A coaxial cable consists of a metal wire of radius a, and is surrounded by a thin concentric metal tube of inner radius c. The space between the central wire and the tube is partially filled (b < p < c) with an insulator of permittivity 3€0. The region a < p < b has a permittivity of 2€,. Find an expression that allows you to calculate the capacitance per unit length of this cable. [a

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A coaxial cable consists of a metal wire of radius a, and is surrounded by a thin concentric metal tube of inner radius
c. The space between the central wire and the tube is partially filled (b < p < c) with an insulator of permittivity 3€,.
The region a <p<b has a permittivity of 2€o.
Find an expression that allows you to calculate the capacitance per unit length of this cable. [a < b< c]
а.
b. If a = 1 mm, b = 1.6 mm and c = 2.5 mm, compute the capacitance for a cable of length 8 m.
Transcribed Image Text:A coaxial cable consists of a metal wire of radius a, and is surrounded by a thin concentric metal tube of inner radius c. The space between the central wire and the tube is partially filled (b < p < c) with an insulator of permittivity 3€,. The region a <p<b has a permittivity of 2€o. Find an expression that allows you to calculate the capacitance per unit length of this cable. [a < b< c] а. b. If a = 1 mm, b = 1.6 mm and c = 2.5 mm, compute the capacitance for a cable of length 8 m.
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