Question

A wire is replaced by another wire of same length and material but of double the diameter. What will be the effect on the increase in its length under a given load?

Answer 1

Answer:

Suppose Resistance of A as Ra and resistance of B as Rb.

Ra=Rb

PaLa/Aa = PbLb/Ab

Pa= Rho for conductor a; Pb= Rho for Conductor B

Aa= Area of A; Ab= Area of B

La= Length of A; Lb= length of B.

Where length of both are same, La=Lb

Pa/Aa = Pb/Ab

or

Pa/Pb = Aa/Ab

Condition that Pa>Pb means Pa/Pb is greater than 1.

Pa/Pb=Aa/Ab >1

Aa/Ab >1

Or

Aa > Ab

The A conductor is thicker than B.

Answer 2

Answer:

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