two wires a and b have equal lengths and are made of same material. If the diameter of wire A is twice that of wire B, which has the greater extension for a given load?

Question

Isla Benitez

Physics

3 April, 04:16

two wires a and b have equal lengths and are made of same material. If the diameter of wire A is twice that of wire B, which has the greater extension for a given load?

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Salvador Rivera · Answer 1

Since both the wire are of same material.

Therefore, R is directly proportional to length and inversely proportional to area of the wire.

Now, Since the wire B has half the diameter of A, its area will be 1/4th of A.

Hence the ratio of resistance R will be 2:1