Question

a neutral conducting spherical shell is kept near a charge q. the potential at point P due to the induced charges is?​

Answer 1

Answer:

Let potential due to induced charged=Vin

As the field is zero inside the conductor, potential will be constant and same as point on the surface.​

Vp=ka /r'+ V in= Vc =kq /r ×VIn=kq/r−kq/r'

Answer 2

Answer:

Let potential due to induced charged=$V_{in}$

Potential at P,$V_{P}$ = $\frac{kq}{r'}$ + $V_{in}$

​Potential at C,$V_{c}$ = $\frac{kq}{r}$

As the field is zero inside the conductor, potential will be constant and same as point on the surface.

so, $V_{P} = V_{C}$

$\frac{kq}{r'}$ + $V_{in}$ = $\frac{kq}{r}$

∴ $V_{in}$ = $\frac{kq}{r}$ - $\frac{kq}{r'}$

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