Download AKTU B-Tech 5th Sem 2017-2018 NEC508 Fundamentals Of Electromagnetic Theory Question Paper

Download AKTU (Dr. A.P.J. Abdul Kalam Technical University (AKTU), formerly Uttar Pradesh Technical University (UPTU) B-Tech 5th Semester (Fifth Semester) 2017-2018 NEC508 Fundamentals Of Electromagnetic Theory Question Paper

Printed pages: 02 Sub Code: NEC508
Paper Id: 3030 Roll No. |
B.TECH.
(SEM V) THEORY EXAMINATION 2017-18
FUNDAMENTALS OF ELECTROMAGNETIC THEORY
T ime: 3 Hours T otal Marks: 100
Note: 1. Attempt all Sections. If require any missing data; then choose suitably.
SECTION A
1. Attempt all questions in brief. 2 x10 = 20
21) Given Vector A= 5ax-22|y+az F ind the expression of a unit vector as such that an is parallel to
Vector A.
b) Explain Faraday?s Law.
0) Define electric dipole moment.
(1) What are dielectrics? Brie?y explain its types.
e) State and explain Coulomb?s inverse square law in electrostatics. What is the direction of
electrical force between two point charges?
i) What are the types of magnet? State the properties of magnetic ?ux lines. Use suitable diagrams
if required.
g) What is loss Tangent? Define loss angle.
h) What is Displacement current?
1) Write the expressions for energy stored in a magnetic ?eld?
j) Write the expression for transformer?s EMF.
SECTION B
2. Attempt any three of the following: 10 x 3 = 30
a) Use spherical coordinate to find the area of part of the sphere marked 1 and 2 in figure
given below. Dimensions are marked in diagram.
b) Explain and derive the electrostatic boundary conditions for conductor?free space
interface.
0) State and explain Biot-Savart?s law. Derive a relation for the force between two
conductors carrying currents 11 and 12,

d) A uniform plane wave propagating in a medium has E = 2e'OlZ sin (108t - [32) ay
V/m. If the medium is characterized by 8r = 1, pr : 20, and a : 3 S/m, find (X, ?,
and H.
e) Write and explain Maxwell?s equations in integral and differential form.
SECTION C
3. Attempt any two parts of the following: 5 x 2 = 10
a) State and prove Stoke?s theorem.
b) Explain Gradient, Divergence and Curl. With expression in Different Coordinate
system.
0) State & prove Divergence Theorem.
4. Attempt any one part of the following: 10 x 1 = 10
(a) Derive an expression for the electric field due to an infinite sheet carrying
uniform charge of charge density p5 on X?y plane.
(b) (i) An electric Field at a point P expressed in cylindrical Coordinate system
is Given by E = 6rzsinq) ar + 2rzcoscp a(p Find the value of divergence of
the field if the location of point P is given by (5,5,5) in Cartesian
Coordinate.
(ii) Express B=10/r ar + r cose a9 + aq. into cylindrical co?ordinates at (5, n/Z,
_2)
5. Attempt any one part of the following: 10 x 1 = 10
(a) State Ampere?s circuital law. Using Ampere?s circuital law, ?nd the
magnetic field intensity produced by an infinitely long filament carrying a
current.
(b) Derive a relation to determine the energy present in an assembly of charges,
hence derive electrostatic energy density in joules per cubic meter.
6. Attempt any one part of the following: 10 x 1 = 10
a) Derive the expression for 0: and [3 in a conducting medium. Explain the
terms skin effect and depth of penetration.
b) A circular loop located on x2 + yZ : 9, : = 0 carries a direct current of 10
A along a?. Determine H at (0, 0, 4) and (0, 0, ?4).
7. Attempt any one part of the following: 10 x 1 = 10
(a) What is Poynting vector? Give the statement of Poynting theorem and Drive the
formula for integral form of Poynting theorem and explain the physical
interpretation of each term.
(b) Consider the re?ection phenomena of a plane wave travelling through a medium
of permittivity 5 1 and permeability ? 1 is incident normally to the surface of a
prefect dielectric medium with permittivity 5 and permeability ? 2.Derive the
expression for the re?ection and transmission coef?cients for the electric and
magnetic fields.