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ELECTRICITY CLASS NOTES

 

Electricity

Electricity – Derived a word electron- means amber

1. Introduction

Physical phenomena associated with the presence and flow of electric charge is known as electricity. Electricity and electrical phenomenon have a lot of applications in our day to day life and they also gives a wide variety of well-known effects, such as lightning, static electricity, electromagnetic induction and the flow of electrical current.

विद्युत आवेश की उपस्थिति और प्रवाह से जुड़ी भौतिक घटनाओं को विद्युत के रूप में जाना जाता है। हमारे दैनिक जीवन में विद्युत और विद्युत परिघटनाओं के बहुत सारे अनुप्रयोग हैं और वे खास  प्रभावों की एक विस्तृत विविधता भी देते हैं  जैसे विद्युत, स्थैतिक विद्युत, विद्युत चुम्बकीय प्रेरण और विद्युत का प्रवाह। 


             विद्युत कई प्रकार की होती है :

  • Electricity occurs due to several types :
    1. Electric charge: a property of some subatomic particles, which determines their electromagnetic interactions.
    2. Electric current: a movement or flow of electrically charged particles, typically measured in amperes.
    3. Electric field: an especially simple type of electromagnetic field produced by an electric charge even when it is not moving (i.e., there is no electric current). The electric field produces a force on other charges in its vicinity. Moving charges additionally produce a magnetic field.
    4. Electric potential: the capacity of an electric field to do work on an electric charge, typically measured in volts.
  • In this chapter we will study about electricity.
Types of electricity  -   Modern method

There are two types of Electricity

1.     Static Electricity - Static Electricity is made by rubbing together two or    more objects and making friction.

 

2.     Current Electricity - Current electricity is the flow of electric charge across an electrical field.

 

Static Electricity

Static electricity is when electrical charges build up on the surface of a material. It is usually caused by rubbing materials together. The result of a build-up of static electricity is that objects may be attracted to each other or may even cause a spark to jump from one to the other. For Example rub a baloon on a wool and hold it up to the wall.

Before rubbing, like all materials, the balloons and the wool sweater have a neutral charge. This is because they each have an equal number of positively charged subatomic particles (protons) and negatively charged subatomic particles (electrons). When you rub the balloon with the wool sweater, electrons are transferred from the wool to the rubber because of differences in the attraction of the two materials for electrons. The balloon becomes negatively charged because it gains electrons from the wool, and the wool becomes positively charged because it loses electrons.

Current Electricity

Current is the rate of flow of electrons. It is produced by moving electrons and it is measured in amperes. Unlike static electricity, current electricity must flow through a conductor, usually copper wire. Current with electricity is just like current when you think of a river. The river flows from one spot to another, and the speed it moves is the speed of the current. With electricity, current is a measure of the amount of energy transferred over a period of time. That energy is called a flow of electrons. One of the results of current is the heating of the conductor. When an electric stove heats up, it's because of the flow of current.

There are different sources of current electricity including the chemical reactions taking place in a battery. The most common source is the generator. A simple generator produces electricity when a coil of copper turns inside a magnetic field. In a power plant, electromagnets spinning inside many coils of copper wire generate vast quantities of current electricity.

There are two main kinds of electric current.

1.Direct (DC) and

2.Alternating (AC).

It's easy to remember. Direct current is like the energy you get from a battery. Alternating current is like the plugs in the wall. The big difference between the two is that DC is a flow of energy while AC can turn on and off. AC reverses the direction of the electrons.

                                                          Electric charge: -


  • We know that all matter (saolid , liquid and gas) is comprised of atoms, and all atoms consists of positively charged particles and negative charged particles.
  • Electric charge is a fundamental property like mass; length etc. associated with elementary particles for example electron, proton and many more.
  • Electric charge is the property responsible for electric forces which acts between nucleus and electron to bind the atom together.
  • Charges are of two kinds

1.    negative charge

2.    positive charge

  • Electrons are negatively charged particles and protons, of which nucleus is made of, are positively charged particles. Actually nucleus is made of protons and neutrons but neutrons are uncharged particles.
  • Electric force between two electrons is same as electric force between two protons kept at same distance apart i.e., both set repel each other but electric force between an electron and proton placed at same distance apart is not repulsive but attractive in nature
  • All free charges are integral multiples of a unit of charge e,

 where e = -1.602 × 10 -19 C i. e., charge on an electron or proton.

  • Thus charge q on a body is always denoted by
    q = ne
    where n = any integer positive or negative
  • Charge on electron and proton –

e = -1.602 × 10 -19 C      SI unit       = 6.25× 10 -18

p = +1.602 × 10 -19 c

                                                                           


e = -4.8 × 10 -10 e.s.u

p = +4.8 × 10 -10   e.s.u                 CGS Unit

 

·           Value of charge e and p = equal (1.602 × 10 -19  4.8 × 10 -10)

·           Nature of e and p = opposite ,  ( - ,  + )

·           electronic charge (e)

   e =   0  – neutron

   e =  -1  -  electron

    e = +1  - proton

·           mass

   n = 1

   e = 0 (1/1840)

    p = 1

 

 

Unit of electric Charge

  • charge is denoted by q.
  • Charge on a system can be measured by comparing it with the charge on a standard body.
  • SI unit of charge is Coulomb written as C.
  • CGS unit of charge is electrostatic unit written as e.s.u.
  • 1 Coulomb is the charge flowing through the wire in 1 second if the electric current in it is 1A.
  • It is sclar quantity.
  • It is additive in nature .
  • It is always conserved in nature.
  • It is quantization. ( q = ±ne )    where  n = 1,2,3,…..                                                           Q = ±e , ±2e, ±3e…….

 

Electric field ( विधुतीय क्षेत्र )–

The area around a positive charge so far as the effect of that charge is on,                 is called electric field.

किसी धन आवेश के चारो ओर का वह क्षेत्र जहां तक उस आवेश का प्रभाव परता है,                 विधुतीय क्षेत्र कहलाता है।



Electric intensity ( विधुतीय तीव्रता )

The force acting on a unit positive charge located in an electric field is                    called electric intensity. It is denoted by E.

विधुतीय क्षेत्र में स्थित एकांक धनावेश  पर लगने वाला बल को विधुतीय तीव्रता कहा जाता है इसे E द्वारा निरूपित किया जाता है। 

 

Electric Line of Force (विधुतीय  बल रेखा)

The electric line of force in an electric field is the imaginary line on which the free positive charge is free to move.                                                                             (विधुतीय क्षेत्र में विधुतीय  बल रेखा वह काल्पनिक रेखा है जिस पर सवतंत्र धनावेश चलने के लिए स्वतंत्र है।)


Catagory of material 

1.Conductor
2. Non- conductor
3.Semi - conductor
4.Super conductor

 1.Conductor :-

·   The body in which electric charge carries (free electrons) are found to be mobile and due to which an electric current is generated then this type of body is called good conductor or conductor.

                                             

·       All metallic bodies, acids, human body etc. are good conductor of electricity.

 ·       The best conductors are mettalicbodies like – silver, copper,iron etc.

 ·       Silver and copper are the two well known metals which have thebest electrical conductivity.

 ·       In all metallic bodies only free electrons are charge carries due to which electric current generates.

 

2. Non- conductor/insulator/bad conductor :-

·       The body which does not have mobile charge carries are called bad conductor.

·       Sometimes in bad conductor also immobile charge carries are activated to become free in a zig- zag way but not regularly like in wet rod of wood , thus it acts like a good conductor is called insulator.

·       Wood , rubber mica etc. are examples of bad conductors but asbestos , ebonite etc. are examples of insulator.

 

 

3. Semi – conductor :-

·       Those bodies  whose electrical conductivity or resistivty lies between the conductor and insulator are called semi  conductors.                                                                           ·       At 0 k all semi conductors are insulators.
·       In semi conductors the charge carries are both electrons and holes (+ve ions).
·       Germanium, silicon, selenium etc. are examples of semiconductors.
·       On adding impurity in pure of semiconductors its electrical conductivity increases too.
·       If the temperature of a good conductor is increased then its electrical resistance will increase, consequently its electrical conductance will decrease .
·       If semiconductor with rise in temperature its resistance decreases and consequently its conductivity increases.
      Super conductor –

·       Super conductors are metals and compounds whose resistivity aproches zero below a certain temperature ( critical temperature ) is phenomenon is called superconductivity.

·       For ex -     substance                  crirical temperature

                                 zinc                                              0.88

                              Aliminum                                       1.19

                                   Tin                                              3.72

                                Mercury                                         4.15      


Coulomb’s law

Coulomb's Law statement

In 1785 the French physicist Charles Augustin Coulomb measured the electric force between small charged spheres using a torsion balance. He then formulated his observations in the form of Coulomb's Law. Coulomb's Law is an electrical analog of Newton's Universal Law of Gravitation. It states that

The force of attraction or repulsion between two stationary point charges is
(i) directly proportional to the product of the magnitude of two charges.
(ii) inversely proportional to the square of the distance between them.
This force acts along the line joining the two charges.

To explain above statement consider the figure given below



Coulomb's Law

Above figure consists of two point charges q1q1 and q2q2. These two charges are separated by a distance r. Then according to Coulomb's Law the force FF of attraction or repulsion between them is,
Fq1q2 and F1/r2
Therefore,
F q1q2/r2           (1)
or,
F=kq1q2/r2

where, k is the constant of proportionality. The value of k depends on the nature of the medium between two charges and the system of units we choose to measure Fq1q2 and r.

In SI units system, when two charges are in vacuum or air

K = 1/4πε0

where ε0 is absolute permittivity of free space. Value of this constant in vacuum is 8.85×10−12C2/Nm2. If we put the value of ε0 in above equation for kk we find

k=1/4πε0      =1/4×π×8.85×10−12C2/Nm2=9×109Nm2C−2k=14πε0=14×π×8.85×10−12C2/Nm2=9×109Nm2C−2

So, from above equation (1) the force between two charges located in air or vacuum is given by,

F=14πε0q1q2r2=9×109×q1q2/r2F=1/4πε0q1q2r2=9×109×q1q2r2 (in Newton)

Now if the charges are in a medium (glass, water etc.) other then air and vacuum then electric force between these two charges is F=1/4πε0q1q2/r2

where, ε is a constant and is the the permittivity of the medium in which charges are present. Since the value of εε depends on the medium, the magnitude of force on a charge also depends on the medium.

NOTE:-

  1. The direction of the force is along the line joining two charges. It can be inward or outward depending on attraction or repulsion between the charges.
  2. Coulomb's Law of electrostatics holds for two or more point charges ate rest.
  3. SI unit of permittivity is C2/Nm2. It can also be expressed as farad per meter (F/m). 

               Electric potential 
 ·   The electric potential at a certain point in an electric field is defined as the amount of
work done to move a unit positive charge from infinity (a pont where electric field is negligible ) to that point.
·    Electric potential energy is a scalar quantity and possesses only magnitude and no direction.
·    It is measured in terms of Joules and is denoted by V.
·    It has the dimensional formula of ML2T-3A-1.
·    It’s SI unit = volt or joule/coulomb but special unit of electric potential is volt in the honour of an Italian scientist Alessandro Volta.
·    General formula --  voltage = energy/charge
                                                V     =     W/Q
·    At a point midway between two equal and opposite charges, the electric potential is zero but the electric field is not zero.
·    The electric potential at a point is said to be one volt if one joule of work is done in moving one Coloumb of the charge against the electric field.
·    If a negative charge is moved from point A to B, the electric potential of the system increases.
·    The reference level used to define electric potential at a point is infinity. It signifies that the force on a test charge is zero at the reference level.
·    The surface of the earth is taken to be at zero potential since the earth is so huge that the addition or removal of charge from it will not alter its electrical state.

                                   Potential  difference

The difference in electric potential between two points in electric field is termed as potential difference.

Thus, the potential difference between two points in an electric field (circuit) is defined as the amount of workdone in moving a unit charge from one point to another .

Hence :
                     potential difference  =   Work done/quantityof charged moved.
Now,

If W joules of work is done to move Q coulomb of electric charge from one point to the    otherpoint, then the potential difference V between the two point is expressed as :                   V = W/Q    

 Where           V = Ptential difference

                         W = work done

                         Q = quantityof charge moved.

If 1 joule of work is done to move 1 coulomb of electric charge fromone point to other point,the      potential difference between these points is said to be 1 volt.

     Mathematically,

                            1 volt = 1joule / 1coulomb

                        or    Volt = joule × (coulomb) -1

                               so     1V = 1JC-1

  • It is mesured by volt meter and always connected in parallel across the two points .

Electric current and electrical circuits

    • Consider two metallic conducting balls charged at different potential are hanged using a non-conducting insulating wires .Since air is an insulator ,no charge transfer takes place
    • Now if we join both the metallic wire using a conducting metallic wire then charge will flow from metallic ball at higher potential to the one at lower potential.
    • This flow of charge will stop when the two balls would be at the same potentials.
    • If somehow we could maintain the potential between the metallic balls through a cell or battery, we will get constant flow of the charge in metallic wire, connecting the two conducting balls
    • This flow of charge in metallic wire due to the potential difference between two conductors used is called electric current.
    • So, Electric current is expressed by the amount of charge flowing through a particular area in unit time(1 second).
    • In other words, it is the rate of flow of electric charges (electrons) in a conductor (for example copper or metallic wire).
    • If a net charge Q, flows across any cross-section of a conductor in time t, then the current I, through the cross-section is
                              I = Q/t
      The S.I. unit of electric current is Ampere, denoted by (A).
    • if in the above formula Q is 1coulomb and t is 1 second then, I = Q/T= 1A
    • When 1 Coulomb of charge flows through a cross-section of conductor in 1 second then current flowing through the conductor is said to be 1 Ampere.
    • A smallest unit of electric current ‘milliampere’(mA)

               1milliampere = 1/1000 ampere

                                 1 mA= 1/1000A

                                           =10-3 A

    • Current is measured by an instrument called ammeter. It is always connected in series in a circuit through which the current is to be measured.
    • A continuous and closed path of an electric current is called an electric circuit. For example figure given below shows a typical electric circuit comprising a cell, an electric bulb, an ammeter A and a plug key K.





      Note that the electric current flows in the circuit from the positive terminal of the cell to the negative terminal of the cell through the bulb and ammeter
    • The conventional direction of electric current is from positive terminal of the cell to the negative terminal through the outer circuit.
    •  we can say that conventional direction of electric current is in the direction of the flow of positive charged carriers.                                                                                                                                                            Circuit Diagrams
      • We already know that electric circuit is a continuous path consisting of cell (or a battery), a plug key, electrical component(s), and connecting wires.
      • Electric circuits can be represented conveniently through a circuit diagram.
      • A diagram which indicates how different components in a circuit have to be connected by using symbols for different electric components is called a circuit diagram.
      • Table given below shows symbols used to represent some of the most commonly used electrical components


      Ohm's Law

      • Ohm's law is the relation between the potential difference applied to the ends of the conductor and current flowing through the conductor. This law was expressed by George Simon Ohm in 1826.
      • Statement of Ohm's Law
        If the physical state of the conductor (Temperature and mechanical strain etc.) remains unchanged, then current flowing through a conductor is always directly proportional to the potential difference across the two ends of the conductor.                  in other words    -----
        At constant temperature , the current flowing through a conductor is directly proportional to potential difference its ends.
      • mathematically
        V
        I
        or
        V=IR
        where constant of proportionality R is called the electric resistance or simply resistance of the conductor.
      • Value of resistance depends upon the nature, dimension and physically dimensions of the conductor.
      • From Ohm's Law
        V = IR        or      R = V/I
      • Thus electric resistance is the ratio of potential difference across the two ends of conductor and amount of current flowing through the conductor.
      • If a graph is drawn between the potential difference readings (V) and the corresponding current value (I), then the graph is found to be a straight line passing through the origin as shown below in the figure


      • From graph we see that these two quantities V and I are directly proportional to one another.
      • Also from this graph we see that current (I) increases with the potential difference (V) but their ratio V/I remain constant and this constant quantity.                                                                                                                                                              Resistance
      • The poperty  of a conductor due to which it posses the flow of current through it is called resistance.
      • Electric resistance of a conductor is the obstruction offered by the conductor to the flow of the current through it.
      • Resistance (R) =  Potential difference/ Current                                                               OR              R = V/I
      • SI unit of resistance is Ohm (Ω) where 1 Ohm=1 volt/1 Ampere or 1Ω=1VA-1. Bigger units of resistance are Kilo-Ohm and Mega-Ohm
        1KΩ=103Ω
        1MΩ=106Ω
      • Omh(Ω) - 1 ohm is the resistance  of a conductor such that when a potential difference of 1 volt is applied to its ends , a current of 1 ampere flows through it .
      • The resistance of the conductor depends
        1. on its length,
        2. on its area of cross-section
        3. on the nature of its material
        4. on the temperature of the conductor .     

1. On its length -   The resistance of the conductor is directly proportional to the length of the conductor . thus resistance increase with rise of temperature of the conductor and vice - versa .

or ∝ l

2.On its area of cross - section -- The resistance of a conductor is inversely proportional to the area of its cross section. Thus resistance of the conductor decrease with increase in the area of cross- section and vice - versa.

 or ∝  l/A

3.On the nature of its material -- Electrical resistance of a conductor also depends on the nature of the material of which it is made.             For example a copper wire has less resistance then a nichrome wire of same length and area of cross-section.

or  R ∝ l           or      R ∝  l/A

4.On the temperature of the conductor - - The resistance of the conductor increase  on increasing temperature, and vice - vera . but in semi conductor the resistance decrease with rise (increase ) in the temperature.

Ohmic and Non-Ohmic resistors (or devices)


From above figure  we can see that straight line graph means that ratio V/I is constant . This constant ratio is called resistance R of the conductor. Resistance may be ohmic or non-ohmic.
(a) Resistors (or devices) for which potential difference and current graph is a straight line are called ohmic resistors. Their resistance remains same throughout their operation.



Examples are metallic conductors.
(b) Resistors (or devices) for which potential difference-current graph is not a straight line are called non-ohmic resistors.



Examples are liquid electrolytes, diodes etc.

Specific Resistance - 

  • It  is also known as resistivity. 
  • The resistivity of  a substance is numerically equal to thr resistance of a rod of that substance which is 1 metre long and 1 square metre in cross - section.
  • Resistivity  =  resistance × area of cross section / length             or  ρ=×A /l        Where:
        R is the electrical resistance of a uniform specimen of the material measured in ohms
        l is the length of the piece of material measured in metres, m
        A is the cross-sectional area of the specimen measured in square metres, m^2
  • The SI unit of electrical resistivity is the ohm⋅metre (Ω⋅m). It is commonly represented by the Greek letter ρ, rho.               

     

  • Although the SI resistivity unit, the ohms metre is generally used, sometimes figures will be seen described in terms of ohms centimetres, Ω⋅cm.

    Material resistivity levels

    Materials are put into different categories according to their level or resistivity. A summary is given in the table below.

    RESISTIVITY REGIONS FOR DIFFERENT CATEGORIES OF MATERIALS

    MATERIAL TYPE

    RESISTIVITY REGION

    Electrolytes

    Variable*

    Insulators

    ~10^16

    Metals

    ~10^-8

    Semiconductors

    Variable*

    Superconductors

    0

Combination of resistances - In order to obtain the derived current through the electric circuit usually more than one resistors are used. If all the resistors enclosed in the circuit are replaced by a single resistor so that the same electric current be passed out then this resistance is called an equivalent resistance.
The resistances can be combined in two w ays 
1.Series grouping combination
2.parallel grouping combination

1.Series grouping combination - When two or more resistances are connected end to   end  consecutively , they are said to be connected in series.
2. Parallel grouping combination - When two or more resistances are connected between the same two points , they are said to be cobnnected in parallel.
Resultant Resistance of three resistances connected in series

Effect of Electric Current (विद्युत धारा के प्रभाव)

Electric current has many effects, the most useful of which are the
following.
(विद्युत धारा के अनेक प्रभाव होते है जिनमें से सबसे उपयोगी प्रभाव निम्न है।)

1.Heating effect of current (विद्युत धारा के उष्मीय (तापीय ) प्रभाव)
2.Chemical effect of current (विद्युत धारा के रासायनिक प्रभाव)
3.Magnetic effect of current (विद्युत धारा के चुम्बकीय प्रभाव)


1.Heating effect of current :-

Whenever electric current is passed through a conductor heat energy is produced and it is called heating effect of current .
(जब कभी किसी चालक से विद्युत धारा का प्रभाव किया जाता है तब कुछ उष्मीय ऊर्जा
की उत्पत्ती होता है। इसे ही विद्युत धारा का उष्मीय प्रभाव कहा जाता है।)
This phenomenon occurs because electrical energy is gets transformed
into heat energy when current flows through a wire of some resistance
say R Ω.
(यह घटना इसलिए होती है क्योंकि विद्युत ऊर्जा ऊष्मीय ऊर्जा में परिवर्तित हो जाती है जब
करंट किसी प्रतिरोध के तार से प्रवाहित होता है, जैसे कि R Ω।)
Role of resistance in electrical circuits is similar to the role of friction
in mechanics.
(विद्युत परिपथों में प्रतिरोध की भूमिका यांत्रिकी में घर्षण की भूमिका के समान होती है।)


Quantity of heat produced (उत्पन्न ऊष्मा का परिमाण )

Suppose an electric circuit has a resistor of resistance (R) with the
potential difference (V) between the two ends and the current (I) flowing
through the circuit.
(माना कि एक विद्युत परिपथ में प्रतिरोध का एक प्रतिरोधक ज़ुरा है जिसके दोनों सिरों के
बीच का विभवांतर तथा परिपथ से प्रवाहित धारा है।)
Hence,
the magnitude of charge flowing through the conductor in time t
(अतः चालक से t  समय में प्रवाहित आवेश का परिमाण )
Q = It ( I = Q/t)

Potential difference across R resistance = V
(चुकी R प्रतिरोध के बीच का विभवांतर )

Hence, the work done in carrying the unit charge = V
(अत: इकाई आवेश ले जाने में में किया गया कार्य)

Hence,
the total work done in moving the charge Q through the resistance
(इसलिए प्रतिरोध से Q आवेश ले जाने में किया गया कुल कार्य)
W = V×Q

To perform this work, the electric source supplies the same amount of
energy (V×A) in the circuit .
 (इस कार्य को सम्पादित करने  विधुत स्रोत इतनी ही ऊर्जा (V×Q) परिपथ में आपूर्ति करता है। )

Hence the electrical energy spent in the circuit (अतः परिपथ में खर्च विधुत ऊर्जा )

                                        W = V × Q
                            
                                    W  = V×I×t
                From omh's laws
                                 V = IR
          ∴  W = (IR) It
           or ,  W = I2Rt
            
I = V/ R
        ∴ W = V× V/R×t
    or ,   W = 2 t
                        R
All equations can be written together. Therefore, the electrical energy spent by the power source in a circuit or the work done in the circuit.
(सभी समीकरण  एक साथ लिख सकते है। अतः किसी परिपथ में विद्युत स्रोत द्वारा खर्च विधुत ऊर्जा या परिपथ में सम्पादित कार्य )
 
              W = VQ = VIt = I2Rt = 2 t
                                                          R
This energy expended by the power source is used as heat in the circuit. If the total energy of the source is considered to be converted into heat in the circuit, then the heat produced by the constant current (I) in time (t).
(विद्युत् स्रोत द्वारा खर्च की गई यह ऊर्जा परिपथ में ऊष्मा के रूप में खर्च होती है।  यदि स्रोत के कुल ऊर्जा को परिपथ में ऊष्मा के रूप में रूपांतरित  माना  जाये तब नियत धारा I  द्वारा समय t  में उत्पन ऊष्मा  )
                  H =I2Rt
The amount of heat produced is also expressed in the following way
               H = VQ = VIt = I2Rt = 2 t
                                                       R 
SI unit of heat or energy = Joule. Hence the relation W = V * Q by
 (ऊष्मा या ऊर्जा का SI मात्रक = जूल।  अतः सम्बन्ध W = V * Q से )
           1 joule = 1 volt* 1 coulomb  
  or  ,    1 j = 1v*1c    or  J = VC
If the resistance of the conductor is R ohm, then the heat produced by an electric current of I ampere flowing through it in t seconds.
(अगर चालक का प्रतिरोध R ओम  हो  तब इससे t सेकेण्ड में प्रवहित I एम्पियर की विद्युत धारा से उतपन्न ऊष्मा )
                     H =I2Rt j (joule)
CGS unit of heat = Calorie
 1 calorie = 4.18 joule = 4.2
∴ 1 joule = 1/4.2 calorie
Hence heat produced in CGS system (अतः CGS पद्धति में उत्पन्न ऊष्मा )
         H = I2Rt /4.2 Cal

Joule's law of thermal effect (तापीय प्रभाव के जूल का नियम )

From R resistance to t time electric current I flowing , the value produced in resistance H = I2Rt is called Joule's law of thermal effect of electric current.

(R प्रतिरोध से t समय तक  I विद्युत् धारा प्रवाहित होने से प्रतिरोध में उत्पन्न मान  H =I2Rt  को विद्युत् धरा के तापीय प्रभाव के जूल का नियम कहा जाता है।  )

1. First law /law of Electric current  - In a given conductor in a given time the quantity of heat produced is proportional to square of the steady current through it. 

(किसी चालक में दिए समय में उत्पन्न उष्मा के मात्रा उससे प्रवाहित विद्युत् धारा के परिमाण के वर्ग के समानुपाती होती है।  )

 I2      Where R and t constant

2. Second law / Law of Resistance  - For a given current and in a given time the quantity of heat produced in a conductor is proportional to the electrical resistance of the conductor.(किसी चालक में  प्रवाहित  होने वाली नियत विद्युत् धारा के  कारण  दिए समय मे उत्पन्न उष्मा  मात्रा चालक के विद्युत् प्रतिरोध के  समानुपाती होती है।  )

H R      Where  I and R constant 

3. Third Law / Law of time - In given conductor the quantity of heat produced due to a given current is proportional to the time for which the current passes through it .(किसी चालक से   प्रवाहित  होने वाली नियत विद्युत् धारा के  कारण  चालक में  उत्पन्न उष्मा की  मात्रा जितने समय तक धारा प्रवाहित होती है उस समय  के  समानुपाती होती है।  )

H t        Where I and R constant
or, H I2Rt

Electric Power ( विद्युत् शक्ति )

  • The time rate of doing work is called power 
       (कार्य करने की समय दर को शक्ति कहते हैं।)

Therefore, the time rate of generation of electric energy or expenditure of electrical energy in an electric circuit is called electric power. (अतः  , विद्युत् परिपथ में विद्युत् ऊर्जा उत्पन्न होने या विद्युत् ऊर्जा ख़र्च होने की समय दर को विद्युत् शक्ति कहते है। )
  • It is denoted by P.
  • It is Scalar quantity.
Now, (अब)
from definition ( परिभाषा से )
Electric powerspent electrical energy      (Total work done)
                             time spent using electrical energy (time taken)
P   =   W/t
W = I2Rt
∴ P = I2Rt /t 
          =I2R
now,
     from omh's law 
                  V =IR
  ∴ P = I*I*R
      P = *R * I
             R
      P  = VI
      P = V * V
                    R
      P   = V2
                  R
The relationship between the expended electric energy (work) and electric power of the circuit will be as follows
(परिपथ की खर्च विद्युत् ऊर्जा (कार्य ) तथा विद्युत् शक्ति के बीच  का सम्बन्ध निम्नलिखित होगा  )
          P   =   W/t
          W = P*t
SI unit - 
  •   The SI unit of power =  joule / second
                                           =  j/s or js-1
  • The unit of j/s is called watt (W), so the SI unit of power is watt (W).
                             1W = 1J/s
Watt
  • When a body works at the rate of 1j per second , then its power is 1 watt (W).
  • Generally , bigger unit called kilowatt (kW) is used .

                1 kilowatt = 1000watt       or     1kW = 1000W

Horse power

  •   Other unit of power is Horse power , denoted by hp.
  •   Power of machine is measured in hp.
                        1 hp  = 746 watt(W)
               1 watt - second (Ws) = 1w×1s = 1joule (J)
              1 watt - hour (Wh)    = 3600 joule (jJ
              
  • Generally , power of man = 0.05hp to 1 hp 

Commercial Unit of Electric Energy 

  • The kilowatt-hour (SI symbol: kW⋅h or kW h; commonly written as kWh) is a unit of energy equal to 3600 kilojoules (3.6 megajoules).
  •  kilowatt-hour (kWh) is also called Board of Trade Unit (B.O.T.U).
  • The kilowatt-hour is commonly used as a billing unit for energy delivered to consumers by electric utilities.
  • If an electrical appliance with a capacity of 1000 W is used for 1 hour, then the electrical energy consumed by the appliance will be 1kWh or 1 unit. (यदि 1000 W के सामथ्य वाले विद्युत् उपकरण को 1 घंटा तक प्रयुक्त किया जाये तब उपरण द्वारा उपयुक्त (consumed ) विद्युत् ऊर्जा 1kWh या 1 यूनिट  होगी। )

               1 kWh = 1000 watt hour
                          = 1000 watt×1 hour
                               = 1000 watt ×3600 second
                                = 3.6×106 watt - second
                                 =   3.6×106joule (J)  
 1 Unit of electric energy = 1 kWh =   3.6×106joule (J)
Hence ,  the consumed electrical energy (अतः उपयुक्त विद्युत् ऊर्जा )
                           =   P×T J
                           = V.I.t (watt second )
                           = V.I.t (watt hour )
                           =V.I.t (kilo watt hour ) kWh
                             1000
No. of units of electric energy consumed 
                       = V.I.t =  P×T
                         1000    1000
                    = watt × hour
                        1000
  Note - The power of a power plant, where electricity is produced, is also expressed in more smaller units. megawatt hour is written as MWh.
(विद्युत् संयंत जहाँ विद्युत् का उत्पादन होता है , के सामथ्य को और भी बरी इकाई में अभिव्यक्त किया जाता है। Megawatt Hour (MWh)के रूप में लिखा जाता है। )

 Application of Heating Effect of Electric Current (विद्युत धारा के ताप प्रभाव का अनुप्रयोग)

The heating effect of electric current is used in the following devices (विद्युत धारा के उष्मीय  प्रभाव का अनुप्रयोग निम्नांकित उपकरणों में किया जाता है। )

1.Electric bulb (बिजली के बल्ब)

2.Tube light   (टूयूब लाइट )

3. Electric heater (विद्युत् हीटर  )

4.Electric iron (विद्युत् इस्त्री )

5. Fuse (फ्यूज)

6. Hot wire instrument (गरम तार के यंत्र)

1.Electric bulb (बिजली के बल्ब)  : - 




  • The Electric bulb Was firstly invented by Thomas AlvaEdison.
  • The bulb is evaculated (vaccum created ).
  • Filament of electric bulb is made up of tungsten as -
  1. The metal are using making the filament of the bulb which have melting point and high atomic weight .
  2. It does not Oxidesd readly at heigh temperature.
  3. It  has heigh melting  melting(3380 degree celcius).
  • The bulb bare filled with chemically inactive gases like nitrogen, argon to prolong the life of filament.
  • At high temperature tungsten vapourise and sometimes the inside walls of the bulb is blackened which is called blackering.
  • On passing the electric current normally the bulb's filament acquires the temperature from 1500 to 2500 degree celcius.
  • In ordinary bulbs only 5% to 10%electrical energy is converted in to light energy, whilethe rest is destroyed in the form of thermal energy.
2.Tube light   (टूयूब लाइट ) :-
Tube shaped fluorescent lamp is termed as tube light. Tube light is a lamp that works on low pressure mercury vapor discharge phenomenon and converts ultra violate ray into visible ray with the help of phosphor coated inside glass tube.

Material Used Inside the Tube Light

The materials used to build a tube light are given below.

  1. Filament coils as electrodes
  2. Phosphor coated glass bulb
  3. Mercury drop
  4. Inert gases (argon)
  5. Electrode shield
  6. End cap
Glass stem

Auxiliary Electrical Components along with Tube Light

The tube light does not work directly on power supply. It needs some auxiliary components to work. They are-

  • Ballast: It may be electromagnetic ballast or electronic ballastAn electronic ballast  is a device which controls the starting voltage and the operating currents of lighting devices.
  • Starter: The starter is a small neon glow up lamp that contains a fixed contact, a bimetallic strip and a small capacitor.
  • Capacitors are one of three fundamental electronic components that form the foundation of a circuit – along with resistors and inductors. A capacitor in an electrical circuit behaves as a charge storage device. It holds the electric charge when we apply a voltage across it, and it gives up the stored charge to the circuit as when required.



Working Principle of Tube Light

  • When the switch is ON, full voltage will come across the tube light through ballast and fluorescent lamp starter. No discharge happens initially i.e. no lumen output from the lamp.
  • At that full voltage first the glow discharge is established in the starter. This is because the electrodes gap in the neon bulb of starter is much lesser than that of inside the fluorescent lamp.
  • Then gas inside the starter gets ionized due to this full voltage and heats the bimetallic strip that is caused to be bent to connect to the fixed contact. Current starts flowing through the starter. Although the ionization potential of the neon is little bit more than that of the argon still due to small electrode gap high voltage gradient appears in the neon bulb and hence glow discharge is started first in starter.
  • As voltage gets reduced due to the current causing a voltage drop across the inductor, the strip cools and breaks away from the fixed contact. At that moment a large L di/dt voltage surge comes across the inductor at the time of breaking.
  • This high valued surge comes across the tube light electrodes and strike penning mixture (mixture argon gas and mercury vapor).
  • Gas discharge process continues and current gets path to flow through the tube light gas only due to low resistance as compared to resistance of starter.
  • The discharge of mercury atoms produces ultra violet radiation which in turn excites the phosphor powder coating to radiate visible light.
  • Starter gets inactive during operation of tube light.
Cfls (compact fluorescent lamps)


                         

The compact fluorescent light bulb or lamp is a type of fluorescent lamp generally designed as a replacement for incandescent or halogen lamps. There are two major types of compact fluorescent lamp, screw-in and plug-in.

Screw in lamps are self-ballasted and can generally be placed in an existing screw socket without any additional equipment, plug-in bulbs require a ballast and a socket that corresponds to their specific base configuration. These are also sometimes referred to as integrated (screw base) and non-integrated (plug base).

Both come in a wide variety of wattages, sizes, color temperatures, and base types, and they are known primarily for their efficiency, long life, low cost, and ease of upgrading.

Where did they come from?

Early CFL

Although compact fluorescent lamps are considered to be a fairly recent technology, this bulb type was actually over 100 years in the making. Circline and U-bent bulbs were both created to reduce the overall length of fluorescent bulbs and were precursors to the CFL as it is known today.

The modern CFL was invented by Edward Hammer, an engineer at General Electric, but was not produced at the time due to high production costs. In 1980, Philips became the first manufacturer to mass-produce a compact fluorescent bulb with a screw-in base.

Over the last 30 years, the technology has continued to improve. Today’s CFL is smaller, produces more light per watt, warms up more quickly, has better light quality, and is much cheaper than those in years past.

How do they work?

Compact fluorescent lamps are functionally identical to linear fluorescent bulbs.

Both are gas-discharge lamps that use electricity emitted from cathodes to excite mercury vapor contained within the glass envelope, using a process known as inelastic scattering.

Phosphors and a noble gas such as argon are also contained within the glass envelope.

The mercury atoms produce ultraviolet (UV) light, which in turn causes the phosphors in the lamp to fluoresce or glow, producing visible light.

3. Electric heater (विद्युत् हीटर  )

An electric heater is a device based on the Tharmal effect of an electric current that generates heat that is used in cooking and other useful tasks such as keeping a room warm during winter.the electric heater was discovered in 1893AD by market will

Principle:-When an electric current is flowed in a low resistance wire, the wire blood then heats and burns, that is heat.

 Construction:-It consists of a ceramic plate in which several grooves are made. In these grooves, a wire made of a nichrome alloy (nickel 80% and chromium 20%) is placed in a spiral form. This wire has the feature that if it is heated to high temperature, it does not melt, that is, it does not oxidize by acting with oxygen O2. This is because its resistance is very high. Less. The resistance of the heating wire to the voltage is high and the resistance of the heating wire at high voltage is low.

Working:- as current flow through the heater wire So it becomes red hot and emits heat in the form of radiation. The heating wire is placed at the depth of the ceramic plate so that if a metal vessel is placed on the heater, it will not touch the heating wire. By not keeping the wire straight, the spiral shape is kept in the form of a coil so that the length of the nichrome wire gets in a bit of space and we can get more heat So it becomes red hot and emits heat in the form of radiation. The heating wire is placed at the depth of the ceramic plate so that if a metal vessel is placed on the heater, it will not touch the heating wire. By not keeping the wire straight, the spiral shape is kept in the form of a coil so that the length of the nichrome wire gets in a bit of space and we can get more heat.

Electric iron (विद्युत् इस्त्री )
In an electric iron the nichrome wire or coil is would upon a thick mica sheet. As the mica has good electric resistance and doesn't melt at hogh temperature consequently this sheet or plate enclosing nichrome coil is kept on the upper surface of asteel slab. On the whole mica steel slab system, a hand keeper is attached which is made of wood or good quantity fibre or of any others which are badconductors. Whenever an electric current is passed through the nichrome coil, the base of the steel slab is heated and the clothes and garments are pressed out.

5. Fuse (फ्यूज) :-

The thermal effect of electric current is a protection system fuse. When the current in an electric circuit exceeds its maximum limit, then more heat is generated in the level of the circuit, due to which the electric level may catch fire, as well as the possibility of damage to many sensitive electrical equipment. increases. There are mainly two reasons for the increase in current in the circuit. 
(विद्युत् धारा के उष्मीय प्रभाव एक सुरक्षा व्यवस्था फ्यूज है। किसी विद्युत् परिपथ में जब विद्युत् की धरा अपनी अधिकतम सीमा से ज्यादा हो जाता है, तब परिपथ के तर में ज्यादा ऊष्मा की उत्पत्ति होती है , जिसे कारण विद्युत् तर में आग लग सकती है साथ ही बहुत सरे संवेदनशील विद्युत् उपकरण के ख़राब होने की सम्भावना बढ़ जाती है। परिपथ में विद्युत् धरा के बढ़ने के मुख्यतः  दो कारण है  ) -

 1. Overloading  (अतिभारण)

2. Short circuiting (लघुपथन )

1. Overloading  (अतिभारण) :-

Overloading of electric circuit means that the current circulating in the circuit becomes more than the capacity of the components in the circuit to withstand the current. The situation of overloading in the electric circuit arises when too many electrical appliances of high power rating are switched on at a time then a larger current flows in to the circuit due to which wires of the circuit are excessively heated up which may lead to fire.

2. Short circuiting (लघुपथन ) :-

Sometimes in the networks of electric circuits the live wire and neutral wire come in contact either diretly or through the conducting wire. This is called the situation of short- circuiting . In the case of short- circuiting the resistance of the network of the electric circuit is almost zero which causes to flow a large current in the conducting wire due to which wires are unwantedly heated up and wires may lead to fire.

                                        For the safety point of view electric fuses are utilised in various electrical circuits and thus electrical appliances are safeguard. The fuse is placed in series with the electical device, and consists of short length of wire made of a metal velue (aluminum, copper, lead etc.) or alloy of an appropriate melting point. If and When a current higher than the specified (depending on the power - voltage rating of the appliance) flows through the circuit , the fuse wire becomes heated up and melts, thus breaking the circuit. For domestic purposes, fuses are rated as 1A, 2A ,3A , 4A , 5A and 10aetc. For instance , for an electric oven rated 2KW - 220V , the fuse wire must be rated at 10A. Thus ,as soon as the current flow in the oven exceeds 10A , the fuse melts and the circuit breaks , thus the oven from damage.

6. Hot wire instrument (गरम तार के यंत्र) In this, the origin of current flows in a thin layer, due to which the water becomes hot and its length goes on. The higher the value of the earth in the water, the hotter the water and the greater the expansion in it. Attached to the scale is a needle that moves over a hemispherical scale. This scale is constructed in such a way that it gives the square root value of the average of the square of the electric current. This type of instrument is used to measure that current or potential difference, whose value varies with time and is positive and negative. (इसमें एक पतला तर में विद्युत्  प्रवाहित  पर   की उत्पत्ति होती है , जिससे तर गर्म होता है था इसकी लम्बाई बाद जाती है।  तर में धरा का मान जितना ज्यादा होता है तर उतना ही गर्म होता है और उसमे फैलाव भी उतना ही अधिक  है। तर से जुड़ी एक सुई होती है जो एक अर्द्धगोलीय स्केल के ऊपर घूमती है।  यह स्केल इस प्रकार बना होता है जो विद्युत् धरा के वर्ग के औसत के वर्गमूल मान को बताता है। इस प्रकार के यंत्र का उपयोग उस धरा या विभवांतर के मापन के लिए  जाता है, जिसका मान समय के साथ बदलता रहता है तथा धन और ऋण होता  है।  )

                 









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