A cylindrical metal rod has a resistance R . If both its length and its diameter are tripled, its new resistance will be:

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13-07-2022
Physics

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A cylindrical metal rod has a resistance R . If both its length and its diameter are tripled, its new resistance will be:

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barmansuraj489 barmansuraj489 · Answer 1 · 2022-07-20T18:12:34+02:00

The new resistance will be 9R

A longer wire should have a higher electrical resistance than a wire with a bigger cross section, and vice versa. The electrical resistance of a wire should also be affected by the material from which it is formed.

The resistance of a wire is R = ρL/A. The volume of a wire is LA. If L increases by 3, then A must decrease by 3 in order for the volume to remain constant. If L increases by 3 and A decreases by 3, then L/A increases by 9 .

Hence the new resistance will be 9R

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