Unformatted text preview: ua LeWei Li, EM Research Group
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Electromagnetics Curl of a Vector Field
• Vector Identities Involving the Curl
– Distributive property of two vector fields
AB
A
B
– Divergence of a curl of a vector field
A0
– Curl of a gradient of a scalar field
V0 Prof Joshua LeWei Li, EM Research Group
Prof 31 EE2011: Engineering Electromagnetics
Electromagnetics Curl of a Vector Field
• Curl operator in Cylindrical and Spherical
Coordinate Systems
– Cylindrical Coordinate System A – Spherical Coordinate System
A Prof Joshua LeWei Li, EM Research Group
Prof 1
R 2 sin 32 ˆ
r
1
rr
Ar ˆr ˆ
z rA z
Az ˆ
r ˆR ˆ R sin R
AR RA R sin A EE2011: Engineering Electromagnetics
Electromagnetics Curl of a Vector Field
• Example 1 Prof Joshua LeWei Li, EM Research Group
Prof 33 EE2011: Engineering Electromagnetics
Electromagnetics Curl of a Vector Field
• Example 2 Prof Joshua LeWei Li, EM Research Group
Prof 34 EE2011: Engineering Electromagnetics
Electromagnetics Curl of a Vector Field
• Stokes’s Theorem
– The Stokes’s Theorem converts the integral of the curl of a
vector over an open surface S into a line integral of the
vector along the contour C bounding the su...
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 Spring '14
 Electrical Engineering, Vector Calculus, Coordinate system, Polar coordinate system, Vector field, Prof Joshua LeWei Li

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