A spherical capacitor has an inner sphere of radius R 1 with a charge of +Q and

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A spherical capacitor has an inner sphere of radius R1 with a charge of +Q and an outer concentric spherical shell of radius R2 with a charge of –Q.

(a) Find the electric field and the energy density at any point in space.

(b) Calculate the energy in the electrostatic field in a spherical shell of radius r, thickness dr, and volume 4πr2 dr between the conductors?

(c) Integrate your expression from part (b) to find the total energy stored in the capacitor, and compare your result with that obtained using U = ½ QV.

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