If a charge -150 text nC is given to a concentric spherical shell and a charge + text 50 text nC is placed at its centre, then the charge on inner and outer surface of the shell is

Question

If a charge -150 text nC is given to a concentric spherical shell and a charge + text 50 text nC is placed at its centre, then the charge on inner and outer surface of the shell is (A)  50 nC,100 nC  (B)  ~- text 50 nC,- text 100 nC  (C)  ~50 text nC, text 200 text nC  (D)  ~- text 50 nC,-200 text nC

Tardigrade Admin · Accepted Answer

The charge + 50 nC at the centre induces

- 50 n C

on inner surface and

+ 50 n C

on outer surface of the spherical sheet.
So, charge on the inner surface

= - 50 n C

and charge on the outer surface

= - 150 n C + 50 n C

= - 100 n C

Q. If a charge $- 150 n C$ is given to a concentric spherical shell and a charge $+ 50 n C$ is placed at its centre, then the charge on inner and outer surface of the shell is

$50 n C, 100 n C$

$- 50 n C, - 100 n C$

$50 n C, 200 n C$

$- 50 n C, - 200 n C$

The charge + 50 nC at the centre induces
$- 50 n C$
on inner surface and
$+ 50 n C$ on outer surface of the spherical sheet.
So, charge on the inner surface
$= - 50 n C$
and charge on the outer surface
$= - 150 n C + 50 n C$
$= - 100 n C$

Q. If a charge −150nC is given to a concentric spherical shell and a charge +50nC is placed at its centre, then the charge on inner and outer surface of the shell is

50nC,100nC

−50nC,−100nC

50nC,200nC

−50nC,−200nC