A voltage v = v_0 \sin\omega t applied to a circuit drives ...

CBSE Class 12 Physics 2025 All Sets Solved Paper

Question : 6 of 16

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A voltage

v = v_0

\sinω t

applied to a circuit drives a current

i= i_0

\sin(ω t + φ)

in the circuit. The average power consumed in the circuit over a cycle is

Solution:

The instantaneous power in an AC circuit is given by:

P = Vi = V_0 \sin(ω t) × i_0 \sin(ω t + φ)

Using the average power formula over a cycle:

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