Considering the symmetry, we find that the potential is function of r only. The Laplace’s equation can be written as:
............(2.139)
From the above equation, by direct integration we can write,
...............................(2.140)
Applying boundary conditions
................................(2.141)
we can find C1 and C2 and the expression for the potential can be written as : ...........................(2.142)
The electric field and the capacitor can be obtained using the same procedure described in Example -3.
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Fig 2.34:
Concentric conducting spherical shells
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