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The electric potential due to uniformly ...

The electric potential due to uniformly charged sphere of radius `R`,having volume charge density rho having a spherical cavity of radius `R/2` as shown as in figure at point `p` is

A

`(rho)/(3epsilon_(0))((R)/(2))`

B

`(rho)/(3epsilon_(0))(R)`

C

zero

D

None of these

Text Solution

Verified by Experts

Electric field at C due to whole sphere
`vecE_(1)=(rho)/(3epsilon_(0))(vecr_(c))`
Electric field at C due to only sphere of cavity
`vecE_(2)=(rho)/(3epsilon_(0))(0)=0`
Net field at `CvecE_(3)=vecE_(1)-vecE_(2)=(rho)/(3epsilon_(0))(vecr_(c))=(rho)/(3epsilon_(0))((R)/(2))`
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