Question

How does the electric field (E) vary with distance (r) in the following cases?

(i) Uniformly charged spherical shell

(ii) Uniformly charged solid sphere.

(iii) Uniformly charged plane sheet of large size.

Also, plot a graph between E and r in each case.

Answer 1

(i) Outside ∝\(\frac { 1 }{ { r }^{ 2 } }\), on surface = \(\frac { 1 }{ { r }^{ 2 } }\), inside = zero

(ii) On the surface = \(\frac { 1 }{ { r }^{ 2 } }\), inside ∝ r

(iii) Constant, E =\(\frac{\sigma}{2 \varepsilon_{0}}\), independent of r