(a) A solid cylindrical conductor of radius a and charge Q is coaxial with a cylindrical shell of negligible thickness, radius b > a, and charge -Q (as shown in the figure). The length of the cylindrical conductor is 1. Show that the capacitance of this cylindrical capacitor is C= 2rE, In(b/a)` (b) A coaxial cable used in a transmission line has an inner radius of 0.10 mm and an outer radius of 0.50 mm. Calculate the capacitance for a 1- meter long cable. Assume that the space between the conductors is filled with substance having dielectric constant « = 4
(a) A solid cylindrical conductor of radius a and charge Q is coaxial with a cylindrical shell of negligible thickness, radius b > a, and charge -Q (as shown in the figure). The length of the cylindrical conductor is 1. Show that the capacitance of this cylindrical capacitor is C= 2rE, In(b/a)` (b) A coaxial cable used in a transmission line has an inner radius of 0.10 mm and an outer radius of 0.50 mm. Calculate the capacitance for a 1- meter long cable. Assume that the space between the conductors is filled with substance having dielectric constant « = 4
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Transcribed Image Text:(a) A solid cylindrical conductor of radius a and charge Q is coaxial with a
cylindrical shell of negligible thickness, radius b > a, and charge -Q (as
shown in the figure). The length of the cylindrical conductor is 1. Show that
the capacitance of this cylindrical capacitor is C= 2rE,
In(b/a)`
(b) A coaxial cable used in a transmission line has an inner radius of 0.10
mm and an outer radius of 0.50 mm. Calculate the capacitance for a 1-
meter long cable. Assume that the space between the conductors is filled
with substance having dielectric constant « = 4
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