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Electromagnetic Theory

Electromagnetic Theory. Engr.Mian Shahzad Iqbal Department of Telecom Engineering University of Engineering & Technology Taxila. Text Book. Two textbooks will be used extensively throughout this course 1. Field and Wave Electromagnetic by David K.Chang

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Electromagnetic Theory

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  1. Electromagnetic Theory Engr.Mian Shahzad Iqbal Department of Telecom Engineering University of Engineering & Technology Taxila

  2. Text Book Two textbooks will be used extensively throughout this course 1. Field and Wave Electromagnetic by David K.Chang • “Engineering Electromagnetic by William H.Hayt

  3. Yahoo Group • Group Home Page http://groups.yahoo.com/group/mianshahzadiqbal • Group Email mianshahzadiqbal@yahoogroups.com

  4. Field Vector Cartesian Coordinate System Coordinates Limits Orthonormal Unit Vectors Arbitrary Vector Field

  5. Position Vector Cylindrical Coordinate System Coordinates Orthonormal Unit Vectors

  6. Field Vector Spherical Coordinate System Coordinates Limits Orthonormal Unit Vectors Arbitrary Vector Field

  7. Cartesian Coordinate System: Coordinate Surfaces, Unit Vectors, Surface Elements and Volume Element

  8. Cylindrical Coordinate System: Coordinate Surfaces, Unit Vectors, Surface Elements and Volume Element

  9. Spherical Coordinate System: Coordinate Surfaces, Unit Vectors, Surface Elements and Volume Element

  10. Metric Coefficients and Vector Differential Line Elements Spherical Coordinate System Cartesian Coordinate System Cylindrical Coordinate System

  11. Metric Coefficients and Differential Volume and Surface Elements Spherical Coordinate System Cartesian Coordinate System Cylindrical Coordinate System

  12. Coordinates of Different Coordinate Systems Transformation Table CartesianCoordinates CylindricalCoordinates Spherical Coordinates

  13. Examples • Formulate x as a function of the cylinder and spherical coordinates. • Formulate r as a function of the Cartesian and spherical coordinates. • Formulate as a function of the cylinder coordinates. • .

  14. Scalar Vector Components in Different Coordinate Systems Transformation Table

  15. Electromagnetic • In EMT, we have to deal with quantities that depend on both time and position

  16. Gradient • Gradient of a scalar field is a vector field which points in the direction of the greatest rate of increase of the scalar field, and whose magnitude is the greatest rate of change.

  17. Gradient In the above two images, the scalar field is in black and white, black representing higher values, and its corresponding gradient is represented by blue arrows.

  18. Divergence • Divergence is an operator that measures the magnitude of a vector field's source or sink at a given point • The divergence of a vector field is a (signed) scalar • For example, for a vector field that denotes the velocity of air expanding as it is heated, the divergence of the velocity field would have a positive value because the air expands. If the air cools and contracts, the divergence is negative. The divergence could be thought of as a measure of the change in density.

  19. Curl • Curl is a vector operator that shows a vector field's "rotation"; • The direction of the axis of rotation and the magnitude of the rotation. It can also be described as the circulation density. • "Rotation" and "circulation" are used here for properties of a vector function of position, regardless of their possible change in time. • A vector field which has zero curl everywhere is called irrotational.

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