A charged capacitor and an inductor are connected as shown in the drawing. (a) W

Question

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

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

(b) Find the maximum current in the inductor.

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 = 2.70 ?C. The capacitance is C = 4.00 ?F, and the inductance is L = 90.0 mH. (a) What is the electrical energy stored initially by the charged capacitor? (b) Find the maximum current in the inductor.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 = 2.70 ?C. The capacitance is C = 4.00 ?F, and the inductance is L = 90.0 mH. What is the electrical energy stored initially by the charged capacitor? Find the maximum current in the inductor.

Explanation / Answer

A

A

GIVEN DATA

q = INITIAL CHARGE = 2.7*10^-6c (ASSUMING)

C =Capacitance = 4*10^-6 Farads

V= Initial Voltage = C/q = 4/2.7 = 1.481V

E= energy stored initially = (1/2)*C*V^2 = 0.5*4*10^-6*1.481*1.481 = 4.38*10^-6 Joules

Maximium Current = V/sqrt(LC) = 1.481/sqrt(90*10^-3*4*10^-6) = 7.805KA

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