Worked examples

Vector fields and Green’s theorem

One sheet for each type of problem, with several worked examples of increasing difficulty: first the computation, then the explanation in words. Each sheet starts with links to the theory it uses.

• 1Recognizing conservative fields and constructing the potential
• 2Work of conservative fields computed with the potential
• 3Work of non-conservative fields by direct computation
• 4Irrotational fields on domains that are not simply connected
• 5Circulations with Green's theorem
• 6Areas with Green's formula
• 7Potentials and work of fields in space