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A wire of resistance .R. is cut into .n....

A wire of resistance .R. is cut into .n. equal parts. These parts are then connected in parallel with each other. The equivalent resistance of the combination is :

A

nR

B

R/n

C

`n//R^2`

D

`R//n^2`

Text Solution

Verified by Experts

The correct Answer is:
d
The resistance R is directly proportional to the length of the wire.
When the wire is cut into n equal parts, then resistance of each part = `R/n`
When n wires are connected in parallel then equivalent resistance R. is given by
`1/(R.) =n/R+n/R+....+n` times
`1/(R.) =n^2/R`
`:. R. = R/(n^2)`
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