Definition: | energy due to the position in a force field, equal to the opposite of the line integral along a curve C of a conservative force F, thus , where dr is vector line element NOTE 1 A force is conservative when the force field F(r) is static and irrotational, i.e. rot F = 0, in a simply connected domain. NOTE 2 Force F is the gradient of potential energy V, thus F = grad V. See also “potential” (113-03-19).
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