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Electromagnetic Theory

Presentation on Lecture 1 :Vector algebra, Vector calculus,

Coordinate systems

Presented By :Parag Parandkar

Assistant Professor, ECE

Email:parag.vlsi@gmail.com,

1

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AcknowledgementThe presenter would like to thanks and

acknowledge for the adoption of slides from theslides 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.

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Contents

Vector algebra, Unit Vector, Vector arithmetic

Distance Vector

Vector multiplication- Dot & Cross Product

Projection of a vector on another vector

Scalar triple product

Coordinate systems rectangular, Cylindrical,

SphericalTransformations-Cartesian, cylindrical and

spherical coordinates.

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Scalars and vectorsA scalar is a quantity that has only magnitude.

Time

Distance

Temperature

Speed

A vector is a quantity that has both magnitude and

direction.

Force

Displacement

Velocity

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Unit vector

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Vectors represented in rectangular co-

ordinate system

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Vectors represented in rectangular co-

ordinate system

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Position vector of a point in space

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Vector addition and subtraction

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Distance Vector

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Unit vector in the direction of a given

vector

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Example 1

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Vector Multiplication dot product

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Vector Multiplication dot product

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Vector Multiplication dot product

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Vector product or cross product

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Vector product or cross product

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Vector product or cross product

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Vector product or cross product

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Vector product or cross product

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Vector product or cross product

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Projection of a vector on another vector

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Projection of a vector on another vector

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Scalar Triple Product

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Scalar Triple Product

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Vector Triple Product

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Cylindrical co-ordinate systems

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Cylindrical co-ordinate systems

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Cylindrical co-ordinate systems

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Cylindrical co-ordinate systems

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Cylindrical co-ordinate systems

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Cylindrical co-ordinate systems

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Relation between cylindrical and rectangular

co-ordinates

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Relation between cylindrical and rectangular

co-ordinates

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Relation between cylindrical and rectangular

co-ordinates

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Relation between cylindrical and rectangular

co-ordinates

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Relation between cylindrical and rectangular

co-ordinates

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Relation between cylindrical and rectangular

co-ordinates

T f i f b li d i l

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Transformation of vectors between cylindrical

and rectangular co-ordinates

Transformation of vectors between

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Transformation of vectors between

cylindrical and rectangular co-ordinates

T f ti f t b t

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Transformation of vectors between

cylindrical and rectangular co-ordinates

Transformation of vectors between

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Transformation of vectors between

cylindrical and rectangular co-ordinates

l

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Example

l

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Example

E l

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Example

E l

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Example

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S h i l C di S

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Spherical Co-ordinate System

S h i l C di t S t

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Spherical Co-ordinate System

S h i l C di t S t

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Spherical Co-ordinate System

Spherical Co ordinate System

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Spherical Co-ordinate System

S h i l C di t S t

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Spherical Co-ordinate System

S h i l C di S

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Spherical Co-ordinate System

Transformation of variables

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Transformation of variables

Transformation of variables

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Transformation of variables

T f ti f t

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Transformation of vectors

Transformation of vectors

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Transformation of vectors

Transformation of vectors

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Transformation of vectors

Transformation of vectors

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Transformation of vectors

Transformation of vectors

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Transformation of vectors

Transformation of vectors

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Transformation of vectors

Transformation of vectors

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Transformation of vectors

Transformation of vectors

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Transformation of vectors

Transformation of vectors

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Transformation of vectors

Example

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Example

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Example

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Example

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