Part 1

The goal of these problems is to use Gauss' law to explore relationships between electrostatic charge, electric field intensity, electric flux density, and energy storage in an atypical capacitor. Consider a spherical capacitor with two hemispherical dielectrics of absolute permittivity ei and E2. A positive charge (+Q) is distributed on the inner metal shell, and a negative charge (-Q) on the outer metal shell.

standard mathematical constants and symbols (e.g. pi), you may only use the symbols shown in the figure and question description.

Part 2

Which of the following plots correctly represents the electric field intensity, E(r), of this capacitor?

Part 3

Provide a symbolic expression for the electric field intensity, E (as a function of r, E=E(r)), in the region Ri< r < R2. Apart from

Part 4

Which of the following plots correctly represents the voltage, V(r), of this capacitor?

Part 5

Provide a symbolic expression for the total capacitance, C, of this device.