Question

Conisder a thin spherical shell of radius R with centre at the origin, carrying uniform poistive surface charge denisty. The variation of the magnitude of the electric field `|vecE(r)|` and the electric potential V(r) with the distance r from the centre, is best represented by which graph?
A. (a)
B. (b)
C. (c)
D. (d)

Answer 1

Correct Answer - D
For a thin uniformly poistive charged spherical shell
(i) Inisde the shell at any point
`E=O` and `V=(1)/(4piin_0)=(q)/(R)=const t.`
where q=charge on sphere
R=Radius of sphere
(ii) Outisde the shell at any point at any distance r
from the centre `Eprop(1)/(r^2)` and `Vprop(1)/(r)`