An isolated parallel plate capacitor has circular plates of radius `4.0cm`. If the gap is filled with a partially conducting material of dielectric constant `K` and conductivity `5.0xx10^-14Omega^-1m^-1`. When the capacitor is charged to a surface charge density of `15muC//cm^2`, the initial current between the plates is `1.0muA`?
a. Determine the value of dielectric constant `K`.
b. If the total joule heating produced is `7500J`, determine the separation of the capacitor plates.

Options

A. 4 mm
B. 5 mm
C. 3 mm
D. 6 mm

Answer

B

Explanation

`i_(0)=(sigmaq_(0))/(Kepsilon_(0))`
`u=(q_(0)^(2))/(2C)=(q_(0)^(2))/(2(Kepsilon_(0)A)/(d)):d=5min`