A capacitor is constructed of two concentric conducting cylindrical shells. The

Question

A capacitor is constructed of two concentric conducting cylindrical shells. The radius of the inner cylindrical shell is 2.35 times 10-3 m, and that of the outer shell is 2.51 times 10-3 m. When the cylinders carry equal and opposite charges of magnitude 1.78 10-10 C, the electric field between the plates has an average magnitude of 4.10 times 104 V/m and is directed radially outward from the inner shell to the outer shell. Determine the magnitude of the potential difference between the cylindrical shells. Determine the capacitance of this capacitor.

Explanation / Answer

a) V = E*d = E*(b-a) = 4.1*10^4(2.51*10^3-2.35*10^-3) = 6.56 V

b) C = q/V = 1.78*10^-10/6.56 = 2.7e-11 F

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