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Power Dissipation in Resistors

When an electric current passes through a conductor, some useful electrical energy is dissipated in the form of heat energy. This loss of electrical energy is due to the collision of charges with the atoms of conductor. Loss of electrical energy in unit time is referred to as "power dissipation in resistor".

 

EXPRESSION FOR POWER LOSS

Let 'q' amount of electric charge passes through a conductor in unit time, the electric current through the conductor is given by:

I = q/t

Or              q = I x t ............... (1)

During the flow of electric current energy lost in the form of heat is equal to q x V, where V is the potential difference across the ends of conductor.

Energy lost = q x V

Putting the value of q, we get

Energy lost = I x t x V
Energy lost/t = VI

But Energy /t = Power

Power = VI

POWER LOSS IN TERMS OF CURRENT AND RESISTANCE

According to Ohm's law V = IR. putting the value of V, we get

Power = (IR)I

Power = I2R

 

POWER LOSS IN TERMS OF RESISTANCE AND POTENTIAL DIFFERENCE

As power = VI and according to Ohm's law I = V/R, putting the value of i, we get

Power = VI
Power = V (V/R)

Power = V2/R


UNIT OF POWER

In SI system unit of power is Watt.
Other large units are:
1. Kilowatt KW (1000 watt)
2. Megawatt W(106 watt)

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