IIT JEE , AIEEE Forum - Physics , Electricity

rahulraj1

Calculate the electrostatic potential at the center of the solid sphere of radius R?

allamraju

I think the ans is kQ/R.

rahulraj1

A solid sphere of radius R is charged uniformly.Calculate the electrostatic potential V as a function of distance r from the center of the sphere?

Answer isV=k.Q/2R³(3R²-r²)

feynmann

For, an offbit method !

Electrostatic potential satisfies Poisson's eqn $\nabla^2\phi =-\rho/\epsilon$

For spherical symmetry we have $\nabla^2 \phi =1/r^2d/dr ( r^2 d\phi/dr)$

solve this differential eqn subjecting to condition $\phi=1/4\pi\epsilon(Q/R)$ and E = - $d\phi/dr = 1/4\pi\epsilon ( 1/R^2 )$

at r= R ( Q is the total charge enclosed )

Got it ?

rahulraj1

Sir , please explain in details.I am unable to understand.