A hollow aluminum cylinder is 2.50 m long and has an inner radius of 2.75 cm and

Question

A hollow aluminum cylinder is 2.50 m long and has an inner radius of 2.75 cm and an outer radius of 4.60 cm . Treat each surface (inner, outer, and the two end faces) as an equipotential surface.

Part A

At room temperature, what will an ohmmeter read if it is connected between the opposite faces?

Express your answer with the appropriate units.

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Part B

At room temperature, what will an ohmmeter read if it is connected between the inner and outer surfaces?

Express your answer with the appropriate units.

A hollow aluminum cylinder is 2.50 m long and has an inner radius of 2.75 cm and an outer radius of 4.60 cm . Treat each surface (inner, outer, and the two end faces) as an equipotential surface.

Part A

At room temperature, what will an ohmmeter read if it is connected between the opposite faces?

Express your answer with the appropriate units.

SubmitMy AnswersGive Up

Incorrect; Try Again; 3 attempts remaining

Part B

At room temperature, what will an ohmmeter read if it is connected between the inner and outer surfaces?

Express your answer with the appropriate units.

R = R =

Explanation / Answer

a) R = rho*l/A

R = rho*l/pi(b^2-a^2) = 2.65*10^-8*2.5/3.14(4.6^2-2.75^2)*10^-4

R = 1.55*10^-5 ohm

b) dR = rho*dr/2pirl

integrating from a to b

R = (rho/2pil)ln(a/b) = 8.68*10^-10 ohm

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