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 2.42 10-3 m, and that of the outer shell is 2.55 10-3 m. When the cylinders carry equal and opposite charges of magnitude 1.85 10-10 C, the electric field between the plates has an average magnitude of 4.30 104 V/m and is directed radially outward from the inner shell to the outer shell. (a)

Determine the magnitude of the potential difference between the cylindrical shells.

V = ?

(b) Determine the capacitance of this capacitor.

F =?

Explanation / Answer

a)

Potential difference

V=E*d =E*(r2-r1)=(4.3*104)*(0.00255-0.00242)

V=5.59 Volts

b)

Capacitacne

C=Q/V =(1.85*10-10)/5.59

C=3.31*10-11 F or 33.1 pF

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