a hollow sphere having uniform charge density p(charge per unit volume) Find the potential difference between A and B (A - Physics - Electrostatic Potential And Capacitance

Question

a hollow sphere having uniform charge density p(charge per unit
volume) Find the potential difference between A and B (A is at
inside surface, B is at outer surface)outer radius is b and inner
radius is a

Ved Prakash Lakhera · Accepted Answer

The potential due to acharged spherical shell v=14πε0 qr,where q is the charge , ε0 thepermittivity of the free space and r the radius of the spherical shell
We are given a hollow sphere of inner radius a and outer radius b, also given space charge density ρ
The charge on the hollow sphere q= ρ 4πb3-a33
The potential on the inner surface VA=14πε0×ρ4πb3-a33×1a
Similarly potential on the outer surface VB=14πε0×ρ4πb3-a33×1b
The potential difference between A and B=VB-VA=14πε0×4πb3-a33×1b-1a
Therefore VB-VA =ρ3ε0×b3-a31b-1a

a hollow sphere having uniform charge density p(charge per unit volume).Find the potential difference between A and B (A is at inside surface, B is at outer surface)outer radius is b and inner radius is a