ENEE 303Bachelor in Electrical Engineering · Semester 52 Papers Available

Electromagnetics

Past examination question papers and complete curriculum syllabus for Electromagnetics (ENEE 303), Bachelor in Electrical Engineering Semester 5 under Institute of Engineering (IOE), Tribhuvan University.

Sem 5 Subjects (5)View Full Semester Overview →

ENEE 301Power System Analysis II ENEE 302Electric Machine Design ENSH 301Probability and Statistics ENCT 301Microprocessors ENEE 303Electromagnetics

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Note: This question paper file (3rd sem) was archived from an IOE exam session for the common Electromagnetics curriculum.

3rd-sem_Electromagnetics.pdf

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Most Frequently Asked Questions

Top recurring IOE board exam questions for Electromagnetics with verified mark schemes, formula notation, and recurrence frequency.

Showing 40 of 40 top repeated questions

6 Chapters · Click any chapter to expand

Year-wise & Session-wise Exam Papers

Complete questions from each exam session (Regular & Back exams from 2082 to 2069) for Electromagnetics. Click any session paper to expand.

Showing 296 questions across 20 exam session papers

Institute of Engineering • 2083 Baishakh Board Examination

Q1[1 Marks]Electric Field

Find

D

P (6, 8, 10)

caused by a point charge of

30 nC

at the origin, a uniform line charge

ρ_{L} = 40 μ C/m

on the z-axis and a uniform surface charge density

ρ_{s} = 57.2 μ C/m^{2}

on the plane

x = 9

Q2[5 Marks]Electric Field

Derive the expression for electric boundary conditions between two perfect dielectric materials.

Q3[3 Marks]Magnetic Field

Can scalar magnetic potential be defined similar to as scalar electric potential. Explain. If

A = x^{2} y \overset{a}{^}_{x} + x y^{2} \overset{a}{^}_{y} - 4 x y z \overset{a}{^}_{z} Wb/m, d e t er min e

the total magnetic flux crossing the surface

z = 1, 0 < x < 1, - 1 < y < 4

Q4[2 Marks]Plane Waves

Explain uniform plane wave. Derive the equation of EM wave when travelling in Lossy dielectric medium.

Q5[1 Marks]Plane Waves

H

field in free space is given as

H (x, t) = 10 cos (1 0^{8} t - β x) \overset{a}{^}_{y} A/m

. Find (a)

ω

(b)

β

(c)

λ

(d)

E (x, t)

P (0.1, 0.2, 0.3)

t = 1 ns

Q6[8 Marks]Transmission Lines

Derive an expression for standing Wave for both electric and magnetic field. Also indicate where on the z-axis you'll get the maximum and minimum value of electric field intensity

E

. Assume that the boundary is at

z = 0

, the region

z < 0

is a perfect dielectric and the region

z > 0

may be of any material.

Q7[4 Marks]Transmission Lines

A distortionless line has the characteristic impedance of

50 Ω, t h e

attenuation constant of

22 mNp/m

and the phase velocity of

2 \times 1 0^{8} m/s

. Determine the line parameters

R, L, C

and

G

300 MHz

Q8[1 Marks]Introduction

Find the vector that extends from

A (- 3, - 4, 6)

B (- 5, 2, - 8)

and express it in cylindrical coordinate system.

Q9[7 Marks]Electric Field

Find

D

P (6, 8, 10)

caused by a point charge of

30 nC

at the origin, a uniform line charge

ρ_{L} = 40 μ C/m

on the z-axis and a uniform surface charge density

ρ_{s} = 57.2 μ C/m^{2}

on the plane

x = 9

Q10[7 Marks]Electric Field

Let the region

z < 0

be composed of a uniform dielectric material for which

ϵ_{R 1} = 3.2, w hi l e

the region

z > 0

is characterized by

ϵ_{R 2} = 2

. Let

D_{1} = - 30 a_{x} + 50 a_{y} + 70 a_{z} nC/m^{2}

and find:- (a)

D_{t 1}

(Tangential component of

D

in Region 1); (b) Polarization (

P_{1}

); (c)

E_{

n^2

}

(Normal component of

E

in Region 2) (d)

E_{t 2}

(Tangential component of

E

in Region 2)

Q11[2 Marks]Electric Field

Derive the Possion's and Laplace's equations. Derive the expression of parallel plate capacitor using the solution of one-dimensional Laplace's equation solution

Q12[6 Marks]Magnetic Field

Derive the equation for magnetic field intensity in different regions due to a co-axial cable carrying a uniformly distributed DC current

I

in the inner conductor and -I$$ in the outer conductor.

Q13[6 Marks]Magnetic Field

Find the vector magnetic field intensity

H

in Cartesian coordinate at

P (- 1.5, - 4, 3)

caused by a current filament of

12 A

in the

a_{z}

direction on the z-axis and extending from

z = - 3

z = 3

Q14[1 Marks]Magnetic Field

Define curl and give the physical interpretation of the curl with a suitable example.

Q15[3 Marks]Magnetic Field

A uniform plane wave in free space is propagating in the

- a_{y}

direction at a frequency of

5 MHz

. If

E = 200 cos (ω t + β y) a_{z} V/m, w r i t e

the expressions for electric and magnetic fields, i.e.,

E_{s} (x, y, z)

and

H_{s} (x, y, z)

respectively in phasor forms.

Q16[6 Marks]Time Varying Fields

Find the amplitude of the displacement current density in

a^{n}

air space within a large power transformer where

H = 1 0^{6} cos (377 t + 1.2566 \times 1 0^{- 6} z) a_{y} A/m

Q17[4 Marks]Plane Waves

A lossless

60 Ω

line is

1.8 λ

long and is terminated with pure resistance of

80 Ω

. The load voltage is

15∠3 0^{\circ} V

. (i) Average power delivered to load (ii) Magnitude of minimum voltage on the line.

Q18[3 Marks]Transmission Lines

What are the advantages and disadvantages of waveguides when you compare it with transmission lines? Explain the transverse electric (TE) and transverse magnetic (TM) modes used in rectangular waveguides.

Q19[1 Marks]Electric Field

Give the definition of

a^{n}

antenna and explain the properties of any one type of antenna that you have studied during your electromagnetics course.

Q20[5 Marks]Introduction

Given the points

C (- 3, 2, 1)

and

D (r = 5, θ = 2 0^{\circ}, ϕ = - 7 0^{\circ})

express the distance vector from

C

D

in spherical co-ordinate system at

D

Q21[2 Marks]Electric Field

A dipole of moment

p = 6 \overset{a}{^}_{z} nC.m

is located at the origin in free space. (a) Find

V

P

(r = 4, θ = 2 0^{\circ}, ϕ = 0^{\circ})

(b) Find

E

P

Q22[6 Marks]Magnetic Field

Derive the expression for the magnetic field intensity at a point due to an infinite filament carrying a dc current

I

, placed on the z-axis, using the concept of vector magnetic potential.

Q23[2 Marks]Magnetic Field

Explain the significance of Curl with example. Evaluate both sides of Stoke's theorem for the field

H = 4 x y \overset{a}{^}_{x} - 2 y^{2} \overset{a}{^}_{y} A/m

& the rectangular path around the region

3 \leq x \leq 6, - 2 \leq y \leq 2, z = 0

. Let the positive direction of

d S

\overset{a}{^}_{z}

Q24[3 Marks]Time Varying Fields

Explain motional emf with necessary derivations. List out the Maxwell's equations in point form for time varying fields.

Curriculum Syllabus & Course Topics

Sourced from TU curriculum portal

Full Syllabus (PDF)

Chapter-wise Units & Micro-Syllabus Topics (6 Units)

1. Introduction
- 1.1Scalar and vector fields
- 1.2Operations on scalar and vector fields
- 1.3Co‐ordinate systems (Cartesian, cylindrical and spherical) and conversions
2. Electric Field
- 2.1Coulomb’s law
- 2.2Electric field intensity
- 2.3Electric flux density
- 2.4Gauss’s law and applications
- 2.5Physical significance of divergence, divergence theorem
- 2.6Electric potential, potential gradient
- 2.7Energy density in electrostatic field
- 2.8Electric properties of material medium
- 2.9Free and bound charges, polarization, relative permittivity, electric dipole electric boundary conditions
- 2.10Current, current density, conservation of charge, continuity equation, relaxation time
- 2.11Boundary value problems, Laplace and Poisson equations and their solutions, uniqueness theorem
3. Magnetic Field
- 3.1Biot‐Savart’s law
- 3.2Magnetic field intensity
- 3.3Ampere’s circuital law and its application
- 3.4Magnetic flux density
- 3.5Physical significance of curl, Stoke’s theorem
- 3.6Scalar and magnetic vector potential
- 3.7Magnetic properties of material medium
- 3.8Magnetic force, magnetic torque, magnetic moment, magnetic dipole, magnetization
- 3.9Magnetic boundary condition
4. Time Varying Fields
- 4.1Faraday’s law, transformer EMF, motional EMF
- 4.2Displacement current
- 4.3Maxwell’s equations in integral and point forms
5. Plane Waves
- 5.1Wave propagation in lossless and lossy dielectric
- 5.2Plane waves in free space, lossless dielectric, good conductor
- 5.3Power and poynting theorem average power density
- 5.4Reflection of plane wave at normal incidence
- 5.5Standing wave and SWR
- 5.6Input intrinsic impedance
6. Transmission Lines
- 6.1Transmission line equations (Taking analogy from wave equations)
- 6.2Lossless, lossy and distortionless transmission lines
- 6.3Input impedance, reflection coefficient, standing wave ratio

Examination Scheme & Marks Distribution

Evaluation Structure

Final Board Theory Exam: 60 Marks (Pass mark: 24)
Internal Assessment: 40 Marks (Pass mark: 16)
Practical / Lab Exam: 25 or 50 Marks (Continuous lab evaluation + viva, where applicable)

* This is the general current IOE 60/40 scheme; verify course-specific details in the syllabus above.

Exam Preparation Guidelines

Review the 2 available past examination papers to identify recurring patterns, core problem types, and chapter weightage.
Cross-reference key answers with official syllabus units, standard textbooks, and lecture notes.
Structure answers with labeled diagrams, concise bullet points, and highlight final answers in numerical solutions.

Authentic IOE Past Papers

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Curriculum Syllabus & Marking Scheme

Past Question Papers (PDF)

3rd-sem_Electromagnetics.pdf

Most Frequently Asked Questions

Introduction

Electric Field

Magnetic Field

Time Varying Fields

Plane Waves

Transmission Lines

Year-wise & Session-wise Exam Papers

Curriculum Syllabus & Course Topics

1. Introduction

2. Electric Field

3. Magnetic Field

4. Time Varying Fields

5. Plane Waves

6. Transmission Lines

Examination Scheme & Marks Distribution

Evaluation Structure

Exam Preparation Guidelines