https://www.poriyaan.in/ https://eee.poriyaan.

in/
Electromagnetic Theory

*X10361* Reg. No. :

Question Paper Code : X10361

B.E./B.Tech. DEgREE ExamiNaTioNs, NovEmBER/DEcEmBER 2020
aND apRil/may 2021
Fourth semester
Electronics and communication Engineering
Ec 8451 – ElEcTRomagNETic FiElDs
(common to : Electronics and Telecommunication Engineering)
(Regulations 2017)

Time : Three Hours maximum : 100 marks

answer all questions

in
paRT – a (10×2=20 Marks)
1. state stokes theorem.
n.
aa
2. state Helmholtz’s theorem.
3. state coulomb’s law for electric field.
iy

4. Two point charges –1nc and 3nc are located at (0, 0, 0), and (1, 0, 0) respectively.
or

Find the Electric Field intensity of the system.

5. a current density K = 20a^x a/m flows in the y = 0 plane through the region
.p

–5 < z < 5 m and – ∞ < x < ∞. Find Ĥ at p(0, 10, 0) in free space.
w

6. state Biot savart’s law.

w

7. What is displacement current ?

w

8. state Faraday’s law.

9. Define poynting vector.
10. a sinusoidal electrical intensity of amplitude 250 v/m and frequency 1 gHz exists
in a lossy dielectric medium that has a relative permittivity of 2.5 and loss tangent
of 0.001. Find the effective conductivity of the lossy medium.

paRT – B (5×13=65 Marks)

11. a) i) give the cartesian coordinates of the point c(ρ = 4, ϕ = –650, z = 2). (4)
ii) give the cylindrical coordinates of the point D(x = –3.1, y = 2.6, z = 3). (4)
iii) specify the distance from c to D. (5)
(oR)
https://play.google.com/store/apps/details?id=com.poriyaan.poriyaaneee
https://www.poriyaan.in/ https://eee.poriyaan.in/

X10361 *X10361*

b) i) Find the div D at the point p(2, 3, –1 ) if D = (2xy – y2)az+ (x2z – 2xy)ay + x2 yaz c/m2. (6)
ii) given vectors m = –10ax + 4ay – 8az and N = 8ax + 7ay + –2az.
Find (a) Unit vector in direction –m + 2N (b) magnitude of 5az + N – 3m. (7)

12. a) Find the electrostatic field intensity E produced at the point p( 1, 5, 4) in free
space due to the following static charge  distributions :
i) a uniform line charge with a charge density of 150 nc/m is located along
x-axis. (6)
ii) a uniformly charged sheet with a charge density of 25 nc/m is located in
2

the plane z = –1. (7)

(oR)
b) Derive the boundary conditions of the normal and tangential components of
electric field at the interface of dielectric and free space.

13. a) consider an infinitely long coaxial transmission line and obtain the expressions
for magnetic field intensity ( Ĥ ) everywhere using ampere’s circuit law.

in
(oR)
b) Determine the necessary boundary conditions between two different magnetic
media µ1 and µ2.
n.
aa
14. a) illustrate the inconsistency of ampere’s circuital law for time varying fields, and
what is the remedial solution proposed by maxwell ? also give the differential
form representation of all the four maxwell’s equations.
iy

(oR)
or

b) i) Derive wave equation from maxwell’s equation. (6)

ii) Write Faraday’s law in differential and integral forms and explain
Faraday’s experiments.
.p

(7)

15. a) What is uniform plane wave ? Derive the relationship between E and H in a
w

uniform plane wave.

w

(oR)
b) Derive expressions for instantaneous, average and complex pointing vectors.
w

paRT – c (1×15=15 Marks)

16. a) analyze the wave behavior at boundaries under oblique incidence and derive
the Brewster’s angle.
(oR)
b) i) Determine the expression of self inductance for a solenoid having inner
radius ‘a’ and outer radius ‘b’. (7)
ii) calculate the self inductance of a solenoid having 500 turns about a
cylindrical core of 2 cm radius in which µr = 50 for 0 < ρ < 0.5 cm. (8)
_________________

https://play.google.com/store/apps/details?id=com.poriyaan.poriyaaneee
Electromagnetic Theory - Reg 2021 - EE3301
Unit I: (a) Vector Analysis :

Vector Analysis | Introduction | Scalars and Vectors | Representation of a Vector | Vector Algebra | The Co-ordinate
Systems | Cartesian Co-ordinate System | Cylindrical Co-ordinate System | Spherical Co-ordinate System | Vector
Multiplication | Scalar or Dot Product of Vectors | Vector or Cross Product of Vectors | Products of Three Vectors |
Transformation of Vectors | Types of Integral Related to Electromagnetic Theory | Divergence | Divergence Theorem |
Gradient of a Scalar | Curl of a Vector | Stoke's Theorem | Two Marks Questions with Answers | University Questions with
Answers (Long Answered Questions)

Unit I: (b) Coulombs Law and Electric Field Intensity :

Coulomb's Law and Electric Field Intensity | Introduction | Coulomb's Law | Electric Field Intensity | Electric Field Intensity
due to Various Charge Distributions | Electric Field due to Infinite Line Charge | Electric Field due to Charged Circular |
Electric Field due to Infinite Sheet of Charge | Two Marks Questions with Answers | University Questions with Answers
(Long Answered Questions)

Unit I: (c) Gauss Law and Applications :

Gauss's Law and Applications | Introduction | Electric Flux | Electric Flux Density | due to a Point Charge Q | Gauss’s Law |
Applications of Gauss's Law | Gauss's Law Applied to Differential Volume Element | Maxwell's First Equation | Divergence
Theorem | Two Marks Questions with Answers | University Questions with Answers (Long Answered Questions)

Unit II: (a) Electric Work Potential and Energy :

Electric Work Potential and Energy | Introduction | Work Done | The Line Integral | Potential Difference | Potential due to
Point Charge | Potential due to a Line Charge | Potential due to Surface Charge | Potential due to Volume Charge |
Potential Difference due to Infinite Line Charge | Equipotential Surfaces | Conservative Field | Potential Gradient | Energy
Density in the Electrostatic Fields | An Electric Dipole | Method of Images | Two Marks Questions with Answers | University
Questions with Answers (Long Answered Questions)

Unit II: (b) Conductors, Dielectrics and Capacitance :

Conductors, Dielectrics and Capacitance | Introduction | Current and Current Density | Continuity Equation | Conductors |
Relaxation Time | Dielectric Materials | Boundary Conditions | Boundary Conditions between Conductor and Free Space |
Boundary Conditions between Two Perfect Dielectrics | Concept of Capacitance | Capacitors in Series | Capacitors in
Parallel | Parallel Plate Capacitor | Capacitance of a Co-axial Cable | Spherical Capacitor | Composite Parallel Plate Capacitor
(Mixed Dielectrics) | Energy Stored in a Capacitor | Two Marks Questions with Answers | University Questions with Answers
(Long Answered Questions)

Unit II: (c) Poissons and Laplaces Equations :

Poisson's and Laplace's Equations | Introduction | Poisson's and Laplace's Equations | Uniqueness Theorem | Procedure for
Solving Laplace's Equation | Calculating Capacitance using Laplace's Equation | Two Marks Questions with Answers |
University Questions with Answers (Long Answered Questions)

Unit III: (a) Magnetostatics :

Magnetostatics | Introduction | Magnetic Field and its Properties | Biot-Savart Law | H due to Infinitely Long Straight
Conductor | H due to Straight Conductor of Finite Length | H at the Centre of a Circular Conductor | H on the Axis of a
Circular Loop | Ampere's Circuital Law | Applications of Ampere's Circuital Law | Point Form of Ampere's Circuital Law |
Magnetic Flux and Flux Density | Magnetic Scalar and Vector Potentials | Practical Applications | Two Marks Questions with
Answers | University Questions with Answers (Long Answered Questions)

Unit III: (b) Magnetic Forces, Magnetic Materials and Inductance :

Magnetic Forces, Magnetic Materials and Inductance | Introduction | Force on a Moving Point Charge | Force on a
Differential Current Element | Force between Differential Current Elements | Magnetic Torque and Magnetic Dipole
Moment | Nature of Magnetic Materials | Magnetization and Permeability | Magnetic Boundary Conditions | Magnetic
circuits | Inductance - Self Inductance and Mutual Inductance | Mutual Inductance between a Long, Straight Wire and
Rectangular Loop Laying in Same Plane | Magnetic Energy | Applications | Two Marks Questions with Answers | University
Questions with Answers (Long Answered Questions)

Unit IV: Time Varying Fields and Maxwells Equations :

Time Varying Fields and Maxwell's Equations | Introduction | Faraday’s Law and Lenz’s Law | Displacement Current Density
and Displacement Current | General Field Relations for Time Varying Electric and Magnetic Fields | Maxwell's Equations |
Boundary Conditions for Time Varying Fields | Retarded Potentials | Phasor Representation of a Vector | Comparison
between Field Theory and Circuit Theory | Applications | Two Marks Questions with Answers | University Questions with
Answers (Long Answered Questions)

Unit V: Electromagnetic Waves :

Electromagnetic Waves | Introduction | General Wave Equation | Uniform Plane Waves in Free Space | Electromagnetic
Wave Equations in Phasor Form | Uniform Plane Waves in Perfect (or Lossless) Dielectric | Uniform Plane Waves in Lossy
Dielectric | Uniform Plane Waves in Good Conductor | Poynting Vector and Poynting Theorem | Polarization of Uniform
Plane Waves | Reflection of Uniform Plane Waves | Oblique Incidence of Uniform Plane Waves | Applications | Two Marks
Questions with Answers | University Questions with Answers (Long Answered Questions)

Solved Paper :

Solved Paper - set 1 | Solved Paper - set 2 | Solved Paper - set 3 | Solved Paper - set 4

3rd Semester (EEE dept)

HOME | EEE | ECE | MECH | CIVIL | CSE

1st Semester Anna University EEE- Reg 2021
Professional English – I
2nd Semester 3rd Semester
Matrices and Calculus
Probability and Complex
Professional English - II Functions
Engineering Physics
Statistics and Numerical Electromagnetic Fields
Engineering Chemistry Methods
Problem Solving and Physics for Electrical Digital Logic Circuits
Python Programming Engineering
Electron Devices and
Physics and Chemistry Basic Civil and Mechanical Circuits
Laboratory Engineering
Electrical Machines - I
Engineering Graphics
C Programming and Data
4th Semester Electric Circuit Analysis Structures
Environmental Sciences
and Sustainability 6th Semester
Transmission and 5th Semester
Distribution Protection and
Linear Integrated Power System Analysis Switchgear
Circuits
Power Electronics Power System
Measurements and Operation and Control
Instrumentation Control Systems
Open Elective – I
Microprocessor and
Microcontroller Professional Elective I
Professional Elective IV
Electrical Machines - II Professional Elective II
Professional Elective V
Professional Elective III
7th Semester Professional Elective VI
High Voltage Mandatory Course-I& Mandatory Course-
Engineering II& MC
Human Values and 8th Semester
Ethics
Elective –
Management Project Work /
Internship
Open Elective – II
Open Elective – III
Open Elective – IV
Professional Elective
VII Click on Clouds to navigate other department

https://www.poriyaan.in/