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Consider a uniformly charged spherical shell. Two cones having same semi vertical angle, and their common apex at P, intercept the shell. The intercepts have area DeltaS1 and DeltaS2. For a cone of very small angle, DeltaS1 and DeltaS2 will be very small and charge on them can be regarded as point charge for the purpose of writing electric field at point P. Prove that the charge on DeltaS1 and DeltaS2 produce equal and opposite field at P. Hence, argue that field at all points inside the uniformly charged spherical shell is zero. |
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