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Question

Physics Question on electrostatic potential and capacitance

Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason R
Assertion(A): Electric field is discontinuous across the surface of a spherical charged shell
Reason (R): Electric potential is continuous across the surface of a spherical charged shell
In the light of the above statements, choose the correct answer from the options given below

A

If both assertion and reason are true and reason is the correct explanation of assertion

B

If both assertion and reason are true but reason is not the correct explanation of assertion

C

If assertion is true but reason is false

D

If both assertion and reason are false

Answer

If both assertion and reason are true but reason is not the correct explanation of assertion

Explanation

Solution

Electric field is zero inside the spherical charged shell and it is σε0π\frac{\sigma}{\varepsilon_{0}} \pi outside.
So it is discontinuous across the surface. Electric potential is continuous across the surface.
As, V=14π0qr,rRV=\frac{1}{4\pi \, \in_{0}} \frac{q}{r}, r \, \le\,R