Smarty McGuy intends to charge the parallel plate capacitorinside his intergalactic Ford Pinto (built by Doc Dre) with alightning strike of 26x103 amps. Doc Dre's capacitorspecifications are listed below:
The distance between the capacitor plates is 5 microns
The surface area of the capacitor plates is 3,844cm2
There is a dielectric between the capacitor plates
What is the minimum dielectric constant of the material betweenthe plates needed to store all the charge from the lightningassuming that the lightning strike lasts for 6x10-6seconds and provides 1.21 Gigawatts of power? Assume the dielectricdoesn't reach its breakdown voltage.