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# An LC circuit has zero resistance, no battery, a capacitor C=62microFarads, and an inductor L=0.2H connected in a simple loop. The capacitor and

An LC circuit has zero resistance, no battery, a capacitor C = 62 microFarads, and an inductor L = 0.2 H connected in a simple loop. The capacitor and inductor store a compined total energy of U = 48 microJoules. (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? ms (b) How much charge is stored on one side of the capacitor at t = 0? microCoulombs. (c) How much current flows through the inductor at the time you found in (a)? mA (d) If the inductor is a cylindrical solenoid of length l = 9 centimeters and radius r = 2.2 centimeters, find the number of coils in the solenoid. coils (e) What is the maximum magnetic field inside the inductor? mT (f) If the maximum electric field in the capacitor is E = 0.9 x10 3 N/C and the space between the plates if filled with a dielectric of constant 100,000, what is the separation between the plates? mm (g) What is the area of one of the plates? cm 2

Solution:
a) Let the charge across capacitor be: The energy stored is given by: Rate of change of energy is : For max rate of change: b) c) When energy is transferred then: d)
permeability
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