A hemispherical body is placed in a uniform electric field E. What is the flux linked with curved surface, if field is perpendicular to base in figure.

Let us consider that the given hemispherical body as a closed surface (whose flux is ϕ2 ) In this case, the electric flux linked with the body is zero since the body does not enclose any charges:ϕ=ϕ1+ϕ2=0⇒ϕ1=−ϕ2………………(1)Since the field acts perpendicular to the base, the flux linked with the base is given byϕ2=E×πR2cos⁡180∘=−πR2ETherefore, the flux linked with the curved surface is⇒ϕ1=−ϕ2=−−πR2E=πR2E