The electrostatic potential (ϕr, of a spherical symmetric system kept at origin as shown in the figure is given as ϕr=q4πε0r(r≥R0) ϕr=q4πε0R0(r≤R0) Which of the following option(s) is/are correct?
A
For spherical region r≤R0 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 r≤R0 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.