Circulation in a plane A circle C in the plane x + y + z = 8 has a radius of 4 and center (2, 3, 3) . Evaluate ∮ C F ⋅ d r for F = 〈0, – z, 2 y 〉 where C has a counterclockwise orientation when viewed from above. Does the circulation depend on the radius of the circle? Does it depend on the location of the center of the circle?
Circulation in a plane A circle C in the plane x + y + z = 8 has a radius of 4 and center (2, 3, 3) . Evaluate ∮ C F ⋅ d r for F = 〈0, – z, 2 y 〉 where C has a counterclockwise orientation when viewed from above. Does the circulation depend on the radius of the circle? Does it depend on the location of the center of the circle?
Solution Summary: The author explains how the circulation depends on the radius of the circle and the location of its center.
Circulation in a plane A circle C in the plane x + y + z = 8 has a radius of 4 and center (2, 3, 3). Evaluate
∮
C
F
⋅
d
r
for F = 〈0, –z, 2y〉 where C has a counterclockwise orientation when viewed from above. Does the circulation depend on the radius of the circle? Does it depend on the location of the center of the circle?
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