Question

Derive the expression for power P consumed by a device resistance R and potential difference

Answer 1

We know

W = Q*V ..............(1) where W = Work done, Q = flow of charges and V = potential difference

We also know

Current I = Q/t where Q = flow of charges and t = time

= Q = It............(2)

putting value of Q from equation (2) to (1)

Work done or energy consumed = I*V*t

Answer 2

Explanation:

Let V is the potential difference applied across a resistance R. The amount of work done in moving a charge Q is given by :

$W=QV$

We know that electric charge, $Q=I\times t$, I is electric current and t is time. So,

$W=ItV$

Also, the rate at which work is done is called power. So,

$P=\dfrac{W}{t}$

i.e.

$P=\dfrac{ItV}{t}\\\\P=V\times I$

So, electric power is given by the product of voltage and current flowing in the circuit.

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