Download GTU BE/B.Tech 2019 Summer 6th Sem New 2163203 Engineering Electromagnetics And Wave Propagation Question Paper

Download GTU (Gujarat Technological University) BE/BTech (Bachelor of Engineering / Bachelor of Technology) 2019 Summer 6th Sem New 2163203 Engineering Electromagnetics And Wave Propagation Previous Question Paper

1
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ?VI(NEW) ? EXAMINATION ? SUMMER 2019
Subject Code:2163203 Date:14/05/2019
Subject Name:Engineering Electromagnetics And Wave Propagation
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 cross product. 03
(b) Explain spherical coordinate systems. 04
(c) (i) Transform the vector B = yax ? xay + zaz into cylindrical coordinates.
(ii) Transform vector field G = (xz/y)ax into spherical components and
variables.

07

Q.2 (a) State Coulomb?s law. 03
(b) Find electric field intensity due to infinite line with uniform line charge
density ?l which lies on the z-axis.
04
(c) Given the field D = 6 ? sin (? /2) a?+ 1.5 ? cos (? /2) a? C/m2. Evaluate both
sides of the divergence theorem for the region bounded by ?= 2, 0 < ? < 180?,
0 < z < 5.
07
OR
(c) Find the total charge inside each of the volumes indicated.
(a) ?v = 10 Z
2
e
-0.1x
sin?y, -1 < x < 2, 0 < y < 1,3 < z < 3.6.

(b) ?v = 4xy Z
2
, 0 < ? < 2, 0 (c) ?v = 3? cos
2
? cos
2
? / [2r
2
(r
2
+1)]; Universe.

07
Q.3 (a) What do you mean by equipotential surface? Derive the expression of
potential gradient.
03
(b) Derive the expression of following capacitor: 1) coaxial 2) Spherical. 04
(c) Write short note on magnetic boundary conditions . 07
OR
Q.3 (a) Explain electric dipole . 03
(b) Write short note on boundary condition for perfect dielectric. 04
(c) Prove that ? .D =?v 07
Q.4 (a) What are the characteristics of good conductor? 03
(b) State and explain Stoke?s theorem. 04
(c) An electric field is expressed in rectangular coordinates by E = 6x
2
ax + 6y ay + 4 az
V/m for points M (2, 6, -1) & N (-3, -3, 2). Determine potential a) V MN
b) V N if V = 2 at P(1, 2, -4)
07
OR
Q.4 (a) Explain ampere?s circuital law. 03
(b) Let V = 2xy
2
z
3
+ 3 ln (x
2
+ 2y
2
+ 3z
2
) V in free space. Evaluate each of the
following quantities at P(3, 2,? 1): a) V b) |V | and c) E.
04
(c) Explain Point and integral form of Maxwell?s Equations . 07
Q.5 (a) Define skin effect. 03
(b) Derive Poission?s and Laplace?s equation. 04
(c) Verify Stoke?s theorem for the field H = 6xyax ? 3y
2
ay and the rectangular
path around the region 2 ? x ?5, -1 ? y ?1 and z = 0. Let the positive direction
of ds be az.
07
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1
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ?VI(NEW) ? EXAMINATION ? SUMMER 2019
Subject Code:2163203 Date:14/05/2019
Subject Name:Engineering Electromagnetics And Wave Propagation
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 cross product. 03
(b) Explain spherical coordinate systems. 04
(c) (i) Transform the vector B = yax ? xay + zaz into cylindrical coordinates.
(ii) Transform vector field G = (xz/y)ax into spherical components and
variables.

07

Q.2 (a) State Coulomb?s law. 03
(b) Find electric field intensity due to infinite line with uniform line charge
density ?l which lies on the z-axis.
04
(c) Given the field D = 6 ? sin (? /2) a?+ 1.5 ? cos (? /2) a? C/m2. Evaluate both
sides of the divergence theorem for the region bounded by ?= 2, 0 < ? < 180?,
0 < z < 5.
07
OR
(c) Find the total charge inside each of the volumes indicated.
(a) ?v = 10 Z
2
e
-0.1x
sin?y, -1 < x < 2, 0 < y < 1,3 < z < 3.6.

(b) ?v = 4xy Z
2
, 0 < ? < 2, 0 (c) ?v = 3? cos
2
? cos
2
? / [2r
2
(r
2
+1)]; Universe.

07
Q.3 (a) What do you mean by equipotential surface? Derive the expression of
potential gradient.
03
(b) Derive the expression of following capacitor: 1) coaxial 2) Spherical. 04
(c) Write short note on magnetic boundary conditions . 07
OR
Q.3 (a) Explain electric dipole . 03
(b) Write short note on boundary condition for perfect dielectric. 04
(c) Prove that ? .D =?v 07
Q.4 (a) What are the characteristics of good conductor? 03
(b) State and explain Stoke?s theorem. 04
(c) An electric field is expressed in rectangular coordinates by E = 6x
2
ax + 6y ay + 4 az
V/m for points M (2, 6, -1) & N (-3, -3, 2). Determine potential a) V MN
b) V N if V = 2 at P(1, 2, -4)
07
OR
Q.4 (a) Explain ampere?s circuital law. 03
(b) Let V = 2xy
2
z
3
+ 3 ln (x
2
+ 2y
2
+ 3z
2
) V in free space. Evaluate each of the
following quantities at P(3, 2,? 1): a) V b) |V | and c) E.
04
(c) Explain Point and integral form of Maxwell?s Equations . 07
Q.5 (a) Define skin effect. 03
(b) Derive Poission?s and Laplace?s equation. 04
(c) Verify Stoke?s theorem for the field H = 6xyax ? 3y
2
ay and the rectangular
path around the region 2 ? x ?5, -1 ? y ?1 and z = 0. Let the positive direction
of ds be az.
07
2

OR

Q.5 (a) Explain faraday?s law of EM induction . 03
(b) Explain Wave motion in free space . 04
(c) State and prove Poynting theorem relating to the flow of energy at a point in
space in an electromagnetic field.
07

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