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Posted Date: 30 Jan 2009 Posted By: rahul Member Level: Gold
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2006 Jawaharlal Nehru Technological University Code No: RR II B.Tech I Semester Supplementary Examinations, November 2006 ELECTROMAGNETIC THEORY Question paper
Code No: RR211002 Set No. 2
II B.Tech I Semester Supplementary Examinations, November 2006
ELECTROMAGNETIC THEORY
( Common to Electronics & Instrumentation Engineering and Electronics &
Control Engineering)
Time: 3 hours Max Marks: 80
Answer any FIVE Questions
All Questions carry equal marks
? ? ? ? ?
1. (a) Derive an expression for the field intensity due to uniform line charge ?L.[8M]
(b) A line charge ?L=10pe0 (C/m) lies along the x-axis in free space while a
point charge Q=40pe0 C is located at (2,4,1). Three points are identified as
A(1,-1,2), B(4,0,5),C(-2,-5,3) [8M]
i. find VAB.
ii. Find VC if VB =0
iii. Find VC if VA =20 V.
2. (a) Show that the displacement current in the dielectric of a parallel plate capac-
itor is equal to the conduction current in the leads. [8M]
(b) Investigate the vector magnetic potential for the infinite, straight, current
element L in free space. [8M]
3. (a) Define magnetic moment. [3M]
(b) Determine force per meter length between two parallel wires A& B separated
by 4cm in air and carrying currents of 30 amps [6M]
i. in the same direction
ii. in the opposite direction
(c) Determine the vector magnetic potential near a long conductor carrying steady
current of I. [7M]
4. (a) In a nonmagnetic medium, E = 50cos(109t - 8x) ay + 40sin (109t - 8x) az
V/m, find the dielectric constant er and the corresponding H. [8M]
(b) A conducting bar can slide freely over two conducting parallel rails. While
Sliding, the bar always makes 900 with the rails. The starting end of the first
rail is at (0, 0, 0) and the rail aligns with y-axis. The starting end of the
second rail is located at (0.06m, 0, 0). The starting ends of these to rails are
connected by a straight conducting wire. The velocity of the sliding bar v =
20 ay m/s.
Rails, connecting wire, sliding bar make a rectangular loop in the xy-plane.Calculate
the induce the e.m.f as a function a of time in the loop due to magnetic flux
density B = 0.004 cos(106 t - y) az Tesla. [8M]
5. (a) Starting from the Maxwell’s curl equations, derive the wave equation in Elec-
tric field for free space.
(b) Given a non-magnetic material having er = 2.35, s = 104 mhos/m., find the
loss tangent, attenuation, phase factor and intrinsic impedance at 2.5 MHz.
[10M]
6. (a) Explain EM wave propagation in a lossless medium. [6M]
(b) In a sinusoidal travelling wave define the terms [10M]
i. phase velocity
ii. Phase-shift constant
iii. Wave length
7. (a) A uniform plane wave is normally incident from air in to a medium of er=4,
µr=1.21.Determine the reflection and transmission coefficients for E and H
fields. [8M]
(b) A Plane wave of 10 MHz in space impinges normally on an aluminum sheet
of 0.05 cm thickness. Find the electric field strength on reaching the other
side of the sheet if for the sheet s=3.82x107mhos/m, and the incident field
strength is 10 mV/m [8M]
8. (a) Discuss the significance and applications of Poynting Theorem. [8M]
(b) Explain the utility of Poynting vector. If the peak poynting vector in free
space is 10w/m2find the amplitudes of electric and magnetic fields.
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