A parallel-plate capacitor has capacitance Co= 7.90 pF when there is air between the plates. The separation between the plates is 1.70 mm

A parallel-plate capacitor has capacitance C0 = 8.00 pF when there is air between the plates. The separation between the plates is 1.20 mm. Express your answer with the appropriate units. Part A: What is the maximum magnitude of charge that can be placed on each plate if the electric field in the region between the plates is not to exceed 3.00×104 V/m? Part B: A dielectric with K = 2.70 is inserted between the plates of the capacitor, completely filling the volume between the plates. Now what is the maximum magnitude of charge on each plate if the electric field between the plates is not to exceed 3.00×104 V/m?

Regarding the Earth and a cloud layer 650 m above the Earth as the "plates" of a capacitor, calculate the capacitance if the cloud layer has an area of 1.53 km2. If an electric field of 2.0 × 106 N/C makes the air breakdown and conduct electricity (lightning), what is the maximum charge the cloud can hold?  εo = 8.85 x 10−12 F/m

A certain parallel-plate capacitor is filled with a dielectric for which κ = 6.26. The area of each plate is 0.0573 m2, and the plates are separated by 2.35 mm. The capacitor will fail (short out and burn up) if the electric field between the plates exceeds 164 kN/C. What is the maximum energy that can be stored in the capacitor?