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please show work A charged capacitor and an inductor are connected as shown in t

ID: 2143482 • Letter: P

Question

please show work

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 = 2.60 C. The capacitance is C = 4.00 F, and the inductance is L = 60.0 mH. What is the electrical energy stored initially by the charged capacitor? Find the maximum current in the inductor.

Explanation / Answer

a). E = Q^2/2C = (2.6*10^-6)^2/(2*4*10^-6) = 8.45*10^-7 J b). maximum energy stored in inductor = 0.5*L*i^2 => 8.45*10^-7 = 0.5*60*10^-3*i^2 => i = 5.3* 10^-3 A