Question

A wire of resistance R is cut into two equal part. There parts are then connected in parallel. The equivalent resistance of the combination will be

Options

• `nR`

• `R/n`

• `n/R`

• `R/n^2`

Answer 1

`R/n^2`

Explanation:

Resistance of each of the wire's equal parts = `R/n` (r = say). As a result, the effective resistance of n parallel wires = `r/n`.

= `(R/n)/n = R/n^2`