Download GTU (Gujarat Technological University) BE/BTech (Bachelor of Engineering / Bachelor of Technology) 2019 Winter 5th Sem Old 151002 Engineering Electromagnetics Previous Question Paper
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ?V (Old) EXAMINATION ? WINTER 2019
Subject Code: 151002 Date: 04/12/2019
Subject Name: Engineering Electromagnetics
Time: 10:30 AM TO 01:00 PM Total Marks: 70
Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.
Q.1 (a) Explain Cylindrical co-ordinate system with a neat sketch giving details of their unit
vectors and point form and vector form representations.
07
(b) Define curl and give its physical interpretation. Also give relation of curl in all three
co-ordinate system.
07
Q.2 (a) State Coulomb?s law and give its mathematical expression. From that deduce
expression of electric field intensity E for point charges.
07
(b) Find Electric Field Intensity E at a point on Z-axis, due to circular ring charge with
charge density ?L C/m present in XY plane.
07
OR
(b) State and prove divergence theorem. Relate Gauss?s law with divergence theorem. 07
Q.3 (a) State & explain the Biot-Savart?s Law and derive the necessary equations of
Magnetic field Intensity H.
07
(b) A circular loop located on X
2
+ Y
2
=9, Z=0 carries a current of 10 A along ? ?.
Determine H at (0,0,4) and (0,0,-4).
07
OR
Q.3 (a) A circular current carrying loop is lying on x-y plane. Derive the equation of
Magnetic field intensity H on the axis of a circular loop. Also find H at the center
of the loop.
07
(b) Evaluate Stoke?s theorem for the field H = 6xy ?x - 3y
2
?y amp/meter if rectangular
path around the region is 2 ? x ? 5, -1 ? y ? 1 and z=0. Also find out current I.
07
Q.4 (a) Derive electrostatic Boundary conditions for Dielectric to Dielectric interface. 07
(b) Find the potential and volume charge density at P (0.5, 1.5, 1) in free space if
potential field is given as V = 6 ??z.
07
OR
Q.4 (a) A boundary exist at z=0 between two dielectric. ? r1 = 2.5 in region z<0. ?r2 = 4 in
region z>0. The electric field in the region of ?r1 is E1 = -30 ?x + 50 ?y + 70 ?z V/m.
then find out
i. Normal component of E1
ii. Tangential component of E1
iii. Angle ?1 between E1 and normal to the surface
iv. Normal component of D2
v. Tangential component of D2
vi. Angle ?2 between E2 and normal to the surface
07
(b) Define Torque. Derive the equation of Torque on a close current carrying loop
which is placed in steady magnetic field.
07
Q.5 (a) Derive Maxwell?s equations in point and Integral form for time varying fields. 07
(b) Derive the equation of Capacitance (C) and Energy stored (W) for parallel plate
capacitor.
07
OR
Q.5 (a) Explain wave propagation in free space with necessary equations. 07
(b) Derive point form of Ampere?s Circuital Law. 07
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This post was last modified on 20 February 2020