if a wire having uniform area is stretched 2 times than its original length then how will its resistance change?
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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 length/area)x4
i.e, New resistance = Resistance x 4
When area is increased by 2 times, the resistance multiplies by four times.
Hope you understood. Keep exploring.
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