Determine the capacitance of: (a) a 1-ft length of 35B/U coaxial cable, which has an inner conductor 0.1045 in. in diameter, a polyethylene dielectric (r = 2.26 from Table C.1), and an outer conductor that has an inner diameter of 0.680 in.; (b) a conducting sphere of radius 2.5 mm, covered with a polyethylene layer 2 mm thick, surrounded by a conducting sphere of radius 4.5 mm; (c) two rectangular conducting plates, 1 cm by 4 cm, with negligible thickness, between which are three sheets of dielectric, each 1 cm by 4 cm, and 0.1 mm thick, having dielectric constants of 1.5, 2.5, and 6.

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Determine the capacitance of: (a) a 1-ft length of 35B/U coaxial cable,
which has an inner conductor 0.1045 in. in diameter, a polyethylene dielectric
(r = 2.26 from Table C.1), and an outer conductor that has an inner diameter of
0.680 in.; (b) a conducting sphere of radius 2.5 mm, covered with a polyethylene
layer 2 mm thick, surrounded by a conducting sphere of radius 4.5 mm; (c) two
rectangular conducting plates, 1 cm by 4 cm, with negligible thickness, between
which are three sheets of dielectric, each 1 cm by 4 cm, and 0.1 mm thick, having
dielectric constants of 1.5, 2.5, and 6.

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