A cylindrical capacitor has an inner conductor of radius 2.2 mm and an outer con

Question

A cylindrical capacitor has an inner conductor of radius 2.2 mm and an outer conductor of radius3.3 mm . The two conductors are separated by vacuum, and the entire capacitor is 2.6 m long.

Part B

The potential of the inner conductor relative to that of the outer conductor is 400 mV . Find the charge (magnitude and sign) on the inner conductor.

Express your answer with the appropriate units.

Part C

The potential of the inner conductor relative to that of the outer conductor is 400 mV . Find the charge (magnitude and sign) on the otter conductor.

Express your answer with the appropriate units.

Explanation / Answer

The capacitance of a cylindrical capacitor is:

C = 2 pi k epsilon0 L / [ln(b/a)]

C = 2 x 3.14 x 1 x 8.85 x 10^-12 x 2.6/[ln(3.3/2.2)] = 3.56 x 10^-10 F

Per unit length capacitance is: 1.37 x 10^-10

B)Q = CV

Q = 1.37 x 10^-10 x 340 x 10^-3 = 4.66 x 10^-11

Hence, Q = + 4.66 x 10^-11 C

C)Charge on outer is:

Q = - 4.66 x 10^-11 C

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