EMT Lect -2 Differential Elements, Line,Surface and Volume Integrals, DeL Operator

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This tutorial of Electromagnetic theory elaborates about mathematical relationship of Differential elements, line surface and volume integrals and Del operator.

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Electromagnetic Theory

Electromagnetic Theory Presentation on Lecture 2 :Constant coordinate surfaces, Differential elements, Line, Surface and Volume Integrals, DEL Operator Presented By : Parag ParandkarAssistant Professor, ECEEmail: [email protected],

1AcknowledgementThe presenter would like to thanks and acknowledge for the adoption of slides from the slides prepared by MKP for CEC prepared in July-2008.The copyrights belongs to the original author.The presentation is being used for educational and non commercial purpose.Contents Constant Co-ordinate surfacesDifferential Elements in rectangular co-ordinate systemDifferential length area & volume in Cartesian co-ordinatesDifferential normal areas in all the three co-ordinate systemsDifferential elements in all the three co-ordinate systemsLine IntegralsSurface IntegralsVolume IntegralsScalar and vector fieldsDEL Operator in all the three coordinates

Constant Co-ordinate surfaces

Constant Co-ordinate surfaces

Constant Co-ordinate surfaces

Constant Co-ordinate surfaces

Constant Co-ordinate surfaces

Constant Co-ordinate surfaces

Constant Co-ordinate surfaces

Constant Co-ordinate surfacesDifferential Elements in rectangular co-ordinate system

Differential length area & volume in Cartesian co-ordinates

Differential length area & volume in Cartesian co-ordinates

Differential normal areas in rectangular co-ordinate system

Differential elements in cylindrical co-ordinate system

Differential elements in cylindrical co-ordinate system

Differential normal areas in cylindrical co-ordinate system

Differential normal areas in cylindrical co-ordinate systemDifferential elements in spherical co-ordinate system

Differential elements in spherical co-ordinate systemDifferential normal areas in spherical co-ordinate system

Differential normal areas in spherical co-ordinate system

Example

Example

Line Integrals

Line Integrals

Line Integrals

Line Integrals

Surface Integrals

Surface Integrals

Surface Integrals

Volume Integrals

Scalar & Vector fields

DEL Operator

DEL Operator in cylindrical coordinates

DEL Operator in cylindrical coordinates

DEL Operator in Spherical coordinates

DEL Operator in Spherical coordinates

DEL Operator in Spherical coordinates