A uniform wire of length I and having resistance R is cut into n equal parts and all parts are connected in parallel, then the equivalent resistance will be :

R

R/n

R/n²

n²R

Solution

R/n²

Two or more resistors are said to be parallel if one end of all the resistors are joined together and simillarly the other ends are joined together.

Resistance of each part R' = R/n

When these parts are connected in parallel.

Then,

$\frac{1}{R''} = \frac{1}{R'} + \frac{1}{R'} + . . . . . n time = \frac{n}{R'} ∴ R'' = \frac{R'}{n} = \frac{R}{n^{2}}$

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