A voltage v = v₀ ω t applied to a circuit ...

CBSE Class 12 Physics 2025 All Sets Solved Paper

Question : 6 of 16

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A voltage

v = v_0

\sin\omega t

applied to a circuit drives a current

i = i_0

\sin(\omega t + \varphi)

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(\omega t) \times i_0 \sin(\omega t + \varphi)

Using the average power formula over a cycle:

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