Question: An ac generator is in series with a capacitor and an inductor in a circuit with negligible resistance. (a) Show that the charge on the

An ac generator is in series with a capacitor and an inductor in a circuit with negligible resistance.

(a) Show that the charge on the capacitor obeys the equation


d2Q Q L- di2 = Emay cos ot


 (b) Show by direct substitution that this equation is satisfied by Q = Qmax cos ωt if

An ac generator is in series with a capacitor and


 (c) Show that the current can be written as I = Imax cos (ωt – δ), where

An ac generator is in series with a capacitor and


and δ = –90° for ω < ω0 and δ = 90o for ω > ω0.

d2Q Q L- di2 = Emay cos ot

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