A charged capacitor and an inductor are connected as shown in the drawing. There

Question

A charged capacitor and an inductor are connected as shown in the drawing. There is no resistance in the circuit. As Section 23.4 discusses, the electrical energy initially present in the charged capacitor then oscillates back and forth between the inductor and the capacitor. The initial charge on the capacitor has a magnitude of q = 2.90 C. The capacitance is C = 3.20 F, and the inductance is L = 90.0 mH.

(a) What is the electrical energy stored initially by the charged capacitor? Energy =

(b) Find the maximum current in the inductor. Imax =

Explanation / Answer

electrical energy stored is U = q^2/(2*C) = (2.9*10^-6)^2/(2*3.2*10^-6) = 1.32*10^-6 J

Using law of conservation of energy

Energy stored in capacitor = energy stored in inductor

q^2/(2*C) = 0.5*L*Imax^2

1.32*10^-6 = 0.5*90*10^-3*Imax^2

Imax = 5.42*10^-3 A

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