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One dimensional geometry. A parallel plate capacitor is shown in Figure 6.41. The capacitor may be viewed as infinite in extent. With d = 1 m and free space between the plates, calculate:
(a) The potential distribution everywhere within the capacitor using the finite difference method with four equal divisions.
(b) Repeat the solution in (a) with eight equal divisions.
(c) Calculate the potential distribution using direct integration. Show by comparison with (a) and (b) that the division does not matter in this case. Why?
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