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Electricity and Magnetism

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Moderate

Capacitance of Closely-Spaced Nested Cylinders

EANDM-NWG7F8

Two metal cylinders of different radii are placed concentrically one inside the other. Each cylinder has a length $H = 2 \:\text {cm}$. The radius of the inner metal cylinder is $r_1=3.00 \:\text {cm}$ and the radius of the outer metal cylinder is $r_2 = 3.03 \:\text {cm}$. The space between the cylinders is filled with air.

Estimate the capacitance of the the nested metal cylinders. [Hint: Use the parallel plate capacitance formula.]

A

$111 \:\text {pF}$

B

$1.11 \:\text {pF}$

C

$0.53\:\text {pF}$

D

$222 \:\text {pF}$

E

$17.1 \:\text {pF}$