EE2011 Lecture 1 - Review of Vector Calculus

Prof joshua le wei li em research group prof 4 ee2011

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: (c). In (d), the vector B is subtracted from A. Prof Joshua Le-Wei Li, EM Research Group Prof 4 EE2011: Engineering Electromagnetics Electromagnetics Basic Vector Algebra • Position and Distance Vectors Position vectors are R2 and R1 which have to be determined by 3-D positions, while distance vector is R12 = R2 - R1 which can shift. Prof Joshua Le-Wei Li, EM Research Group Prof 5 EE2011: Engineering Electromagnetics Electromagnetics Basic Vector Algebra • Vector Multiplications – Scalar or Dot Product A B AB cos AB AB Ax Bx AB BA Ay B y Az Bz A A | A |2 A 2 A (B C) A B A C Prof Joshua Le-Wei Li, EM Research Group Prof 6 EE2011: Engineering Electromagnetics Electromagnetics Basic Vector Algebra • Vector Multiplications – Vector Product ˆ A B nAB sin AB BA AA0 A (B C ) ˆ y Ay ˆ z Az Bx AB ˆ x Ax By Bz AB AC Prof Joshua Le-Wei Li, EM Research Group Prof 7 EE2011: Engineering Electromagnetics Electromagnetics Basic Vector Algebra • Scalar and Vector Triple Products ABC BCA ABC Ax Bx Ay By Az Bz Cx Cy Cz A A BC BC Prof Joshua Le-Wei Li, EM Research Group Prof CAB BA C CA B AB C 8 EE2011: Engineering Electromagnetics Electromagnetics Orthogonal Coordinate Systems • Cartesian Coordinates Prof Joshua Le-Wei Li, EM Research Group Prof 9 EE2011: Engineering Electromagnetics Electromagnetics Orthogonal Coordinate Systems • Cylindrical Coordinate Prof Joshua Le-Wei Li, EM Research Group Prof 10 EE2011: Engineering Electromagnetics Electromagnetics Orthogonal Coordinate Systems • Spherical Coordinates Prof Joshua Le-Wei Li, EM Research Group Prof 11 EE2011: Engineering Electromagnetics Electromagnetics Orthogonal Coordinate...
View Full Document

Ask a homework question - tutors are online