A hemispherica body of radius R is placed in a uniform electric field E. What is the flux linked with the curved surface, if the field is
(i) parallel to the base
(ii) perpendicular to the base

Explanation

a. Number of field lines coming to the curved
surface is equal to the field lines moving away
from the surface. Hence, the flux linked with
curved surface is zero.
b. Flux passing through the plane surface = the flux
passing through the curved surface.
`phi = EpiR^2`
(positive as field lines are away from the surface)
c. `phi = E2piR^2`.