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

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

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

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

Transcribed Image Text:

d2Q Q L- di2 = Emay cos ot