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Question

Which of the following represents electrical power dissipated in an electrical circuit?


A

I2R

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B

IR2

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C

VI

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D

V2R

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Solution

The correct options are
A

I2R


C

VI


D

V2R


Electrical power, P can be defined as the rate at which electrical energy (W) is consumed in an electrical circuit.
P=Wt

Potential difference, V across any circuit is defined as the electrical energy W supplied by a source for a unit flow of charge (I×t)
V=WI×t

W=V×I×t

So, power, P=V×I×tt=VI

By Ohm's law, V=IR or I=VR

Substituting the value of I in the expression of power, P=VI=V×VR=V2R

Since, V=IR, P=V2R=(IR)2R=I2R

Thus, electrical power P dissipated in a resistor =Wt=VI=V2R=I2R.


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