You are helping with the design of specialized capacitors for electrical research. Your supervisor shows you a parallel-plate capacitor that he has just designed with the space between the plates completely filled by a dielectric with dielectric constant

= 2.20 and resistivity = 2.00 10¹⁵ m. He explains that the charged capacitor will slowly discharge due to current leakage between the charged plates through the dielectric. He asks you to determine the following.

a. the magnitude of the leakage current (in A) when the capacitor is first charged to Q = 9.40 C

b. the time interval (in hr) over which the charge on the capacitor will fall to 1/e of its initial value