Question

What are the values of electric potential and intensity at (i) an external point, (ii) an internal point, due to a uniformly charged sphere ?​

Answer 1

if its uniformly charged shell

then electric field at external = kq/r^2

for internal its 0 as no charge is enclosed ,according to gaussian if no charge is enclosed then its 0

E= - dv/dr

E= 0 that Means potential constant

which is kq/R internally

External kq/r

for solid

Electric field = kq/r^2

potential outside = kq/r

Inside its different as charge is enclosed so work done to bring from infinity is different in inner enclosed

its kq ( 3R^2 -r^2)/2R^3.