Question

A wire is stretched to triple its length .What will be its resistance than?Calculate.

Answer 1

The new resistance becomes 3 times of the initial resistance.

Explanation:

The resistance of wire in terms of length and area of cross section is given by :

$R=\rho \dfrac{l}{A}$

l is the length of wire

A is the area of cross section

If the wire is stretched triple its length, l' = 3l

New resistance becomes :

$R'=\rho\dfrac{l'}{A}$

$R'=\rho\dfrac{(3l)}{A}$

$R'=3\times \rho\dfrac{(l)}{A}$

$R'=3\times R$

So, the new resistance becomes 3 times of the initial resistance. Hence, this is the required solution.

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