Construct a spherical gaussian surface centered on an infinite line of charge. Calculate the flux through the sphere and thereby show that it satisfies gauss law.
I know how i can do it for a cylinder, but a sphere?
I know that the ends of the wire (one diameter) wil have zero flux at it's ends
but wouldnt i have to integrate over a big hemispherical surface and then multiply by two but ..... wouldnt it be tedious?