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 1d29f11e 7b30 4ed4 83d3 0618a35260a6 and permittivity c712cab3 7fee 4099 926a 38ee72967378.

(a) With the initial potential given by (a) of Prob. 4.1.4, with d1cde22c 0650 4f8f 8dfb b41e79bb2959 dd572956 3829 4b85 aec9 745bf801f11e c712cab3 7fee 4099 926a 38ee72967378 and c94a3ff5 6842 4b51 9ddf 823cc43010d3 a given constant, show that 22a87eb9 45ef 4dd3 9743 d39fc92614f3 is given by (c) of Prob. 4.1.4.

(b) Show that for e69d6928 ec7c 48fa 9697 e7c6d8ff8e55 is given by (c) of Prob. 4.1.4 multiplied by expfb9a3038 412e 4a4c b564 1ff49cc24445, where dfc5ad17 e25c 46c2 a661 1bc91796c53d.

(c) Show that for cb1871b6 def6 441f 83d9 ff73905b79d4 the potential is given by (a) of Prob. 4.1.4 multiplied by expfb9a3038 412e 4a4c b564 1ff49cc24445.

(d) Show that for 102c2314 228e 4e0a 8f5a 225363df9250, the current i(t) from the electrode segment is (f) of Prob. 4.1.4

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