BONUS PROBLEM: THIS PROBLEM IS WORTH 10 POINTS! The electric…

BONUS PROBLEM: THIS PROBLEM IS WORTH 10 POINTS! The electric field of a sinusoidal electromagnetic wave obeys the equation E(x,t)=(375 V/m)cos⁡.{“version”:”1.1″,”math”:”E(x,t) = (375 \text{ V/m}) \cos\Big.”} Which of the following options best describes the characteristics of this wave?  

Electric charge is uniformly distributed inside a nonconduct…

Electric charge is uniformly distributed inside a nonconducting sphere of radius 0.30 m. The electric field at a point P, which is 0.50 m from the center of the sphere, is 15,000 N/C and is directed radially outward. At what distance from the center of the sphere does the electric field have the same magnitude as it has at P?

A charged capacitor is connected to an ideal inductor to for…

A charged capacitor is connected to an ideal inductor to form an LC circuit with a frequency of 1.6 Hz. At time t = 0, the capacitor is fully charged. At a later time, the charge on the capacitor is measured to be 3.0 μC and the current in the circuit is equal to 75 μA. What is the maximum charge of the capacitor?