Question

derive an expression for electric energy consumed in a device in terms of v,i and t where v is the potential difference applied to it,I is the current drawn by it and t is the time for which current flows?

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 = V*I*T

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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