Gujarat Technological UniversitySummer 2026 examination

GTU 3140912 Electromagnetic Fields Summer 2026 Question Paper & PDF

B.E. · Electrical Engineering · Semester 4 · Subject code 3140912
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Total
70 marks
To pass
23 marks (33%)
Duration
2.5 Hours 10:30 AM – 1:00 PM
Questions
5 with internal choice
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Q.1

14 Marks
(a)
3 marks

Explain cross product of vectors. What will be the direction of resultant vector when cross product is done?

(b)
4 marks

Given vectors A = 3ax + 4ay + az and B = 2ay – 5az, find the angle between A and B using

i)dot product
ii)cross product
(c)
7 marks
Explain cylindrical and spherical coordinate system

Q.2

14 Marks
(a)
3 marks

State and explain Coulomb’s law and hence define electric field intensity ‘E’. Explain how the principle of superposition can be applied to find ‘E’ due to multiple point charges?

(b)
4 marks

Planes x = 2 and y = -3 respectively carry charge densities of 10 nC/m² and 15 nC/m². If the line x = 0, z = 2 carries charge of 10π nC/m, calculate E at (1,1,-1) due to all the three charge distributions

(c)
7 marks

Derive the expression for electric field intensity due to infinite sheet charge

(c)
7 marks

Two concentric circular cylinders having radius ρ = ‘a’ and ρ = ‘b’ (a < b) lie on the z = 0 plane. The inner cylinder has a charge distribution of ρs on the outer surface of the inner cylinder. Use Gauss’ law to find D in all the regions

Q.3

14 Marks
(a)
3 marks

Define electric flux and electric flux density. What is the relationship between ‘D’ and ‘E’?

(b)
4 marks

Find volume charge density ρv if electric flux density ‘D’ is given by D = e-xsiny ax – e-xcosy ay + 2z az

(c)
7 marks

What is potential gradient? Prove that electric field intensity is given by E = -grad V

(a)
3 marks

State the difference between conservative and non- conservative fields. Is ∮ 𝐸 ∙ 𝑑𝐿 = 0 in a non-conservative field? Comment

(b)
4 marks

What is an electric dipole? Explain how electric and potential fields vary with distance ‘r’ from the dipole centre?

(c)
7 marks

Derive continuity equation. Also state the point form of Ohm’s law

Q.4

14 Marks
(a)
3 marks

An aluminium conductor is 1000 feet long has a circular cross section. If a d.c. voltage of 1.2 V is applied between the ends find ‘E and ‘J’ (1 feet = 0.3048 metres, σ = 3.82 ×107 mhos/m for aluminium)

(b)
4 marks
Explain the phenomena of polarization in dielectrics
(c)
7 marks

Derive Poisson’s and Laplace’s equation. Also state the expression for Laplace’s equation in cylindrical and spherical coordinate system

(a)
3 marks

Explain Stoke’s theorem. Discuss how it gives the relationship between line integral and surface integral

(b)
4 marks

Discuss Ampere’s circuital law. Explain how one can find the value of magnetic field intensity at various locations in a co- axial cable

(c)
7 marks
State and explain uniqueness theorem.

Q.5

14 Marks
(a)
3 marks
State and explain Lorentz force equation
(b)
4 marks

Explain magnetic boundary conditions for two magnetic materials having permeabilities μ1 and μ2

(c)
7 marks
What is curl? Prove that for a steady magnetic field ∇ × H = J
(a)
3 marks

State the difference between ferromagnetic, paramagnetic and diamagnetic materials

(b)
4 marks

Explain the meaning of displacement current Id and displacement current density Jd?

(c)
7 marks
Discuss Maxwell’s equations in integral form and point form

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About this paper

Official Gujarat Technological University (GTU) examination paper for Electromagnetic Fields (Summer 2026, B.E. · Electrical Engineering, Sem 4). Features complete 70-mark regular & remedial examination pattern, official marking distribution across all 5 questions, and direct 1-click official PDF download.

Transcribed for student exam preparation from Gujarat Technological University official examination archives. Questions, syllabus guidelines, and curriculum marking schemes remain the intellectual property of Gujarat Technological University.

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