2. An isolated cylindrical capacitor consists of two concentric conducting cylin

Question

2. An isolated cylindrical capacitor consists of two concentric conducting cylinders of length L. The innder cylinder has a radius Ra and the outer cylinder has a radius Rb. The indder conductor has a charge +Q and the outer conductor has a charge -Q.

a) Determine the electric field between the two conductors.

b) Dtermine the electric potential difference between the two conductors.

c) Determind the capacitance of the device

d) A dielectric material with constant k is introduced, filling the region from Rc to Rb. Where Rc is less than Rb. What will be the final potential difference between the two conductors?

Explanation / Answer

a. EF between two conductors = q/(2pieoLRa)

b. potential between teo conductors is V = q/(2pieoL) ln (Rb/Ra)

c. capacitance C = (2pieo )(L/ln(Rb/Ra)

d. V = (1/1+k)q/(2pieoL) ln (Rb/Ra)

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