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The electrostatic potential inside a cha...

The electrostatic potential inside a charged spherical ball is given by `phi = ar^(2) + b`, where r is distance from the center of the ball, a and b are constants. Calculate the charge density inside the ball.

Text Solution

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Here ,`phi=ar^(2)+b,As phi=ar^(2)+b`
`:.ointE.ds=(q)/(epsilon_(0)),-2ar.4pir^(2)=(q)/(epsilon_(0))rArr q=-89epsilon_(0)pir^(2)`
`p=(q)/((4)/(3)pir^(3)) ,rArr p=-6aepsilon_(0)`
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