Question

How Is the Resistance Of Wire Affected If It's
1- Length Is Doubled
2- Radius Is Doubled

Answer 1

As a wire gets longer its resistance increases, and as it gets thinner its resistance also increases because its cross sectional area decreases. Doubling the length will double the resistance, but the wire also must get thinner as it is stretched, because it will contain the same amount of metal in twice the length.

by doubling it length

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Answer 2

we know that resistance of wire,

R= wL/A
where, w= resistivity of eire
L= length of wire
A= area of cross section of wire
also, A= πr^2

so, resistance, R = wL/(πr^2)

so, in case (1), if length doubled,then resistance will also become double.



in case (2), if radius double, then resistance will become 1/4th of initial.

thats all