A piece of wire of resistance 20 Ω is drawn out so that its length is increased to twice its original length. Calculate the resistance of the wire in the new situation.
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When length of wire is doubled i.e. 2l
Also it's area of cross section becomes half i.e 2A
Resistance R=
ρl/A=20Ω
New Resistance ,
R′ = ρl′/A'
= ρ(2l)×2/A
=4ρl/A
=4(ρl)/A
=4×20
=80Ω
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