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If the Length of a Wire is Doubled by Taking More of Wire, What Happens to Its Resistance? - CBSE Class 10 - Science

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Question

If the length of a wire is doubled by taking more of wire, what happens to its resistance?

Solution

We know that the resistance of the wire, R = ρl A where the resistivity of the wire is ρ.
The length of the wire = l
The area of cross-section of the wire, A = πr2
So when the length of the wire is doubled (l' = 2l) by taking more of the same wire, (it will keep the resistivity and the area of cross-section the same), the length is doubled.
New resistance = R'
R' = ρlA
R' = 2ρl A
R' = 2R
  Is there an error in this question or solution?
Solution If the Length of a Wire is Doubled by Taking More of Wire, What Happens to Its Resistance? Concept: Resistance of a System of Resistors - Resistors in Series.
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