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An LC circuit has zero resistance, no battery, a capacitor C=66microFarads, and an inductor L=0.7H connected in a simple loop. The capacitor and inductor store a compined total energy of U=24microJoules.

(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) If the inductor is a cylindrical solenoid of length l=11centimeters and radius r=3centimeters, find the number of coils in the solenoid.

(c) What is the maximum magnetic field inside the inductor?

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