Step 1: Total flux through cylinder using Gauss Law By Gauss Law, total flux through the cylinder is given by: ϕtotal =ε0q…(1) Step 2: Flux through plane surface A As surfaces A&C is symmetrical so ϕA=ϕC ϕtotal =ϕA+ϕB+ϕC=εoq[Using Equation (1)] Given Flux through curved surface ϕB=ϕ So, 2ϕA+ϕ=ε0q⇒ϕA=21(ε0q−ϕ)