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Conservative Fields, Line Integrals, Closed Loops, Potential Functions - Calculus 3
4 months ago
51
Health & Science
Education
calculus 3
vector calculus
calculus
conservative vector fields
conservative force fields calculus
line integrals
conservative vector field
conservative
irrotational vector fields vector calculus
This video explains conservative vector fields (e.g. gravitational and electric), including path independence and work, line integrals over closed loops and fundamental theorem, gradient of and finding potential functions, testing for conservative fields using the component test, exact differentials for evaluating work and flow integrals, and worked example practice problems.
0:00 Conservative fields
3:38 Line integrals in conservative fields
9:49 Line integrals over closed loops
11:31 Testing for conservative fields and finding potentials
16:45 Exact differentials
20:14 Worked examples
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