A piece of wire of resistance R is drawn out so that its length is increased to twice its original length. Calculate the resistance r of the wire in the new Situation.
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Answer:
The new resistance will be twice or 2R
Explanation:
We know that
R = ρL/A where R is the resistance
L is the length
ρ is the resistivity
A is the area of cross-section
Hence,
R ∝ L
Given that, the length becomes twice
If R' represents new resistance then,
R ∝ L
R' ∝ 2L
Therefore,
R/R' = L/2L
R/R' = 1/2
2R = R'
Therefore the resistance becomes twice or 2R
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