Question

Derive an expression for electric energy consumed in a device in terms of V,I and t,where V is the potential diff. applied to it,I is the current drawn by it and t is the time for which the current flows.

Answer 1

let us consider an electrical circuit through which charge Q flows under a potential diff. of V. then,
electrical work done=potential diff. X charge
W=V X Q .......(1)
but, Q=I X T. ........(2)
where I is the current and T is the time for which the current is passed.
from eqn 1 and 2 we get,
W = V X I X T.
W = VIT

Answer 2

Explanation:

Energy =( V²/R²)t

We know that work done ,

W=QV

.•. P=W/t

now,

P=QV/t

V=IR

P=(Q/t)I²R

=I²R

Energy =P×t

=I²R×t

=(V²/R²)×R×t

=(V²/R)t

energy=(V²/R)t

where,V=voltage

R = resistance

t=time

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