if the length and area of cross section of a copper wire is changed guess the changes in the specific Resistance of copper wire
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Answer:
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
So when the wire is stretched, the resistance multiplies by four times.
Hope you understood. Keep exploring.
Edit: Why does area gets halved when length is doubled?
Volume of the wire remains constant before and after the stretching.
Volume = Cross sectional area x length
Explanation:
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