A capacitor is made of two concentric spherical shells A and B of radii a and b respectively. Where `a lt b`. The external shell B is grounded `(V_(B) = 0)` Inner shel i.e `(r le a )` is filled with a uniform positive charge of density `rho`. Variation of electric field versus distance from the centre.

Options

A.
B.
C.
D.

Answer

B

Explanation

`V_(B) = 0 :. (K_(Q))/(b) + (K_(Q))/(b) = 0` or `Q = -Q`
Where Q is total charge inside A and `Q^(1)` is charge on shell B therefore field outside B will be zero and electric field inside A will be `E = (KQ)/(a^(3))r` (linearly increase ) between spherical shell A and B `E = KQ//r^(2)`