Electrostatics : An air-filled coaxial cable

Problem statement

Consider an air-filled cable, where the inner conductor is supported periodically so that it is essentially surrounded be air.

Objective : to find the capacitance C of the cable.
Principles : Gauss' law.

Method of analysis :	1) define the potential difference V between conductors,
			2) define the charge per unit length [rho] on the inner conductor.

Sketch :

Maths :

Matlab(R) solution

Solution variables

Input variables

Charge per unit length, q (Coulombs/metre) Radius of outer conductor, b (metres) Radius of inner conductor, a (metres) Radius from centre, r (metres)

Output variables

Electric field strength, E Potential difference between the conductors, V Capacitance per unit length, C

View matlab source for this problem
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