Consider the coaxial line of arbitrary cross section shown in Figure (a). Using the moment method to find the capacitance C per length involves dividing each conductor into N strips so that the potential on the strip is given by

Where

And V_j?= ? 1 or 1 depending on whether ??_i lies on the inner or outer conductor respectively. Write a Matlab program to determine the total charge per length on a coaxial cable of elliptical cylindrical cross section shown in Figure (b) using

And the capacitance per unit length using C = Q/2.

(a) As a way of checking your program, take A = B = 2?cm and a?= b?= 1 cm (coaxial line with circular cross section), and compare your result with the exact value of C?= 2??/ ln(A/a).

(b) Take A = 2 cm, B = 4 cm, a = 1 cm, and b = 2 cm.

Where v = alb, d? = r d?. Take ro = 1 cm.)

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