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  4. A charged hollow sphere does not produce an electric field at any

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Q. A charged hollow sphere does not produce an electric field at any

AIIMSAIIMS 1997Electric Charges and Fields

Solution:

Let us consider a charged hollow sphere with charge q. The charge q is on the surface of the sphere. We have to calculate the electric field at an interior point P distance r from the centre. If we imagine a Gaussian spherical surface through the point P and concentric with the given shell, we can use the Gauss theorem,
$ E \times 4 \pi \,r^{2}=\frac{q'}{E_{0}}$ where q' is the charge enclosed by this Gaussian surface = 0
$\therefore E=0$
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