Consider two concentric spherical metal shells of radii `r_(1)` and `r_(2) (r_(2) gt r_(1))`. If the outer shell has a charge q and the inner one is grounded, then the charge on the inner shell is

Options

A. `(-r_(2))/(r_(1))q`
B. zero
C. `(-r_(1))/(r_(2))q`
D. `-q`

Answer

c

Explanation

Since the inner shell is grounded , therefore , its potential zero .Let q. be charge on the inner shell . Then
`V_("inner")=(1)/(4piepsilon_(0))((q.)/(r_(1))+(q)/r^(2))=0`
or `(q)/(r_(1))+(q)/(r_(2))=0 or q.=-(r_(1))/(r_(2))q`