Hall Ticket No Question Paper Code: AEE006
INSTITUTE OF AERONAUTICAL ENGINEERING
(Autonomous)
Four Year B.Tech III Semester End Examinations (Regular) November, 2018
Regulation: IARE R16
ELECTROMAGNETIC FIELD THEORY
Time: 3 Hours Max Marks: 70
Answer ONE Question from each Unit
All Questions Carry Equal Marks
All parts of the question must be answered in one place only
UNIT I
1. Write short note on Gaussian surface and conditions to be satisfied by special Gaussian surfaces.

State Gauss law. Prove Gauss law for electrostatic fields.
2. Derive an expression for electric field intensity using Electric Dipole.
Determine whether or not the following potential field satisfy the Laplace equation:
x2 y2 z2
V rCos z
UNIT II
3. Derive the equation of continuity for current with help of principle of conservation of charge.

A conducting wire of diameter 1mm and conductivity 5x107 has 1029 free electrons/m3
when an electric field of 10mV/m is applied. Determine
The charge density of free electrons
The current density
The current in the wire
4. Derive an expression for capacitance of parallel plate capacitor.
A parallel plate capacitor with area 0.3 m2 and separation 5.5mm contains three dielectrics
with interfaces normal to E and D as follows 2r1 d1 1:0mm 2r2 d2 2:0mm
2r3 d3 2:5mm. Find the capacitance.
UNIT III
5. An infinitely long straight filament carrying a direct current I is placed along axis. Apply
Biot-Savart's law to calculate the value of magnetic field intensity H at the point
Find using Biot-Savart's law, at a point on the axis of a circular current loop of radius a.

Page 1 of 2
6. Derive mathematical form of Biot Savarts law with diagram and explain any one application.

Derive relation between Magnetic flux, Magnetic field intensity and Magnetic flux density.

UNIT IV
7. Derive an expression for inductance of solenoid.
A solid conducting filament extends from x −b to x b along the line y z 0. This
filament carries a current of 3A in the ax direction. An infinite filament on the z-axis carries 5A
in the az direction. Obtain an expression for the torque exerted on the finite conductor about an
origin located at
8. Derive an expression for inductance of Toroid.
A rectangular coil is composed of 150 turns of a filamentary conductor. Find the mutual inductance
in free space between this coil and an infinite straight filament on the z-axis if the four
corners of the coil are located at
and
and
UNIT V
9. Discuss in brief about the significance and approach to be used in case of Finite Difference Method
for solving problems on EM fields.
Derive the integral forms of the four Maxwell's equations for time varying fields from the respective
point forms.
10. Discuss the application of finite element method to calculate electrostatic and magneto static
field.
Explain the Faradays law of Electromagnetic induction and derive Maxwell equation for faradays
law in point and integral form.