# Line of infinite charge and a gaussian sphere

1. Oct 8, 2004

### stunner5000pt

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?

2. Oct 8, 2004

### Galileo

Yes, but that's probably the reason they're asking you to do it. It shows the power of symmetry in applying Gauss' Law.

3. Oct 8, 2004

### Gokul43201

Staff Emeritus
It's not hard. You know what E(r) is. Take a point at polar angle \theta and find E(r).n in terms of \theta. Integrate over the sphere.