A copper wire has resistance ‘R’. If the length of the wire is doubled, construct a graph showing the variation of resistivity with length?
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A wire of length L and resistance R is stretched so that the length is doubled and area of cross section halved. How will (i) resistance change and (ii) resistivity change.
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⇒ Length (l) is doubled & Area of cross section (A) is halved.
l becomes 2l & A becomes
2
A
R=P
A
L
now take l=2l,A=
2
A
R=
A/2
P2l
=4P
A
L
⇒4R
Resistance becomes 4 times
1) Resistivity does not depend on its length 02 Area.
Hence, it does not change.
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