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Two thin rings each of radius R are plac...

Two thin rings each of radius R are placed at a distance 'd' apart. The charges on the rings are +q and -q. The potential difference between their centres will be -

A

`(qR)/(4pi epsilon_(0)d^(2))`

B

`(q)/(2pi epsilon_(0) ) [(1)/(R )-(1)/(sqrt(R^(2)+d^(2)))]`

C

zero

D

`(q)/(4pi epsilon_(0) ) [(1)/(R )-(1)/(sqrt(R^(2)+d^(2)))]`

Text Solution

Verified by Experts

The correct Answer is:
B

`{:(V_(A)=(kq)/(R )-(kq)/(sqrt(R^(2)+d^(2)))),(ul(underset(-)(V_(B))=underset(+)((-kq)/(R ))+underset(-)((kq)/(sqrt(R^(2)+d^(2)))))):}`
`:.V_(A)-V_(B)=(2kq)/(R )-(2kq)/(sqrt(R^(2)+d^(2)))`
`:.V_(A)-V_(B)=(q)/(2pi epsilon_(0)) [(1)/(R )-(1)/(sqrt(R^(2)+d^(2)))]`
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