An LC circuit has zero resistance, no battery, a capacitor C=46microFarads, and

Question

An LC circuit has zero resistance, no battery, a capacitor C=46microFarads, and an inductor L=0.2H connected in a simple loop. The capacitor and inductor store a compined total energy of U=20microJoules.
(a) If all the circuits energy is stored in the capacitor at time t = 0, when is the soonest time that all the energy will be stored in the inductor?
(b) How much charge is stored on one side of the capacitor at t = 0?
(c) How much current flows through the inductor at the time you found in (a)?
(d) If the inductor is a cylindrical solenoid of length l=4centimeters and radius r=2.9centimeters, find the number of coils in the solenoid.

Explanation / Answer

f=(2)/LC = 0.791*10^6

time = 1.264*10^-6 sec

a>1.264*10^-6 sec

b>q^2/(2C) = 20 * 10 ^ -6

hence q=42.9* 10 ^ -6 coulumbs

c> ZERO

d>0.2H=(10^-7 * N^2 * 3.14 *2.9*2.9*10^-2)/4

N=547 turns

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