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=44microJoules. If the inductor is a cylindrical solenoid of length l=9centimeters and radius r=3centimeters, find the number of coils in the solenoid. What is the maximum magnetic field inside the inductor? If the maximum electric field in the capacitor is E=1.3x103N/C and the space between the plates if filled with a dielectric of constant 100,000, what is the separation between the plates? What is the area of one of the plates?