Download GTU (Gujarat Technological University) BE/BTech (Bachelor of Engineering / Bachelor of Technology) 2019 Winter 6th Sem New 2163203 Engineering Electromagnetics And Wave Propagation Previous Question Paper
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ? VI (New) EXAMINATION ? WINTER 2019
Subject Code: 2163203 Date: 06/12/2019
Subject Name: Engineering Electromagnetics And Wave Propagation
Time: 02:30 PM TO 05:00 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) What are the Coordinate systems used in Electromagnetic
Engineering. Explain any one Coordinate System in Brief.
03
(b) The three vertices of a triangle are located at A(6,-1,2), B(-2,3,-4),
and C(-3,1,5). Find (a) R AB (b) R AC (c) The angle ?BAC at vertex A
04
(c) Derive Maxwell?s four equations in Integral and Point form. 07
Q.2 (a) Calculate the Electric force on a 10 nC charge located at (0, 3, 1) due
to Point charges of 1 mC located at (3, 2,-1)
03
(b) State and Prove the Gauss?s law. 04
(c) Derive the expression for the Electric Field intensity E due to infinite
line of charge having a uniform density of ?l C/m
2
07
OR
(c) Define Current and Current Density and Derive Continuity of
Current Equation.
07
Q.3 (a) A uniform line charge of 10 nC/m is lying along z ?axis. Find E and
D at r =3m.
03
(b) Explain Hall voltage & Hall effect and mention its uses. 04
(c) State Ampere?s Circuital law & Derive the expression for Curl of
Magnetic field intensity
07
OR
Q.3 (a) Write down short notes on Isolated Spherical Capacitor. 03
(b) State and Prove Stoke?s Theorem with necessary Equation. 04
(c) Define Lorentz Force Equation. The point charge Q = 18 nC has a
velocity 5 * 10
6
m/s in the direction av = 0.60 ax + 0.75 ay + 0.30 az.
Calculate the magnitude of the force exerted on the charge by the
field (i) B = -3 ax + 4ay + 6 az mT (ii) E = -3 ax + 4ay + 6 az kV/m
(iii) B and E acting together
07
Q.4 (a) Find out relationship between E and V. 03
(b) Explain Faraday?s law of EM induction and direction of e.m.f 04
(c) Prove that for a differential current loop which carries current I in a
given magnetic field B, the torque on loop is given by dT = dm? B
07
OR
Q.4 (a) Evaluate a Poisson?s and Laplace?s Equations. 03
(b) Determine volume charge density ?v associated with electric Flux
Density D = 4xy/z ax + 2x
2
/z ay ? 2x
2
y/z
2
az
04
(c) Write the property of Conductor and Determine boundary conditions
at a boundary between a conductor and free space
07
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Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ? VI (New) EXAMINATION ? WINTER 2019
Subject Code: 2163203 Date: 06/12/2019
Subject Name: Engineering Electromagnetics And Wave Propagation
Time: 02:30 PM TO 05:00 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) What are the Coordinate systems used in Electromagnetic
Engineering. Explain any one Coordinate System in Brief.
03
(b) The three vertices of a triangle are located at A(6,-1,2), B(-2,3,-4),
and C(-3,1,5). Find (a) R AB (b) R AC (c) The angle ?BAC at vertex A
04
(c) Derive Maxwell?s four equations in Integral and Point form. 07
Q.2 (a) Calculate the Electric force on a 10 nC charge located at (0, 3, 1) due
to Point charges of 1 mC located at (3, 2,-1)
03
(b) State and Prove the Gauss?s law. 04
(c) Derive the expression for the Electric Field intensity E due to infinite
line of charge having a uniform density of ?l C/m
2
07
OR
(c) Define Current and Current Density and Derive Continuity of
Current Equation.
07
Q.3 (a) A uniform line charge of 10 nC/m is lying along z ?axis. Find E and
D at r =3m.
03
(b) Explain Hall voltage & Hall effect and mention its uses. 04
(c) State Ampere?s Circuital law & Derive the expression for Curl of
Magnetic field intensity
07
OR
Q.3 (a) Write down short notes on Isolated Spherical Capacitor. 03
(b) State and Prove Stoke?s Theorem with necessary Equation. 04
(c) Define Lorentz Force Equation. The point charge Q = 18 nC has a
velocity 5 * 10
6
m/s in the direction av = 0.60 ax + 0.75 ay + 0.30 az.
Calculate the magnitude of the force exerted on the charge by the
field (i) B = -3 ax + 4ay + 6 az mT (ii) E = -3 ax + 4ay + 6 az kV/m
(iii) B and E acting together
07
Q.4 (a) Find out relationship between E and V. 03
(b) Explain Faraday?s law of EM induction and direction of e.m.f 04
(c) Prove that for a differential current loop which carries current I in a
given magnetic field B, the torque on loop is given by dT = dm? B
07
OR
Q.4 (a) Evaluate a Poisson?s and Laplace?s Equations. 03
(b) Determine volume charge density ?v associated with electric Flux
Density D = 4xy/z ax + 2x
2
/z ay ? 2x
2
y/z
2
az
04
(c) Write the property of Conductor and Determine boundary conditions
at a boundary between a conductor and free space
07
2
Q.5 (a) Define Poyting Vector and Explain its Significance with necessary
Equation.
03
(b) Write a short note on nature of Magnetic Materials. 04
(c) What do you mean by Electric Dipole? Derive the expression for
Electric field intensity E at due to the Electric Dipole.
07
OR
Q.5 (a) Write a short note on polarization of waves. 03
(b) State and Explain Uniqueness theorem 04
(c) Given the electric flux density, D = 0.3r
2
ar nC/m
2
in free space:
(i) Find E at point P(r = 2, ? = 25
o
, ? = 90
o
);
(ii) Find the total charge within the sphere r = 3;
(iii) Find the total electric flux leaving the sphere r = 4
07
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This post was last modified on 20 February 2020