a long straight cylindrical wire of radius r meter, in a medium of permittivity e is parallel to a horizontal plane conducting sheet. The axis of the wire is it expr metres above the sheet (a) Derive an expression of the capacitance per unit length between the wire and the sheet (b) If r = 0.3 x 10-2 m, h.= 0.12 m find the capacitance per metre length (c) If the potential difference between the wire and sheet is 5 kV, find the magnitude and direction of electric stress in the medium at the upper surface of the sheet at a distance 20 cm from the axis of the wire. Take e = 1/36π x 10-9 F/m [(a) C = 2πe/ln 2h - r/r F/m (b) 0.0127 x 10-9 F/rn (c) 6.85 kV/m acting vertically downward]
a long straight cylindrical wire of radius r meter, in a medium of permittivity e is parallel to a horizontal plane conducting sheet. The axis of the wire is it expr metres above the sheet (a) Derive an expression of the capacitance per unit length between the wire and the sheet (b) If r = 0.3 x 10-2 m, h.= 0.12 m find the capacitance per metre length (c) If the potential difference between the wire and sheet is 5 kV, find the magnitude and direction of electric stress in the medium at the upper surface of the sheet at a distance 20 cm from the axis of the wire. Take e = 1/36π x 10-9 F/m [(a) C = 2πe/ln 2h - r/r F/m (b) 0.0127 x 10-9 F/rn (c) 6.85 kV/m acting vertically downward]
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13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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a long straight cylindrical wire of radius r meter, in a medium of permittivity e is parallel to a horizontal plane conducting sheet. The axis of the wire is it expr metres above the sheet
(a) Derive an expression of the capacitance per unit length between the wire and the sheet
(b) If r = 0.3 x 10-2 m, h.= 0.12 m find the capacitance per metre length
(c) If the potential difference between
the wire and sheet is 5 kV, find the magnitude and direction of electric stress in the medium at the
upper surface of the sheet at a distance 20 cm from the axis of the wire.
Take e = 1/36π x 10-9 F/m
[(a) C = 2πe/ln 2h - r/r F/m
(b) 0.0127 x 10-9 F/rn (c) 6.85 kV/m acting vertically downward]
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