Download GTU (Gujarat Technological University) BE/BTech (Bachelor of Engineering / Bachelor of Technology) 2018 Winter 5th Sem New 2151002 Engineering Electromagnetics Previous Question Paper
1
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ?V (NEW) EXAMINATION ? WINTER 2018
Subject Code:2151002 Date:27/11/2018
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.
MARKS
Q.1 (a) If three vertices of a triangle are p (6, -1, 2), q (-2, 3, -4) and r (-3, 1, 5) then
determine : (a) Rpq.Rpr, (b) Rpq ? Rpr , (c) area of the triangle
03
(b) Explain Cylindrical co-ordinate system with unit vectors, differential lengths,
areas and volume.
04
(c) Two infinite uniform line charges of 5 nC/m, lie along the positive and
negative x and y axes in free space respectively. Find E at point P(0,0,4).
07
Q.2 (a) State and explain Coulomb's law and get its vector notation.
03
(b) Calculate the total charge enclosed within the volume defined by the universe
with ?V = e
-2r
/r
2
.
04
(c) Define electric field intensity (E) and write the equation of E due to a point
charge and explain system of super position of charges.
07
OR
(c) Explain boundary conditions at conductor-free space interface.
07
Q.3 (a) Briefly discuss stream lines.
03
(b) Which are the different types of charge distributions? Hence define ?L , ?S &
?V .
04
(c) Derive expression of Electric field due to infinite uniform sheet charge lying
along Y-Z plane.
07
OR
Q.3 (a) Calculate electric flux density at point P(2,-3,6) produced by a point charge
QA=55 mille Coulombs located at Q(-2,3,-6).
03
(b) State and prove divergence theorem as, ?s D. dS = ?v ( ? ? D) dv
04
(c) State and explain Gauss's law and its applications for symmetrical charge
distributions.
07
Q.4 (a) Define potential difference and potential of a point.
03
(b) Derive Poisson's and Laplace's equations.
04
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1
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ?V (NEW) EXAMINATION ? WINTER 2018
Subject Code:2151002 Date:27/11/2018
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.
MARKS
Q.1 (a) If three vertices of a triangle are p (6, -1, 2), q (-2, 3, -4) and r (-3, 1, 5) then
determine : (a) Rpq.Rpr, (b) Rpq ? Rpr , (c) area of the triangle
03
(b) Explain Cylindrical co-ordinate system with unit vectors, differential lengths,
areas and volume.
04
(c) Two infinite uniform line charges of 5 nC/m, lie along the positive and
negative x and y axes in free space respectively. Find E at point P(0,0,4).
07
Q.2 (a) State and explain Coulomb's law and get its vector notation.
03
(b) Calculate the total charge enclosed within the volume defined by the universe
with ?V = e
-2r
/r
2
.
04
(c) Define electric field intensity (E) and write the equation of E due to a point
charge and explain system of super position of charges.
07
OR
(c) Explain boundary conditions at conductor-free space interface.
07
Q.3 (a) Briefly discuss stream lines.
03
(b) Which are the different types of charge distributions? Hence define ?L , ?S &
?V .
04
(c) Derive expression of Electric field due to infinite uniform sheet charge lying
along Y-Z plane.
07
OR
Q.3 (a) Calculate electric flux density at point P(2,-3,6) produced by a point charge
QA=55 mille Coulombs located at Q(-2,3,-6).
03
(b) State and prove divergence theorem as, ?s D. dS = ?v ( ? ? D) dv
04
(c) State and explain Gauss's law and its applications for symmetrical charge
distributions.
07
Q.4 (a) Define potential difference and potential of a point.
03
(b) Derive Poisson's and Laplace's equations.
04
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2
(c) Derive the incremental work done in moving a point charge in an electric
field and briefly explain line integral.
07
OR
Q.4 (a) Define : magnetic flux density, scalar magnetic potential, vector magnetic
potential,
03
(b) Describe boundary conditions for perfect dielectric-dielectric interface.
04
(c) Define and discuss Curl with necessary equations & derive point form of
Amperes' law as ? ? H = J.
07
Q.5 (a) Explain displacement current and retarded potential.
03
(b) State and explain Biot-Savart's law.
04
(c) Write down the Maxwell equation in integral and differential form and
explain its physical significance.
07
OR
Q.5 (a) Define: polarization, magnetization, poynting vector.
03
(b) Discuss boundary conditions for magnetic materials
04
(c) Magnetic field intensity H = 6xy ax ? 3y
2
ay. Verify stokes theorem for region
2 <= x <= 5, -1 <= y <= 1 and z = 0. Let the positive direction of dS be az.
07
*******
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This post was last modified on 20 February 2020