A nonconducting sphere with radius a is concentric with and surrounded by a conducting spherical shell with inner radius b and outer radius c. The inner sphere has a negative charge uniformly distributed throughout its volume, while the spherical shell has no net charge. The potential V (r) as a function of distance from the center is given by

Options

A.
B.
C.
D.

Answer

C

Explanation

for `rlea`
`V=(KQ(3a^(2)-r^(2)))/(2a^(3))+(K(-Q))/b+(KQ)/c`
`for alerleb`
`V=(KQ)/r+(K(-Q))/b+(KQ)/c`
`for ble rlec`
`V=(KQ)/r+(K(-Q))/b+(KQ)/c=(KQ)/c`
`for rlec`
`V=(KQ)/r+(k(-Q))/r+(kQ)/r=(kQ)/r`