A spherical vacuum-filled capacitor has inner and outer radii of 4.00[mm]4.00[mm] and 6.00[mm]6.00[mm], respectively. The inner spherical shell is positively charged while the outer shell is negatively charged. If the potential difference across the conducting shells is 4.50[V]4.50[V], what is the electric energy density at r=5.00[mm]r=5.00[mm] from the center of the inner sphere?

A student is trying to build a home-made capacitor. He uses two 1.0 cm x 1.0 cm aluminum foil as the two parallel conducting plates, spaced 0.40 cm apart. He then connects the two foils with a 3.0 V battery. How many electrons are stored in the negative plate?

On a stormy day, a cloud is 530 m above the ground. The total charge of the water in the cloud is negative, and the charge on the ground below the cloud is equally positive. The average electric field below the cloud is 7.30×105 V/m upward. What is the potential difference AV between the cloud and the ground. (in V) OA: 3.869×108 B: 4.527×108 OC: 5.296×108 OD: 6.197×108 OE: 7.250x108 OF: 8.483x108 OG: 9.925×108 OH: 1.161×10⁹

Two conducting concentric spherical shells have radii a = 0.165 m and b = 0.24 m.  Part (a) Express the capacitance of the two concentric shells in terms of radii a and b and the Coulomb constant k. Part (b) Calculate the numerical value of the capacitance in F. Part (c) Express the capacitance C through the potential difference△V across the capacitor and charge Q. Part (d) If the charge in the inner sphere is +Q = 3 µC, the outer sphere -Q = -3 µC, calculate the electric potential difference△V between the outside and the inside conductors in V.