#1Repeated 1 Times[5 Marks]Introduction
Given a point $P(-2, 6, 3)$ and vector field $\vec{A} = y\hat{a}_x + (xy + z)\hat{a}_y$, express $P$ and $\vec{A}$ in cylindrical co-ordinate system; and evaluate $\vec{A}$ at $P$.
Appeared in:2082 Bhadra
ENEX 254Bachelor in Computer Engineering · Semester 42 Papers Available
Electromagnetics
Past examination question papers and complete curriculum syllabus for Electromagnetics (ENEX 254), Bachelor in Computer Engineering Semester 4 under Institute of Engineering (IOE), Tribhuvan University.
Past Question Papers (PDF)
Switch tabs to view different exam papersAvailable Papers:
4th-sem_Electromagnetics.pdf
IOE Past Examination Paper
Served via fast CDN. Read in full view or download for offline study.
Document information: This past examination paper is identified as an IOE/TU academic document and was cataloged from a public Google Drive archive. This independent website did not create the examination paper and is not affiliated with TU or IOE.
Rights holders can request correction or removal by emailing subeshgaming@gmail.com with this page URL and supporting details.
Most Frequently Asked Questions
Top recurring IOE board exam questions for Electromagnetics with verified mark schemes, formula notation, and recurrence frequency.
Showing 30 of 30 top repeated questions
Introduction
2 Questions#2Repeated 1 Times[5 Marks]Introduction
Given the points $C(-3, 2, 1)$ and $D(r = 5, \theta = 20^\circ, \phi = -70^\circ)$ express the distance vector from $C$ to $D$ in spherical co-ordinate system at $D$.
Appeared in:2083 Baishakh
Electric Field
9 Questions#1Repeated 3 Times[8 Marks]Electric Field
State Gauss's Law in integral and differential forms. Apply Gauss's Law to derive the electric field intensity $\vec{E}$ everywhere due to an infinitely long uniform line charge $\rho_L$ and a uniformly charged solid sphere of radius $a$ with total charge $Q$.
Appeared in:2083 Baishakh2082 Bhadra2080 Chaitra
#2Repeated 3 Times[8 Marks]Electric Field
State and derive Poisson's and Laplace's equations from Gauss's Law and electrostatic potential relations. Solve Laplace's equation $\nabla^2 V = 0$ in one dimension to find the potential distribution and capacitance between two infinite parallel conducting plates separated by distance $d$.
Appeared in:2083 Baishakh2081 Bhadra2078 Kartik
#3Repeated 3 Times[8 Marks]Electric Field
Derive the Boundary Conditions for electrostatic fields across the interface between two lossless dielectric media with permittivity $\epsilon_1$ and $\epsilon_2$: continuity of tangential electric field $E_{t1} = E_{t2}$ and normal displacement vector $D_{n1} - D_{n2} = \rho_s$.
Appeared in:2083 Baishakh2081 Bhadra2079 Chaitra
#4Repeated 1 Times[6 Marks]Electric Field
State Gauss's Law. A uniform line charge density of $5\text{ nC/m}$ is at $y = 0, z = 2\text{ m}$ in free space, while $-5\text{ nC/m}$ is located at $y = 0, z = -2\text{ m}$. A uniform surface charge density of $0.3\text{ nC/m}^2$ is at $y = 0.2\text{ m}$ and $-0.3\text{ nC/m}^2$ is at $y = -0.2\text{ m}$. Find $|\vec{E}|$ at the origin.
Appeared in:2083 Baishakh
#5Repeated 1 Times[6 Marks]Electric Field
State Divergence theorem. A uniform sheet of charge $\rho_s = 20\epsilon_0\text{ C/m}^2$ is located in the plane $x = 2$ in free space. A uniform line charge $\rho_L = 0.5\text{ nC/m}$ lies along the line $x = 6, y = 3$ in free space. Find the potential at point $P(4, 6, -2)$ if $V = 8\text{ V}$ at $A(2, 6, 4)$.
Appeared in:2082 Bhadra
#6Repeated 1 Times[5 Marks]Electric Field
Derive the expression for electric boundary conditions between two perfect dielectric materials.
Appeared in:2083 Baishakh
#7Repeated 1 Times[5 Marks]Electric Field
The region $y < 0$ contains a dielectric material for which $\epsilon_{r1} = 2.5$, while the region $y > 0$ is characterized by $\epsilon_{r2} = 4$. Let $\vec{E}_1 = -30\hat{a}_x + 50\hat{a}_y + 70\hat{a}_z\text{ V/m}$, find the electric field intensities, flux densities in region 2, and the angle $\theta_1$.
Appeared in:2082 Bhadra
#8Repeated 1 Times[4 Marks]Electric Field
Find the capacitance of spherical capacitor by using the solution of one-dimensional Laplace.
Appeared in:2082 Bhadra
#9Repeated 1 Times[4 Marks]Electric Field
A dipole of moment $\vec{p} = 6\hat{a}_z\text{ nC}\cdot\text{m}$ is located at the origin in free space. (a) Find $V$ at $P(r = 4, \theta = 20^\circ, \phi = 0^\circ)$, (b) Find $\vec{E}$ at $P$.
Appeared in:2083 Baishakh
Magnetic Field
5 Questions#1Repeated 3 Times[8 Marks]Magnetic Field
State the Biot-Savart Law and Ampere's Circuital Law in integral and point forms. Derive the magnetic field intensity $\vec{H}$ at the center and along the axis of a circular current loop of radius $a$ carrying steady current $I$.
Appeared in:2082 Bhadra2080 Chaitra2077 Magh
#2Repeated 3 Times[8 Marks]Magnetic Field
Derive the Boundary Conditions for magnetostatic fields across the interface between two magnetic media with permeability $\mu_1$ and $\mu_2$: continuity of normal magnetic flux density $B_{n1} = B_{n2}$ and tangential magnetic field intensity $H_{t1} - H_{t2} = K$.
Appeared in:2082 Bhadra2080 Chaitra2078 Bhadra
#3Repeated 2 Times[6 Marks]Magnetic Field
Using the concept of Vector Magnetic Potential, derive the expression for magnetic field intensity due to infinitely long filament carrying current $I$.
Appeared in:2083 Baishakh2082 Bhadra
#4Repeated 1 Times[6 Marks]Magnetic Field
State Stoke's theorem. Let $\mu_{r1} = 2$ in region 1, defined by $2x + 3y - 4z > 1$, while $\mu_{r2} = 5$ in region 2 where $2x + 3y - 4z < 1$. In region 1, $\vec{H}_1 = 50\hat{a}_x - 30\hat{a}_y + 20\hat{a}_z\text{ A/m}$. Find (a) $\vec{H}_2$ (b) $\theta_2$.
Appeared in:2082 Bhadra
#5Repeated 1 Times[6 Marks]Magnetic Field
Explain the significance of Curl with example. Evaluate both sides of Stoke's theorem for the field $\vec{H} = 4xy\hat{a}_x - 2y^2\hat{a}_y\text{ A/m}$ & the rectangular path around the region $3 \le x \le 6, -2 \le y \le 2, z = 0$. Let the positive direction of $d\vec{S}$ be $\hat{a}_z$.
Appeared in:2083 Baishakh
Time Varying Fields
4 Questions#1Repeated 3 Times[8 Marks]Time Varying Fields
Explain Faraday's Law of Electromagnetic Induction and Lenz's Law. Derive the differential Maxwell equation $\nabla \times \vec{E} = -\frac{\partial \vec{B}}{\partial t}$ accounting for both transformer EMF and motional EMF.
Appeared in:2083 Baishakh2081 Bhadra2077 Magh
#2Repeated 3 Times[8 Marks]Time Varying Fields
Explain Maxwell's modification of Ampere's Law. Define Displacement Current Density $\vec{J}_d = \frac{\partial \vec{D}}{\partial t}$. Write Maxwell's equations in both differential and integral forms for time-varying fields.
Appeared in:2083 Baishakh2082 Bhadra2080 Chaitra
#3Repeated 1 Times[6 Marks]Time Varying Fields
Explain motional emf with necessary derivations. List out the Maxwell's equations in point form for time varying fields.
Appeared in:2083 Baishakh
#4Repeated 1 Times[6 Marks]Time Varying Fields
Derive the expression for net emf in electromagnetic induction. How the equation $\nabla \times \vec{H} = \sigma \vec{E}$ changes for time varying field?
Appeared in:2082 Bhadra
Plane Waves
6 Questions#1Repeated 3 Times[8 Marks]Plane Waves
Derive the Helmholtz Wave Equations for electric and magnetic fields in a source-free lossy dielectric medium: $\nabla^2 \vec{E} - \gamma^2 \vec{E} = 0$. Define propagation constant $\gamma = \alpha + j\beta$, attenuation constant $\alpha$, phase constant $\beta$, skin depth $\delta$, and intrinsic impedance $\eta$.
Appeared in:2083 Baishakh2081 Bhadra2078 Kartik
#2Repeated 3 Times[8 Marks]Plane Waves
Define the Poynting Vector $\vec{\mathcal{P}} = \vec{E} \times \vec{H}$ and Time-Average Poynting Vector $\vec{P}_{avg} = \frac{1}{2}\text{Re}[\vec{E} \times \vec{H}^*]$. State and prove Poynting's Theorem of electromagnetic power flow and energy conservation.
Appeared in:2082 Bhadra2080 Chaitra2079 Chaitra
#3Repeated 3 Times[8 Marks]Plane Waves
Define Polarization of electromagnetic plane waves. Distinguish between Linear, Circular (Left-Hand and Right-Hand), and Elliptical Polarization with mathematical conditions on amplitudes ($E_{0x}, E_{0y}$) and phase angle difference ($\delta$).
Appeared in:2083 Baishakh2081 Bhadra2077 Magh
#4Repeated 3 Times[8 Marks]Plane Waves
Explain Normal and Oblique Incidence of uniform plane waves on a plane dielectric boundary. State Snell's Laws of Reflection and Refraction, and derive Brewster's Angle $\theta_B = \arctan\sqrt{\frac{\epsilon_2}{\epsilon_1}}$ for parallel polarization.
Appeared in:2082 Bhadra2080 Chaitra2078 Bhadra
#5Repeated 1 Times[6 Marks]Plane Waves
Explain uniform plane wave. Derive the equation of EM wave when travelling in Lossy dielectric medium.
Appeared in:2083 Baishakh
#6Repeated 1 Times[6 Marks]Plane Waves
Define Poynting vector. Derive the expression for average power density when wave propagating in Lossy dielectric.
Appeared in:2082 Bhadra
Transmission Lines
4 Questions#1Repeated 3 Times[8 Marks]Transmission Lines
Derive the Transmission Line Wave Equations from the lumped-element equivalent circuit ($R, L, G, C$). Derive the characteristic impedance $Z_0 = \sqrt{\frac{R + j\omega L}{G + j\omega C}}$ and propagation constant $\gamma$. For a lossless line, show $Z_0 = \sqrt{L/C}$ and velocity $v = \frac{1}{\sqrt{LC}}$.
Appeared in:2083 Baishakh2081 Bhadra2079 Chaitra
#2Repeated 3 Times[8 Marks]Transmission Lines
Define Voltage Standing Wave Ratio ($VSWR = \frac{1 + |\Gamma|}{1 - |\Gamma|}$) and Voltage Reflection Coefficient ($\Gamma = \frac{Z_L - Z_0}{Z_L + Z_0}$). Explain Quarter-Wave Transformer impedance matching ($Z_0' = \sqrt{Z_0 Z_L}$) on a lossless transmission line.
Appeared in:2083 Baishakh2082 Bhadra2080 Chaitra
#3Repeated 1 Times[4 Marks]Transmission Lines
A distortionless line has the characteristic impedance of $50\,\Omega$, the attenuation constant of $22\text{ mNp/m}$ and the phase velocity of $2 \times 10^8\text{ m/s}$. Determine the line parameters $R, L, C$ and $G$ at $300\text{ MHz}$.
Appeared in:2083 Baishakh
#4Repeated 1 Times[5 Marks]Transmission Lines
The parameters of a certain transmission line operating at $6 \times 10^8\text{ rad/s}$ are $L = 0.4\ \mu\text{H/m}$, $C = 40\text{ pF/m}$, $G = 80\text{ mS/m}$, and $R = 20\ \Omega\text{/m}$. Find $\gamma, \alpha, \beta$ and $Z_0$.
Appeared in:2082 Bhadra
Curriculum Syllabus & Course Topics
Sourced from TU curriculum portalChapter-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.
Frequently Asked Questions (Electromagnetics)
Q: How can I download Electromagnetics past question papers?
You can preview or download the Electromagnetics question papers (PDF) directly using the built-in viewer on this page with zero redirects or paywalls.
Q: What is the pass mark for Electromagnetics?
The general current scheme is a 60-mark final theory exam and a 40-mark internal assessment, with pass marks of 24 and 16. Verify the course-specific syllabus above.
Q: Where can I find the complete syllabus for this subject?
The available chapter-wise syllabus and topic breakdown is indexed in the Syllabus section above, with links to the curriculum PDF source.
Authentic IOE Past Papers
Free Direct PDF Download
Curriculum Syllabus & Marking Scheme