Two long, cylindrical conductors of radii a 1 and a 2 are parallel and separated by a

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Two long, cylindrical conductors of radii a1 and a2 are parallel and separated by a distance d, which is large compared with either radius. Show that the capacitance per unit length is given approximately by

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Where a is the geometrical mean of the two radii.

Approximately what gauge wire (state diameter in millimeters) would be necessary to make a two-wire transmission line with a capacitance of 1.2 ? 10?11 F/m if the separation of the wires was 0.5 cm? 1.5 cm ? 5.0 cm ?

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