A coaxial capacitor consists of two concentric, conducting, cylindrical surfaces, one of radius a and another of

Question:

A coaxial capacitor consists of two concentric, conducting, cylindrical surfaces, one of radius a and another of radius b, as shown in the figure. The insulating layer separating the two conducting surfaces is divided equally into two semi-cylindrical sections, one filled with dielectric 1 and the other filled with dielectric 2.

E +

(a) Develop an expression for C in terms of the length l and the given quantities.
(b) Evaluate the value of C for a =2 mm, b = 6 mm, r1 = 2, r2 = 4, and l =4 cm.