Electric Flux through a Closed Hemisphere Question

[ehabmozart]

Homework Statement

An infinite line of charge is along the entire x-axis has a constant value for λ. A hemisphere is centered at the origin and has a base circle of radius a. What is the electric flux through the hemisphere

Homework Equations

Flux = Q enclosed / ε

The Attempt at a Solution

Q enclosed must be λ* (2a) .. Thus, the answer should be 2λa/ε. Is this right or should we half it.. I mean would this be the same answer if the hemisphere was a full sphere. Thanks for helping!

 

[Doc Al]

What's the orientation of the hemisphere? Is it just a hemisphere or is it a closed surface? (Gauss's law requires a closed surface.)

 

[ehabmozart]

It is a closed hemisphere!..

 

[Doc Al]

It is a closed hemisphere!..

Good. What is its orientation? Is its axis of symmetry parallel to the x-axis?