Question

derive an expression fir electric current consumed in a device in terms of current I ,resistanceR, and time t

Answer 1

Derivation :-

We know that work done = W = QV

Therefore, P = W/t

Now, P = QV/t

⇒ V = IR

⇒ P = (Q/t)IR = I²R

⇒ Energy = P × t

⇒ Energy = I²R × t

⇒ Energy = (V/R²) × R × t

⇒ Energy = (V²/R) × t

⇒ Energy = V²/R × t

Hence, Derived

Where, V = voltage

R = Resistance

t = time

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