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There are two nonconducting spheres havi...

There are two nonconducting spheres having uniform volume charge densities `rho` and `- rho` . Both spheres have equal radius `R`. The spheres are now laid down such that they overlap as shown in Fig.2.125. Take `vec(d) = O_(1) vec(O_(2))`.

The potential difference `Delta V` between the centres of the two spheres for `d = R` is

A

`(rho)/(3in_(0))d^(2)`

B

`(rho)/(in_(0))d^(2)`

C

zero

D

`(2ho)/(in_(0))d^(2)`

Text Solution

Verified by Experts

`int_(v_(1))^(v_(2))V=-int_(0)^(d)(rhod)/(3epsilon_(0))dx,V_(2)-V_(1)=-(rhod^(2))/(3epsilon_(0)),|triangleV|=(rhod^(2))/(3epsilon_(0))`
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