In the two-dimensional configuration of Prob. 4.1.4, consider the field transient that results if…

In the two-dimensional configuration of Prob. 4.1.4, consider the field transient that results if the region within the cylinder of rectangular crosssection is filled by a material having uniform conductivity and permittivity .

(a) With the initial potential given by (a) of Prob. 4.1.4, with and a given constant, show that is given by (c) of Prob. 4.1.4.

(b) Show that for is given by (c) of Prob. 4.1.4 multiplied by exp, where .

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(d) Show that for , the current i(t) from the electrode segment is (f) of Prob. 4.1.4

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