Download GTU (Gujarat Technological University) BE/BTech (Bachelor of Engineering / Bachelor of Technology) 2019 Winter 4th Sem New 2140909 Field Theory Previous Question Paper
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ? IV (New) EXAMINATION ? WINTER 2019
Subject Code: 2140909 Date: 14/12/2019
Subject Name: Field Theory
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) Define scalar Field and Vector field with proper example. 03
(b) In Free Space ?? = ?? 2
?? (?? + 3) Find V and E at point (3,4,-6) 04
(c) Explain Spherical co-ordinate system. Also give expression of differential
elements in the system.
07
Q.2 (a) Write mathematical Expression of Divergence in rectangle co-ordinate
system. Explain physical meaning of Divergence.
03
(b) State and Explain Stokes? theorem. 04
(c) Derive Maxwell?s first equation as applied to the electrostatics, using
Gauss?s law.
07
OR
(c) Derive expression of electric field intensity due to an infinite line charge
over z-axis having a uniform charge density of ?? ?? C/m.
07
Q.3 (a) Explain concept of dot product and cross product. 03
(b) Explain concept of magnetic torque. 04
(c) If a particular Field is given by ,
?? = (?? + 3?? + ???? )?? ?? + (???? + 2?? + ?? )?? ?? + (4?? + ???? + 2?? )?? ?? ,
Than Find the constant a,b,c such that the Field is irrotational.
07
OR
Q.3 (a) Write Maxwell?s equations for steady field in integral and differential
form.
03
(b) Explain Electrical field as the Gradient of the electrical potential. 04
(c) Two uniform line charges of Density ?? ?? =4nC/m lie in the x=0 plane at
?? = ?4m. Find E at (4,0,10)
07
Q.4 (a) Explain Characteristics impedance and propagation constant of the
transmission line.
03
(b) Explain EMI control techniques. 04
(c) Discuss poisson?s and Laplace Equation 07
OR
Q.4 (a) Write any three equations which Shows current density-J and field
density-D are Dual.
03
(b) Explain polarization with reference to dielectrics. 04
(c) Derive equation for lossless transmission line. 07
Q.5 (a) State and explain source of EMI. 03
(b) Find the displacement current within a parallel plate capacitor where
? = 100?o, A= 0.01m
2
, d=0.05 mm and
the capacitor voltage is 100 sin (2000?t) volts.
04
(c) State and Explain Ampere Circuital Law both in integral and differential
form.
07
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1
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ? IV (New) EXAMINATION ? WINTER 2019
Subject Code: 2140909 Date: 14/12/2019
Subject Name: Field Theory
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) Define scalar Field and Vector field with proper example. 03
(b) In Free Space ?? = ?? 2
?? (?? + 3) Find V and E at point (3,4,-6) 04
(c) Explain Spherical co-ordinate system. Also give expression of differential
elements in the system.
07
Q.2 (a) Write mathematical Expression of Divergence in rectangle co-ordinate
system. Explain physical meaning of Divergence.
03
(b) State and Explain Stokes? theorem. 04
(c) Derive Maxwell?s first equation as applied to the electrostatics, using
Gauss?s law.
07
OR
(c) Derive expression of electric field intensity due to an infinite line charge
over z-axis having a uniform charge density of ?? ?? C/m.
07
Q.3 (a) Explain concept of dot product and cross product. 03
(b) Explain concept of magnetic torque. 04
(c) If a particular Field is given by ,
?? = (?? + 3?? + ???? )?? ?? + (???? + 2?? + ?? )?? ?? + (4?? + ???? + 2?? )?? ?? ,
Than Find the constant a,b,c such that the Field is irrotational.
07
OR
Q.3 (a) Write Maxwell?s equations for steady field in integral and differential
form.
03
(b) Explain Electrical field as the Gradient of the electrical potential. 04
(c) Two uniform line charges of Density ?? ?? =4nC/m lie in the x=0 plane at
?? = ?4m. Find E at (4,0,10)
07
Q.4 (a) Explain Characteristics impedance and propagation constant of the
transmission line.
03
(b) Explain EMI control techniques. 04
(c) Discuss poisson?s and Laplace Equation 07
OR
Q.4 (a) Write any three equations which Shows current density-J and field
density-D are Dual.
03
(b) Explain polarization with reference to dielectrics. 04
(c) Derive equation for lossless transmission line. 07
Q.5 (a) State and explain source of EMI. 03
(b) Find the displacement current within a parallel plate capacitor where
? = 100?o, A= 0.01m
2
, d=0.05 mm and
the capacitor voltage is 100 sin (2000?t) volts.
04
(c) State and Explain Ampere Circuital Law both in integral and differential
form.
07
2
OR
Q.5 (a) Explain Physical significance of displacement Current. 03
(b) Explain conduction current density and displacement current Density. 04
(c) The magnetic field intensity is given in certain region of space as
? ?
2
2
2
yz
xy
H a a
z
z
???
??
??
??
A/m. Find 1. H ?? 2. J 3.Use J to find
the total current passing through the surface Z= 4, 1? x ? 2, 3?y?5. In
z a
direction
07
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This post was last modified on 20 February 2020