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Answer:

(a) \(P_{av} = e_{rms}\,i_{rms}\cos\phi = \dfrac{e_0 i_0}{2}\cos\phi\), where \(\cos\phi = \dfrac{R}{Z}\) is the power factor (equivalently \(P_{av} = i_{rms}^2 R\)).

(b) \(Q = \dfrac{\omega_r L}{R} = \dfrac{1}{\omega_r C R} = \dfrac{1}{R}\sqrt{\dfrac{L}{C}}\), where \(\omega_r = \dfrac{1}{\sqrt{LC}}\) is the resonant angular frequency. Also \(Q = \dfrac{\omega_r}{\Delta\omega}\) (resonant frequency/bandwidth).

Doubtly AI · 29 Oct 2026 AI-generated · not yet verified Report
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