Vector Analysis

UNIT-I

Chapter - 1

(a) Vector Analysis

Syllabus

Sources and effects of electromagnetic fields – coordinate systems – Vector fields – Gradient, Divergence, Curl theorems and applications.

Contents

1.1     Introduction         ..................1-2

1.2     Scalars and Vectors..................        1-2

1.3     Representation of a Vector..................       1-3

1.4     Vector Algebra..................      1-4

1.5     The Co-ordinate Systems        ..................1-5

1.6     Cartesian Co-ordinate System..................  1-5

May-05, Dec.-08, Marks 5

1.7     Cylindrical Co-ordinate System        ..................1-10

May-05, Dec.-08, Marks 5

1.8     Spherical Co-ordinate System ..................1-14

May-05, 10, 18, Dec.-07, 08, Marks 8

1.9     Vector Multiplication..................      1-19

1.10   Scalar or Dot Product of Vectors..................       1-19

May-06, Dec.-09, Marks 6

1.11   Vector or Cross Product of Vectors..................   1-22

May-07, Marks 6

1.12   Products of Three Vectors..................        1-25

1.13   Transformation of Vectors..................       1-26

May-03, 11, 13, 14, 19, Dec.-10, 12, 13, 14, 16, 18, Marks 16

1.14   Types of Integral Related to Electromagnetic Theory ..................    1-34

Dec.-ll, May-15, Marks 16

1.15   Divergence  ..................1-36

May-04, 06, 16,18, Dec.-04, 07, 10, 13, 14, 18

1.16   Divergence Theorem..................       1-39

May-04, 07, 09, 19, Dec.-09, 14, 15, 17, 18, 19, Marks 16

1.17   Gradient of a Scalar..................        1-44

May-04, 08, 10, 12, Dec.-04,10, 13,18, Marks 4

1.18   Curl of a Vector..................    1-46

Dec.-04, 06, 09, 10, 11, 12, 13, 18 May-03, 04, 10, 13, 14, 16, Marks 4

1.19   Stake's Theorem..................    1-50

May-09,10, Dec.-10,ll,12,13. Marks 10

1.20   Two Marks Questions with Answers ..................         1-56

1.21   University Questions with Answers (Long Answered Questions) .......      1-64