Two conductors are made of the same material and have the same length L . Conduc

Question

Two conductors are made of the same material and have the same length L. Conductor A is a hollow tube with inside diameter 1.69 mm and outside diameter 2.93 mm; conductor B is a solid wire with radius RB. What value of RB is required for the two conductors to have the same resistance measured between their ends?

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Two conductors are made of the same material and have the same length L. Conductor A is a hollow tube with inside diameter 1.69 mm and outside diameter 2.93 mm; conductor B is a solid wire with radius RB. What value of RB is required for the two conductors to have the same resistance measured between their ends?

Explanation / Answer

We know R = ? A / L . In our case, ? and L are same. Hence for resistances of both wires to be equal, Aa should be equal to Ab. => p(ro^2 - ri^2) = p(rb^2). => (2.53/2)^2 - (1.23/2)^2 = rb^2 => rb = 1.1054mm

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