2. A circular parallel plate capacitor has a voltage difference Vo across its plates. Coinciding with the axis of this capacitor is a lossy dielectric cylinder with material characteristics given

by er,0. Assume the size of the parallel plates is much larger than the radius of this lossy dielectric. (a) Find the capacitance and resistance of this device (5 pts)? (b) Find the free and bound charge densities? (10 pts). (c) what is the effective inductance of this structure?(10 pts) (Hint: this is a rare case that both E and B exists together in electrostatic. Find the magnetic energy stored in the device and use that to find the inductance.) Ignore all fringing fields beyond the parallel plates.

Fig: 1

Fig: 2