# Syllabus - 3rd Semester -Field Theory - Subject Code - 06MAT36

## Syllabus - 3rd Semester -Field Theory - Subject Code - 06MAT36

Field Theory

PART – A

UNIT 1:

a. Coulomb’s Law and electric field intensity: Experimental law of Coulomb, Electric field intensity, Field due to continuous volume charge distribution, Field of a line charge (Chapter 2 – 2.1, 2.2, 2.3 2.4)

03 Hours

b. Electric flux density, Gauss’ law and divergence: Electric flux density, Gauss’ law, Divergence, Maxwell’s First equation(Electrostatics), vector operator and divergence theorem

(Chapter 3 – 3.1, 3.2, 3.5, 3.6, 3.7)

04 Hours

UNIT 2:

Energy expended in moving a point charge in an electric field, The line integral, Definition of potential difference and Potential, The potential field of a point charge and system of charges, Potential gradient , Energy density in an electrostatic field (Chapter 4 – 4.1, 4.2, 4.3, 4.4, 4.5 4.6, 4.8 )

04 Hours

Current and current density, Continuity of current, metallic conductors, Conductor properties and boundary conditions, boundary conditions for perfect Dielectrics, capacitance and examples.

(Chapter 5 - 5.1, 5.2, 5.3, 5.4; Chapter 6 – 6.2, 6.3, 6.4)

03 Hours

UNIT 3:

Derivations of Poisson’s and Laplace’s Equations, Uniqueness theorem, Examples of the solutions of Laplace’s and Poisson’s equations

(Chapter 7 – 7.1, 7.2, 7.3, 7.4)

06 Hours

UNIT 4:

Biot-Savart law, Ampere’s circuital law, Curl, Stokes’ theorem, magnetic flux and flux density, scalar and Vector magnetic potentials

(Chapter 8 – 8.1, 8.2, 8.3, 8.4, 8.5, 8.6)

06 Hours

PART – B

UNIT 5:

Force on a moving charge and differential current element, Force between differential current elements, Force and torque on a closed circuit.

(Chapter 9 – 9.1, 9.2, 9.3, 9.4)

03 Hours

Magnetization and permeability, Magnetic boundary conditions, Magnetic circuit, Potential energy and forces on magnetic materials, Inductance and Mutual Inductance.

(Chapter 9 – 9.6, 9.7, 9.8, 9.9, 9.10)

04 Hours

UNIT 6:

Faraday’s law, displacement current, Maxwell’s equation in point and Integral form, retarded potentials

(Chapter 10)

06 Hours

UNIT 7:

Wave propagation in free space and dielectrics, Poynting’s theorem and wave power, propagation in good conductors – (skin effect).

( Chapter 12 – 12.1 to 12.4)

07 Hours

UNIT 8:

Reflection of uniform plane waves at normal incidence, SWR, Plane wave propagation in general directions.

( Chapter 13 – 13.1, 13.2, 13.4)

06 Hours

“Engineering Electromagnetics”, William H Hayt Jr. and John A Buck, Tata McGraw-Hill, 7th edition, 2006

1. “Electromagnetics with Applications”, John Krauss and Daniel A Fleisch, McGraw-Hill, 5th edition, 1999

2. “Electromagnetic Waves And Radiating Systems,” Edward C. Jordan and Keith G Balmain, Prentice – Hall of India / Pearson Education, 2nd edition, 1968.Reprint 2002

3. “Field and Wave Electromagnetics”, David K Cheng, Pearson Education Asia, 2nd edition, - 1989, Indian Reprint – 2001.

Question Paper Pattern: Student should answer FIVE full questions out of 8 questions to be set each carrying 20 marks, selecting at least TWO questions from each part

UNIT 1: (a) Chapter 2 (b) Chapter 3

UNIT 2: (a) Chapter 4 except section 4.7

(b) Chapter 5 (except sections 5.5 and 5.6); 6.2, 6.3, 6.4

UNIT 3: Chapter 7 except sections 7.5 and 7.6

UNIT 4: Chapter 8 except section 8.7

UNIT 5: Chapter 9 except Section 9.5

UNIT 6: Chapter 10

UNIT 7: Chapter 12

UNIT 8: Chapter 13 – 13.1, 13.2, 13.4, 13.7

PART – A

UNIT 1:

**Laws:**a. Coulomb’s Law and electric field intensity: Experimental law of Coulomb, Electric field intensity, Field due to continuous volume charge distribution, Field of a line charge (Chapter 2 – 2.1, 2.2, 2.3 2.4)

03 Hours

b. Electric flux density, Gauss’ law and divergence: Electric flux density, Gauss’ law, Divergence, Maxwell’s First equation(Electrostatics), vector operator and divergence theorem

(Chapter 3 – 3.1, 3.2, 3.5, 3.6, 3.7)

04 Hours

UNIT 2:

**a. Energy and potential**:Energy expended in moving a point charge in an electric field, The line integral, Definition of potential difference and Potential, The potential field of a point charge and system of charges, Potential gradient , Energy density in an electrostatic field (Chapter 4 – 4.1, 4.2, 4.3, 4.4, 4.5 4.6, 4.8 )

04 Hours

**b. Conductors, dielectrics and capacitance:**Current and current density, Continuity of current, metallic conductors, Conductor properties and boundary conditions, boundary conditions for perfect Dielectrics, capacitance and examples.

(Chapter 5 - 5.1, 5.2, 5.3, 5.4; Chapter 6 – 6.2, 6.3, 6.4)

03 Hours

UNIT 3:

**Poisson’s and Laplace’s equations:**Derivations of Poisson’s and Laplace’s Equations, Uniqueness theorem, Examples of the solutions of Laplace’s and Poisson’s equations

(Chapter 7 – 7.1, 7.2, 7.3, 7.4)

06 Hours

UNIT 4:

**The steady magnetic field:**Biot-Savart law, Ampere’s circuital law, Curl, Stokes’ theorem, magnetic flux and flux density, scalar and Vector magnetic potentials

(Chapter 8 – 8.1, 8.2, 8.3, 8.4, 8.5, 8.6)

06 Hours

PART – B

UNIT 5:

**a. Magnetic forces:**Force on a moving charge and differential current element, Force between differential current elements, Force and torque on a closed circuit.

(Chapter 9 – 9.1, 9.2, 9.3, 9.4)

03 Hours

**b. Magnetic materials and inductance**:Magnetization and permeability, Magnetic boundary conditions, Magnetic circuit, Potential energy and forces on magnetic materials, Inductance and Mutual Inductance.

(Chapter 9 – 9.6, 9.7, 9.8, 9.9, 9.10)

04 Hours

UNIT 6:

**Time varying fields and Maxwell’s equations:**Faraday’s law, displacement current, Maxwell’s equation in point and Integral form, retarded potentials

(Chapter 10)

06 Hours

UNIT 7:

**Uniform plane wave:**Wave propagation in free space and dielectrics, Poynting’s theorem and wave power, propagation in good conductors – (skin effect).

( Chapter 12 – 12.1 to 12.4)

07 Hours

UNIT 8:

**Plane waves at boundaries and in dispersive media:**Reflection of uniform plane waves at normal incidence, SWR, Plane wave propagation in general directions.

( Chapter 13 – 13.1, 13.2, 13.4)

06 Hours

**TEXT BOOK:**“Engineering Electromagnetics”, William H Hayt Jr. and John A Buck, Tata McGraw-Hill, 7th edition, 2006

**REFERENCE BOOKS:**1. “Electromagnetics with Applications”, John Krauss and Daniel A Fleisch, McGraw-Hill, 5th edition, 1999

2. “Electromagnetic Waves And Radiating Systems,” Edward C. Jordan and Keith G Balmain, Prentice – Hall of India / Pearson Education, 2nd edition, 1968.Reprint 2002

3. “Field and Wave Electromagnetics”, David K Cheng, Pearson Education Asia, 2nd edition, - 1989, Indian Reprint – 2001.

Question Paper Pattern: Student should answer FIVE full questions out of 8 questions to be set each carrying 20 marks, selecting at least TWO questions from each part

**Coverage in the Text book:**UNIT 1: (a) Chapter 2 (b) Chapter 3

UNIT 2: (a) Chapter 4 except section 4.7

(b) Chapter 5 (except sections 5.5 and 5.6); 6.2, 6.3, 6.4

UNIT 3: Chapter 7 except sections 7.5 and 7.6

UNIT 4: Chapter 8 except section 8.7

UNIT 5: Chapter 9 except Section 9.5

UNIT 6: Chapter 10

UNIT 7: Chapter 12

UNIT 8: Chapter 13 – 13.1, 13.2, 13.4, 13.7

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