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Question: Equal amounts of a metal are converted into cylindrical wires of different length L and cross-sectio...

Equal amounts of a metal are converted into cylindrical wires of different length L and cross-sectional area A. The wire with the maximum resistance is the one, which has –

A

Length = L and area = A

B

Length = L2\frac{L}{2} and area = 2A

C

Length = 2L and area = A2\frac{A}{2}

D

All have the same resistance, as the amount of the metal is the same

Answer

Length = 2L and area = A2\frac{A}{2}

Explanation

Solution

Use R = ρlA\frac{\rho\mathcal{l}}{A}