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c. What is the capacitance of the arrangement of charged surfaces? d. Knowing th

ID: 2120394 • Letter: C

Question



c.     What is the capacitance of the arrangement of charged surfaces?

d. Knowing that the electric field (using Gauss%u2019 Law) looks like that of a point charge, calculate the energy density (as a function of radius) in the region between the spherical surfaces.

e. How much energy is stored in a spherical shell of infinitesimal thickness, dr, between the surfaces?

       f. What total energy is stored in the electric field between the surfaces?
How does your answer compare to the total energy stored in the capacitor?

Explanation / Answer

the potential of spherical shall is Vshell = - KQ / c
and that of metal sphere is Vsphere = KQ / a.