Unit I Static Electric Fields 9

Unit I Static Electric Fields 9

/ LESSON PLAN / LP – EC2253
LP Rev. No: 01
Date: 16/12/10
Page: 01 of 06
Sub Code & Name: EC2253 - ELECTROMAGNETIC FIELDS
Unit : I Branch : EC Semester :IV

UNIT I STATIC ELECTRIC FIELDS 9

Introduction to Co-ordinate System-Rectangular-Cylindrical and Spherical Co-ordinate system-Introduction to line, Surface and Volume Integrals-Definition of Curl, Divergence and Gradient-Meaning of Strokes theorem and Divergence theorem.

Coulomb’s Law in Vector Form – Definition of Electric field Intensity-Principle of Superposition-Electric field due to discrete charges-Electric field due to continuous charge distribution-Electric field due to charges distributed uniformly on an infinite and finite line-Electric Field on the axis of a uniformly charged circular disc-Electric Field due to an infinite uniformly charged sheet.

Electric Scalar Potential-Relationship between potential and electric field-Potential due to infinite uniformly charged line-Potential due to electrical dipole-Electric Flux Density-Gauss Law-Proof of Gauss Law-Applications.

Objective: To analyze field potentials due to static charges.

Session No. / Topics to be covered / Time / Ref / Teaching Method
1. / Introduction to Co-Ordinate System / 50m / 1,4,6 / BB
2. / Rectangular-Cylindrical and Spherical Co-ordinate system, Problems / 50m / 1,4,6 / BB
3. / Introduction to line, Surface and Volume Integrals, Definition of Curl, Divergence and Gradient, Problems / 50m / 1,4,7 / BB
5. / Meaning of Strokes theorem and Divergence theorem, Problems / 50m / 1,4,7 / BB
6. / Coulomb’s Law in Vector Form – Definition of Electric field Intensity, Problems / 50m / 1,4,6 / BB
7. / Principle of Superposition, Problems, Electric field due to discrete charges-Electric field due to continuous charge distribution, Problems / 50m / 1,3,6 / BB
8. / Electric field due to charges distributed uniformly on an infinite and finite line. / 50m / 1,4,6,7 / BB
9. / Electric Field on the axis of a uniformly charged circular disc, Problems / 50m / 1,6,7 / BB
10. / Electric Field due to an infinite uniformly charged sheet, Problems / 50m / 1,4,6,7 / BB
11. / Electric Scalar Potential-Relationship between potential and electric field, Problems / 50m / 1,4,7 / BB
12. / Potential due to infinite uniformly charged line-Potential due to electrical dipole, Problems / 50m / 1,3, 4,6,7 / BB
13. / Electric Flux Density-Gauss Law-Proof of Gauss Law, Gauss Law Applications, Problems / 50m / 1,3, 7 / BB
14. / Tutorial / 50m / 1,4,7 / BB
/ LESSON PLAN / LP – EC2253
LP Rev. No: 01
Date: 16/12/10
Page: 02 of 06
Sub Code & Name: EC2253 - ELECTROMAGNETIC FIELDS
Unit : II Branch : EC Semester :IV

UNIT II STATIC MAGNETIC FIELD 9

The Biot-Savart Law in vector form-Magnetic Field intensity due to a finite and infinite wire carrying a current I-Magnetic field intensity on the axis of a circular and rectangular loop carrying a current I – Ampere’s circuital law and simple applications.

Force on a wire carrying a current I placed in a magnetic field – Torque on a loop carrying a current I – Magnetic moment-Magnetic Vector Potential.

Objective: To evaluate static magnetic fields.

Session No. / Topics to be covered / Time / Ref / Teaching Method
15. / The Biot-Savart Law in vector form, Problems / 50m / 1,3,5,7 / BB
16. / Magnetic Field intensity due to a finite and infinite wire carrying a current I, Problems / 50m / 1,3,7 / OHP, BB
17. / Magnetic field intensity on the axis of a circular and rectangular loop carrying a current I, Problems / 50m / 1,4,5,6 / OHP, BB
18. / Ampere’s circuital law, Problems / 50m / 1,4,6 / BB
19. / Simple applications / 50m / 1,4,5,7 / BB
20. / Problems / 50m / 1,4,5,7 / BB
21. / Force on a wire carrying a current I placed in a magnetic field, Problems / 50m / 1,3,4,6 / BB
22. / Torque on a loop carrying a current I / 50m / 1,4,7 / BB
23. / Problems / 50m / 1,4,7 / BB
24. / Magnetic moment-Magnetic Vector Potential / 50m / 1,5,6,7 / BB
25. / Problems / 50m / 1,5,6,7 / BB
26. / Tutorial / 50m / 1,3,5,6 / BB
27. / CAT-I / 75m / - / BB
/ LESSON PLAN / LP – EC2253
LP Rev. No: 01
Date: 16/12/10
Page: 03 of 06
Sub Code & Name: EC2253 - ELECTROMAGNETIC FIELDS
Unit : III Branch : EC Semester :IV

UNIT III ELECTRIC AND MAGNETIC FIELDS IN MATERIALS 9

Poisson’s and Laplace’s equation-Electric Polarization-Nature of dielectric materials-Definition of Capacitance –Capacitance of various geometries using Laplace’s equation-Electrostatic energy and energy density-Boundary conditions for electric fields-Electric current-Current density - Point form of ohm’s law-continuity equation for current.

Definition of Inductance-Inductance of loops and solenoids-Definition of mutual inductance-simple examples. Energy density in magnetic fields-Nature of magnetic materials-magnetization and permeability-magnetic boundary conditions.

Objective: To understand how materials affect electric and magnetic fields

Session No. / Topics to be covered / Time / Ref / Teaching Method
28. / Poisson’s and Laplace’s equation, Problems / 50m / 1,3,6,7 / BB
29. / Electric Polarization, Nature of dielectric materials, Problems / 50m / 1,3,4,7 / BB
30. / Definition of Capacitance, Capacitance of various geometries using Laplace’s equation, Problems / 50m / 1,3,5,6 / BB
31. / Electrostatic energy and energy density, Problems / 50m / 1,5,6,7 / BB
32. / Boundary conditions for electric fields, Electric current, Current density, Problems / 50m / 1,6,7 / BB
33. / Point form of ohm’s law, continuity equation for current, Problems / 50m / 1,3,4,7 / BB
34. / Definition of Inductance, Inductance of loops and solenoids, Problems / 50m / 1,3,7 / BB
35. / Definition of mutual inductance, Problems / 50m / 1,3,4,5 / BB
36. / Energy density in magnetic fields, Nature of magnetic materials, Problems / 50m / 1,3,6,7 / BB
37. / magnetization and permeability, magnetic boundary conditions, Problems / 50m / 1,3,5,7 / BB
38. / Tutorial / 50m / 1,4,5,6 / BB
/ LESSON PLAN / LP – EC2253
LP Rev. No: 01
Date: 16/12/10
Page: 04 of 06
Sub Code & Name: EC2253 - ELECTROMAGNETIC FIELDS
Unit : IV Branch : EC Semester :IV

UNIT IV TIME VARYING ELECTRIC AND MAGNETIC FIELDS 9

Faraday’s law – Maxwell’s Second Equation in integral form from Faraday’s Law – Equation expressed in point form.

Displacement current – Ampere’s circuital law in integral form – Modified form of Ampere’s circuital law as Maxwell’s first equation in integral form – Equation expressed in point form – Maxwell’s four equations in integral form and different form.

Poynting Vector and the flow of power – Power flow in a co-axial cable – Instantaneous Average and Complex Poynting Vector

Objective: To understand the relation between the fields under time varying situations.

Session No. / Topics to be covered / Time / Ref / Teaching Method
39. / Faraday’s law – Maxwell’s Second Equation in integral form from Faraday’s Law, Problems / 50m / 2,3,6,7 / OHP, BB
40. / Maxwell’s Second Equation in point form from Faraday’s Law, Problems / 50m / 2,6,7 / OHP, BB
41. / Displacement current – Ampere’s circuital law in integral form, Problems / 50m / 2,3,5,7 / BB
42. / Modified form of Ampere’s circuital law as Maxwell’s first equation in integral form, Problems / 50m / 2,3,6,7 / OHP, BB
43. / Modified form of Ampere’s circuital law as Maxwell’s first equation in point form, Problems / 50m / 2,3,5,6,7 / OHP, BB
44. / Poynting Vector and the flow of power, Problems / 50m / 2,3,5,7 / BB
45. / Power flow in a co-axial cable / 50m / 2,3,5,7 / BB
46. / Instantaneous Average and Complex Poynting Vector / 50m / 2,3,5,7 / BB
47. / Problems / 50m / 2,3,5,7 / BB
48. / Tutorial / 50m / 2,3,4,5,6 / BB
49. / Tutorial / 50m / 2,3,6 / BB
50. / CAT-II / 75m / - / -
/ LESSON PLAN / LP – EC2253
LP Rev. No: 01
Date: 16/12/10
Page: 05 of 06
Sub Code & Name: EC2253 - ELECTROMAGNETIC FIELDS
Unit :V Branch : EC Semester :IV

UNIT V ELECTROMAGNETIC WAVES 9

Derivation of Wave Equation-Uniform plane waves-Maxwell’s equation in Phasor form-Wave equation in Phasor form-Plane waves in free space and in a homogenous material.

Wave equation for a conducting medium-Plane waves in lossy dielectric-Propagation in good conductors-Skin effect.

Linear, Elliptical and circular polarization-Reflection of Plane Wave from a conductor-normal incidence-Reflection of Plane Waves by a perfect dielectric-normal and oblique incidence-Dependence on Polarization-Brewster angle.

Objective: To understand principles of propagation of uniform plane waves.

Session No. / Topics to be covered / Time / Ref / Teaching Method
51. / Derivation of Wave Equation-Uniform plane waves, Problems / 50m / 2,3,5,7 / OHP
52. / Maxwell’s equation in Phasor form-Wave equation in Phasor form, Problems / 50m / 2,3,4,7 / OHP, BB
53. / Plane waves in free space and in a homogenous material, Problems / 50m / 2,4,6,7 / OHP, BB
54. / Wave equation for a conducting medium, Problems / 50m / 2,3,7 / BB
55. / Plane waves in lossy dielectric-Propagation in good conductors-Skin effect, Problems / 50m / 2,3,5,6,7 / BB
56. / Linear, Elliptical and circular polarization, Problems / 50m / 2,5,6,7 / BB
57. / Reflection of Plane Wave from a conductor-normal incidence, Problems / 50m / 2,3,4,5,7 / OHP, BB
58. / Reflection of Plane Waves by a perfect dielectric-normal incidence, Problems / 50m / 2,3,5,7 / BB
59. / Reflection of Plane Waves by a perfect dielectric- oblique incidence, Problems / 50m / 2,3,4,7 / BB
60. / Dependence on Polarization-Brewster angle, Problems / 50m / 2,3,5,6,7 / BB
61. / Review of UNIT-V / 50m / 2,3,4,5,6,7 / BB
62. / Tutorial / 50m / 4,5,7 / BB
63. / CAT-III / 75m / - / -
/ LESSON PLAN / LP – EC2253
LP Rev. No: 01
Date: 16/12/10
Page: 06 of 06
Sub Code & Name: EC2253 - ELECTROMAGNETIC FIELDS

Branch : EC Semester :IV

Course Delivery Plan:

CAT I CAT II CAT III

Week / 1 / 2 / 3 / 4 / 5 / 6 / 7 / 8 / 9 / 10 / 11 / 12 / 13 / 14 / 15
I II / I II / I II / I II / I II / I II / I II / I II / I II / I II / I II / I II / I II / I II / I II
Units / Unit I / Unit II / Unit III / Unit IV / Unit V

TEXT BOOKS

[1] William H. Hayt: “Engineering Electromagnetics” TATA 2003 (Unit I,II,III).

[2] E.C. Jordan & K.G.Balmain “Electromagnetic Waves and Radiating

Systems.” Printice Hall of India 2nd edition 2003. (Unit IV, V).

REFERENCES

[3] M.N.O. Sadiku: “Elements of Engineering Electromagnetics” Oxford

University Press, Fourth edition, 2007.

[4] Narayana Rao. N: “Engineering Electromagnetics” 4th edition, Prentice Hall

of India, New Delhi, 2006.

[5] Ramo, Whinnery and Van Duzer: “Fields and Waves in Communications

Electronics” John Wiley & Sons (3rd edition 2003).

[6] David K. Cheng: “Field and Wave Electromangetics” – Second Edition-

Pearson Edition, 2004.

[7] G.S.N. Raju, “Electromagnetic Field Theory & Transmission Lines Pearson

Education, 2006.

Prepared by / Approved by

Signature

Name / B.Hemalatha / Prof. E.G.Govindan
Designation / Asst. Professor / HOD, Department of EC
Date / 18.12.2010 / 18.12.2010