Q.1
14 MarksExplain cross product of vectors. What will be the direction of resultant vector when cross product is done?
Given vectors A = 3ax + 4ay + az and B = 2ay – 5az, find the angle between A and B using
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Explain cross product of vectors. What will be the direction of resultant vector when cross product is done?
Given vectors A = 3ax + 4ay + az and B = 2ay – 5az, find the angle between A and B using
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?
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
Derive the expression for electric field intensity due to infinite sheet charge
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
Define electric flux and electric flux density. What is the relationship between ‘D’ and ‘E’?
Find volume charge density ρv if electric flux density ‘D’ is given by D = e-xsiny ax – e-xcosy ay + 2z az
What is potential gradient? Prove that electric field intensity is given by E = -grad V
State the difference between conservative and non- conservative fields. Is ∮ 𝐸 ∙ 𝑑𝐿 = 0 in a non-conservative field? Comment
What is an electric dipole? Explain how electric and potential fields vary with distance ‘r’ from the dipole centre?
Derive continuity equation. Also state the point form of Ohm’s law
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)
Derive Poisson’s and Laplace’s equation. Also state the expression for Laplace’s equation in cylindrical and spherical coordinate system
Explain Stoke’s theorem. Discuss how it gives the relationship between line integral and surface integral
Discuss Ampere’s circuital law. Explain how one can find the value of magnetic field intensity at various locations in a co- axial cable
Explain magnetic boundary conditions for two magnetic materials having permeabilities μ1 and μ2
State the difference between ferromagnetic, paramagnetic and diamagnetic materials
Explain the meaning of displacement current Id and displacement current density Jd?
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BE Electrical
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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.
3140912 Electromagnetic Fields
Official GTU PDF · Summer 2026
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