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A wire of resistance r is cut into m equ...

A wire of resistance r is cut into m equal parts. These parts are then connected in parallel . The equivalent resistance of the combination will be

A

nR

B

`R/n`

C

`n/R^2`

D

`R/n^2`

Text Solution

Verified by Experts

The correct Answer is:
D
Resistance of each segment = `R/n`
n such segments are In parallel
Resistance = `R_"eff"`
`1/R_"eff"=1/(R//n)+1/(R//n)..."to n terms."
`1/R_"eff"=n/R+n/R+...=n^2/R`
`R_"eff"=R//n^2=R/n^2`
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