Divergence and electrostatistcis
3 important questions on Divergence and electrostatistcis
What is the flux? And how does it relate to gaus law?
The flux is a measure of the number of fied lines passing through a surface S. Da is the area perpebdicular to E. If the point charge si outside of the origin than there will be no flux.
So when do you use gaus law?
When symmetry permits it !gaus law is always true but it is not always useful. If rho is not unifrom, or w ehad chosen anoyher shape the flux would still be true but E woud have ponted iffernetly, not in the same direction as da. Magnitude would not have been oconstant. There are three kinds fof symmetry, cylidndrical pheriecal and plane esymmetry. With the cylindrical and a plane symmetry actaully infinetley long planes and cylinders required.. The pillbox is always with an aea of the ldi.
Why is the curl of E zero?
When you take a sphere we know that ra=rb . The integral around a closed path is zero. And the na pplying stokes theorem
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