Gauss Þ Coulomb
We now illustrate this for the field of the point charge and prove that Gauss’ Law implies Coulomb’s Law.
- Symmetry Þ E field of point charge is radial and spherically symmetric
- Draw a sphere of radius R centered on the charge.
- Why?
E normal to every point on surface
E has same value at every point on surface
Þ can take E outside of the integral!