Download GTU BE/B.Tech 2019 Summer 5th Sem Old 151002 Engineering Electromagnetics Question Paper

Download GTU (Gujarat Technological University) BE/BTech (Bachelor of Engineering / Bachelor of Technology) 2019 Summer 5th Sem Old 151002 Engineering Electromagnetics Previous Question Paper

1
Seat No.: ________ Enrolment No.___________

GUJARAT TECHNOLOGICAL UNIVERSITY

BE - SEMESTER ? V (OLD) EXAMINATION ? SUMMER 2019
Subject Code: 151002 Date: 31/05/2019

Subject Name: Engineering Electromagnetics

Time: 02:30 PM TO 05:00 PM Total Marks: 70

Instructions:

1. Attemt all questions.

2. Make suitable assumptions wherever necessary.

3. Figures to the right indicate full marks.

Q.1 (a) Define Coulomb?s law. Derive the expression for the intensity of electric field
due to a line charge along the Z direction with uniform charge density ? L c/m.
07
(b) State and prove Uniqueness theorem. 07

Q.2 (a) Derive the expression of gradient of scalar field in all the systems and list
computational formulas on gradient.
07
(b) Given point P(-2,6,3) and vector A= yax + (x + z)ay, express P in cylindrical
and Spherical coordinates. Evaluate A at P in the Cartesian and Cylindrical systems.
07
OR
(b) Determine the divergence of these vector fields.
i) P = x
2
yz ax + x z az
ii) Q = ? sin? a? + ?
2
z a ? + z cos? az
iii) T = 1/r
2
cos? ar + r sin? cos? a? + cos? a ?
07

Q.3 (a) Define electric dipole. Derive expression for electric field intensity at point ?P?
at distance ?r? from center of dipole at origin along Z axis
07
(b) Describe the electric boundary condition between free space and conductor.
Explain the importance of boundary condition.
07
OR
Q.3 (a) Write Maxwell?s equation in point and integral form, also explain its
significance.
07
(b) Derive Poisson?s and Laplace?s equations and states their applications. 07

Q.4 (a) State Ampere?s circuit law and derive the expression for curl of magnetic field
intensity.
07
(b) State and derive Biot- Savart?s law 07
OR
Q.4 (a) Using Ampere?s circuit law, derive an expression for H due to infinite sheet of
current.
07
(b) Explain Faraday?s law in detail with neat diagram. 07

Q.5 (a) Define lossy dielectric medium. Derive expression for attenuation constant and
phase constant for the same.
07
(b) A parallel plate capacitor with plate area of 5 cm
2
and plate separation of 3mm
has a voltage of 50 sin10
3
t V applied to its plates. Calculate the displacement
current assuming ? = 2?0.
07
OR

Q.5 (a) State and derive Poynting?s theorem. 07
(b) In a nonmagnetic medium
E= 4 sin(2? X 10
7
t ? 0.8x) a z V/m
Find
1) ?r , ?
2) The time average power carried by the wave.
3) The total power crossing 100 cm
2
of plane 2x + y =5

07

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