Question

How the volume of a resistance of conductor be change if its length is increased two time of its previous length ?

Answer 1

length of the conductor is directly proportional to the resistance so if the length is doubled the resistance will also increase

Answer 2

Thanks for requesting.

We have

Resistance= Resistivity x length/area

When the wire is stretched to double the length , the area of cross section gets reduced to half.

So

New Resistance = Resistivity x 2length/area/2

I.e,

New resistance = (Resistivity x area/length)x4

i.e, New resistance = Resistance×4

So when the wire is stretched, the resistance multiplies by four times.

Hope you understood. Keep exploring.

Edit: To understand why area gets halved when length is doubled




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