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A voltage \(v={v}_{0}\sin \omega t\) applied to a circuit drives a current \(i={i}_{0}\sin (\omega t+ϕ)\) in the circuit…

Q1

A voltage \(v={v}_{0}\sin \omega t\) applied to a circuit drives a current \(i={i}_{0}\sin (\omega t+ϕ)\) in the circuit. The average power consumed in the circuit over a cycle is

a

Zero

b

\({i}_{0}{v}_{0}\cos ϕ\)

c

\(\frac{{i}_{0}{v}_{0}}{2}\)

d

\(\frac{{\mathrm{i}}_{0}{v}_{0}}{2}\cos ϕ\)

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