B.TechSemester 32021-22Electromagnetic Field TheoryKEE301
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Electromagnetic Field Theory (KEE301) - AKTU Question Paper 2021-22

B.Tech · Semester 3 · Free PDF Download

This is the official AKTU Electromagnetic Field Theory Previous Year Question Paper for B.Tech Semester 3, academic session 2021-22. Published by Dr. A.P.J. Abdul Kalam Technical University (AKTU/UPTU), Lucknow. Free PDF download — no login required.

Course:B.Tech
Semester:Semester 3
Session:2021-22
University:AKTU / UPTU

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Questions Asked in 2021-22

Electromagnetic Field Theory (KEE301) — extracted question text

Section AAttempt all questions in brief. 2 x 10 = 20
  • a
    Find the value of (3 𝑎ො௫൅6 𝑎ො௬)X (2 𝑎ො௫൅3 𝑎ො௬൅5 𝑎ො௭), where X denotes cross product
  • b
    Find the unit vector of the vector 𝐴⃗ = (7 𝑎ො௫൅2 𝑎ො௬൅8 𝑎ො௭). 2 1
  • c
    Explain Electric Field Intensity. 2 2
  • d
    Prove that 𝐄ሬ⃗ = - grad V, where E is Electric Field Intensity and V is Electric Potential
  • e
    Prove that curl 𝐴⃗=0, if 𝐴⃗= (yz 𝑎ො௫൅zx 𝑎ො௬൅xy 𝑎ො௭). 2 3
  • f
    Narrate the concept of electric dipole moment. 2 3
  • g
    Explain the term ‘Inductance.’ 2 4
  • h
    Explain the concept of Magnetic Flux Density. 2 4 i. Explain the physical significance of Poynting vector. 2 5 j. Explain the reflection of a plain wave in a normal incidence. 2 5
Section BAttempt any three of the following: 3 x 10 = 30
  • a
    Given that 𝐴⃗ൌቀହ௥మ ସቁ𝑎ො௥ is in spherical coordinates, solve both sides of the divergence theorem for the volume enclosed by r = 4m, and 𝜃ൌగ shown in below figure
  • b
    Derive the mathematical expression for energy stored in electric field. If Vൌyxଶ൅zx൅xy V, Do the analysis of E at (2, 3, 7) and the electrostatic energy stored in a cube of side 4m centered at origin
  • c
    Explain Biot-Savart’s Law. Find the magnetic field intensity for infinite line current
  • d
    Explain the ampere circuital law. Derive two applications of ampere circuital law. Also, derive modified maxwell’s equations
  • e
    Derive the mathematical equation for Poynting vector. 10 5
Section CAttempt any one part of the following: 1 x 10 = 10
  • a
    Investigate the values of X, Y, and Z. If 𝐴⃗= (2 𝑎ො௫൅4 𝑎ො௬൅5 𝑎ො௭) is transformed
  • b
    Derive the Poisson’s and Laplace equation in all coordinate systems. 10 1
  • a
    Point charges 1 mC and – 2 mC are located at (3, 2, –1) and (-1, -1, 4), respectively. Calculate the electric force on a 10 nC charge located at (0, 3, 1) and the electric field intensity at that point
  • b
    Given the potential 𝑉ൌହ଺଴ ଷ௥మ sin2θ cosϕ, Find the electric flux density D at (2, 900, 0). Also calculate the work done in moving a 10 µC charge from point A (1, 300, 1200) to B (2, 600
  • a
    Explain convection and conduction currents. Derive mathematical equations also. Also derive the magnetic vector potential
  • b
    What is magnetic dipole? Find magnetic vector potential. Explain the complete Magnetic boundary conditions. Derive all tangential and normal components
  • a
    Explain transformer and motional electromotive forces with necessary mathematical expressions. If vector 𝐀ൌyxଶ𝐚𝐱൅zx 𝐚𝐲൅xy 𝐚𝐳 is expressed as, where ax, ay, and az are the unit vectors. Find the vector
  • b
    A charged particle of mass 2 kg and charge 3 C starts at point (1, -2, 0) with velocity 4 ax +3 az m/s in an electric field 12 ax +10 ay V/m. At time t=1 sec, determine- the acceleration of the particle, its velocity, kinetic energy of the particles and its position
  • a
    Explain uniform plane wave. Derive uniform plane waves in lossless dielectrics. What is skin effect? Explain the Smith chart in detail
  • b
    What is transmission line. Derive all the supporting mathematical equations of the transmission line

Question text is extracted from the official AKTU question paper PDF above. Check the original PDF for equations, diagrams and complete wording. Extracted: 2026-08-23.

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