prove the sufficiency, let L be any closed contour in region R occupied by field A,...

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:)

Expert Solution

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

genius_generous answered 2 years ago

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