Problem:
Two charges of magnitudes −2Q and +Q are located at points (a,0) and (4a,0) respectively. What is the electric flux due to these charges through a sphere of radius '3a' with its center at the origin?
Solution:
Using Gauss's law, Flux(ϕ)=q/ϵ0, Where q is the total charge inside the surface and ϵ0 is the permittivity of free space.
So, Flux(ϕ)=−2Q/ϵ0
Doubt:
How can we find the solution for the same question using the formula:
Φ=E⋅S=EScosθ ,
Where E is the magnitude of the electric field, S is the area of the surface, and θ is the angle between the electric field lines and the normal (perpendicular) to S. *We request for a step-by-step solution*