Show that the curl of is zero but that is not zero if C is the circle
Question:
Show that the curl of
is zero but that
is not zero if C is the circle x2 + y2 = 1 in the xy-plane. (Theorem 7 does not apply here because the domain of F is not simply connected. The field F is not defined along the z-axis so there is no way to contract C to a point without leaving the domain of F.)
Transcribed Image Text:
F= -y x² + y² i+ X x² + y² j + zk
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To show that the curl of F is zero we need to compute the curl and verify that it yields the zero ve...View the full answer
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Related Book For
Thomas Calculus Early Transcendentals
ISBN: 9780321884077
13th Edition
Authors: Joel R Hass, Christopher E Heil, Maurice D Weir
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