In: Physics
prove the sufficiency, let L be any closed contour in region R occupied by field A, suppose curl A=0 everywhere in R. then, since R is simply connected. L is the boundary of some surface S lying entirely in R. By Stoke's theorem, integral of A =0. prove that A is a potential field. ( potential and irrotational fields). please in details thx:)
The vector potential field is defined as
A = grad p
where p is the scalar potential.
A must be conservative and irrational as curl A = 0