Hall Ticket No Question Paper Code: AEE006
INSTITUTE OF AERONAUTICAL ENGINEERING
(Autonomous)
B.Tech III Semester End Examinations (Supplementary) February, 2018
Regulation: IARE R16
ELECTROMAGNETIC FIELD THEORY
(Electrical and Electronics Engineering)
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. Evaluate electric field E due to an infinite sheet of charge and obtain Laplace's equation.
Find E at the origin if the following charge distributions are present in free space
i. point charge, 12nC at
ii. uniform line charge density, 3nC/m at x −2, y
iii. uniform surface charge density, 0.2nC/m2 at x 2
2. Planes x=2 and y=3 respectively carry charges 10 nC/m2 and 15 nC/m2. If the line Z=2
carries charge 10 nC/m. Calculate E at due to the 3 charge distributions.
Obtain the electric field at any point due to an infinite line charge. Verify the result using Gauss's
law.
UNIT II
3. Find the capacitance of parallel plate capacitor. Given V=0 at V=V0 at x=d.
A charge distribution with spherical symmetry has density
0 r R
0 r R
Determine "E" every where.
4. Differentiate between conductor and dielectric. Obtain conductor-dielectric boundary conditions.

Two extensive homogenous isotropic dielectrics meet on plane Z 0. For "r1 4 and for
"r2 3. A uniform electric field E1 5Ux 2Uy 3UzkV exists for Z 0. Find
i. E2 for Z 0
ii. The angles E1 and E3 make with the interface.
iii. Energy densities(J/m3) in both dielectrics
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UNIT III
5. Explain the relation between Magnetic Flux, Magnetic Flux Density and Magnetic Field Intensity.

A circular loop located on X2 Y 2 9;Z carries a direct current of 10 Amps along UO.
Find H at and
6. Explain Amperes circuital law and mention its applications.
A Solenoid of length "l" and radius "a" consists of "N" turns of wire carrying current "I". Show
that at point "P" along its axis H nI
2 (cos cos where n N
l are the angles
subtended at P by the end turns. Also show that if l a at the centre of the solenoid H=nI
Uz.
UNIT IV
7. Find the torque vector on a square loop having corners and
about the origin by B 0:6ax 0:4ay T when a current of 0.5A is flowing through the loop.

Explain the concept of vector magnetic potential.
8. Describe about forces due to magnetic fields and derive the expression of torque due to magnetic
dipoles.
Determine the Magnetic moment of an electric circuit formed by the triangular loop shown in
Figure 1.
Figure 1
UNIT V
9. Derive Maxwell's equation from Ampere's law and write the applications of ampere's circuital
law.
The magnetic circuit in the below Figure 2 has a uniform cross-section of 10􀀀3m2.If the circuit is
energized by a current i1 3 sin sin 100tAmperes in the coil of N1=200 TURNS.Find the emf
induced in the coil of N2=100 TURNS.Assume that
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Figure 2
10. Write short notes on
FDM
ii) FEM
The loop shown in Figure 3 is inside a uniform magnetic field B 50Ux
mWb
m2 . If side DC of the
loop cuts the flux lines at frequency of 50Hz and the loop lies in yz-plane at time t=0. Find
induced EMF at t=1ms.
Figure 3