Gujarat Technological UniversitySummer 2025 examination

GTU 3140912 Electromagnetic Fields Summer 2025 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 dot product and cross product of two vectors.
(b)
4 marks

Explain Electric Flux density and its relationship with electric field intensity.

(c)
7 marks

Explain spherical coordinate system and give its relationship with Cartesian coordinate system.

Q.2

14 Marks
(a)
3 marks
State and explain Gauss’s law. Also write limitations of Gauss’s law.
(b)
4 marks

State and Explain various types of charge distribution with mathematical equation.

(c)
7 marks

Derive the expression for 𝐸 at point P on the axis of charged circular ring, carrying a charge uniformly along its circumference with density ρL

(c)
7 marks

A positively charged circular ring with ρL = 10 nC/m having radius of 5m lies on z = 0 plane with its centre at origin. Find 𝐸 at point (0, 0,

5)and also find the value of a point charge Q which will produce the same E at a point (0, 0,
5)m.

Q.3

14 Marks
(a)
3 marks
Explain Physical meaning of divergence and state its properties.
(b)
4 marks

Verify that the potential field given below satisfies the Laplace’s equation. V=2𝑥2-3𝑦2+𝑧2

(c)
7 marks

Define potential difference and potential gradient. Also Establish relation between Electrical field and potential gradient.

(a)
3 marks
Derive the relation between I and J.
(b)
4 marks
Derive Poisson’s and Laplace’s equation.
(c)
7 marks

Explain Electrical dipole. Derive the expression for E and V at any distant point from dipole.

Q.4

14 Marks
(a)
3 marks
Explain magnetization and polarization.
(b)
4 marks

State and Explain Ampere circuit law, both in integral and differential form as used in magnetic field.

(c)
7 marks
State and Explain Lorentz force equation on charged particles.
(a)
3 marks
Explain scalar and vector magnetic potentials.
(b)
4 marks
Explain force between two differential current elements.
(c)
7 marks

Obtain the Expression for field intensity H at the centre of a circular carrying current I, using Biot-Savart law.

Q.5

14 Marks
(a)
3 marks

Define curl and write significance to decide types of field on bases of curl.

(b)
4 marks
State and explain Stoke’s Theorem with its mathematical expression.
(c)
7 marks
Explain the terms conduction current density and displacement current

density.

(a)
3 marks
Classify magnetic materials.
(b)
4 marks
Discuss inductance. Explain self-inductance and mutual inductance.
(c)
7 marks

State Maxwell’s equation in point form and integral form for static electromagnetic field.

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About this paper

Official Gujarat Technological University (GTU) examination paper for Electromagnetic Fields (Summer 2025, 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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