Week 9 Circulation, Curl, Stokes Theorem Flashcards
1
Q
define circulation
A
a line integral around a closed loop
2
Q
what must always be defined for circulation
A
direction of circulation
3
Q
what is Stokes’ theorem
A
circulation of a vector field can be related to the surface integral of the curl of the same field
4
Q
what is the Stokes theorem equation
A
∫ B * dl = ∫ (∇ x B) * dS
5
Q
what is the condition of the theorem
A
only valid if the field is continuous and differentiable at all points on the surface
6
Q
what are the clockwise and anticlockwise elemental surfaces for cartesian
A
anticlockwise - dS = +dxdyk^
clockwise - dS = -dxdyk^
