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प्रश्न
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.
संख्यात्मक
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उत्तर
We know that,
R = `rho l/A`
l' = 2l
A' = `A/2`
ρ' = ρ
∴ R' = `rho' (l')/(A')`
R' = `rho (2 l)/(A/2)`
R' = `4 rho (l/A)`
R' = 4 R
R' = 4 × 20
R' = 80 Ω ...[R = 20 Ω]
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