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Question

The electrostatic potential (ϕr, of a spherical symmetric system kept at origin as shown in the figure is given as ϕr=q4πε0r(rR0)
ϕr=q4πε0R0(rR0)
Which of the following option(s) is/are correct?
196002_a180cd8fbfbe408b9bf34a2355d3f1f7.png

A
For spherical region rR0 total electrostatic energy stored is zero
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B
Within r=2R0 total charge is q
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C
There will be no charge anywhere except at r=R0
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D
Electric field is discontinuous at r=R0
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Solution

The correct options are
A For spherical region rR0 total electrostatic energy stored is zero
B Within r=2R0 total charge is q
C There will be no charge anywhere except at r=R0
D Electric field is discontinuous at r=R0
The given system is a uniformly charged Spherical Shell of radius R0 with charge q.

Option A: Correct
No charge inside the Shell, hence Electrostatic energy stored inside is Zero.

Option B: Correct
Shell comes Inside r=2R0

Option C: Correct
Spherical Shell Property. Charge only on surface.

Option D: Correct
Field inside shell is Zero whereas field outside the shell is non-zero.

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