Question

what is path integral of a force​

Answer 1

Explanation:

Line integrals: (also called path integrals) Ingredients: Field F = Mi + Nj = M,N Curve C: r(t) = x(t)i + y(t)j = x, y ⇒ dr = dx, dy . ... Work is force times distance, but only the component of the force in the direction of the displacement does any work. So, work = |F| cos θ |Δr| = F · Δr.

Answer 2

Line integrals: (also called path integrals) Ingredients: Field F = Mi + Nj = M,N Curve C: r(t) = x(t)i + y(t)j = x, y ⇒ dr = dx, dy . ... Work is force times distance, but only the component of the force in the direction of the displacement does any work. So, work = |F| cos θ |Δr| = F · Δr.