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Posted Date: 07 Jan 2009 Posted By: pradeep Member Level: Diamond
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2005 Jawaharlal Nehru Technological University II B.Tech I Semester Supplementary Examinations, May 2005 ELECTROMAGNETIC THEORY Question paper
Code No: NR211002 NR
II B.Tech I Semester Supplementary Examinations, May 2005
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) State and explain Coulomb’s law of electrostatic field in vector form.
(b) It is required to hold four equal point charges to each in equilibrium at the
corners of a square. Find the point charge, which will do this if placed at the
center of the square.
2. Obtain an expression for the capacitance of a co-axial cylinder of diameters d1 and
d2 and length l.In a concentric cable condenser, the diameter of the inner and outer
cylinders are 3mm and 10mm, respectively. If relative permittivity of the insulator
is 3, find its capacity per meter.
3. (a) State and explain Biot-Savart law and relate it to Amperes law. Show that
the divergence magnetic induction is always zero.
(b) If H=x2yax+0.1xazA/m, find the current density.
4. (a) A circular loop of 10cm radius is located in free space adjacent to a straight
conductor which carries a sinusoidal current of 0.5 A at 5 KHz. the straight
conductor is in the plane of the circular loop. If a small gap is introduced into
the loop, determine the induced voltage across the gap and its proper polarity.
The centre of the loop is 15cm away from the conductor.
(b) A medium characterized by = 0, µ = 2µ0, " = 5"0. If H = 2cos (!t- 3y) az
A/m, calculate ! and E using Maxwell’s equations.
5. (a) Starting from the Maxwell’s curl equations, derive the wave equation in Mag-
netic field for free space.
(b) A plane wave with frequency f = 16 GHz travels in a distilled water with µr =
1, "r = 50, = 20 mhos/m. Calculate the propagation constant, attenuation,
phase factor and intrinsic impedance.
6. (a) Distilled water has constants µr = 1, "r = 81, power factor = 0.05 at 1 GHz,
Calculate
i. The 1/e depth penetration and
ii. The 1 percent depth of penetration at this frequency.
(b) A plane wave is travelling wave has a peak electric field E0 = 5 V/m. if the
medium is loss less µr = 1, "r = 3.5, find the phase velocity, impedance of the
medium, wavelength and peak value of H field.Code No: NR211002 NR
II B.Tech I Semester Supplementary Examinations, May 2005
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) State and explain Coulomb’s law of electrostatic field in vector form.
(b) It is required to hold four equal point charges to each in equilibrium at the
corners of a square. Find the point charge, which will do this if placed at the
center of the square.
2. Obtain an expression for the capacitance of a co-axial cylinder of diameters d1 and
d2 and length l.In a concentric cable condenser, the diameter of the inner and outer
cylinders are 3mm and 10mm, respectively. If relative permittivity of the insulator
is 3, find its capacity per meter.
3. (a) State and explain Biot-Savart law and relate it to Amperes law. Show that
the divergence magnetic induction is always zero.
(b) If H=x2yax+0.1xazA/m, find the current density.
4. (a) A circular loop of 10cm radius is located in free space adjacent to a straight
conductor which carries a sinusoidal current of 0.5 A at 5 KHz. the straight
conductor is in the plane of the circular loop. If a small gap is introduced into
the loop, determine the induced voltage across the gap and its proper polarity.
The centre of the loop is 15cm away from the conductor.
(b) A medium characterized by = 0, µ = 2µ0, " = 5"0. If H = 2cos (!t- 3y) az
A/m, calculate ! and E using Maxwell’s equations.
5. (a) Starting from the Maxwell’s curl equations, derive the wave equation in Mag-
netic field for free space.
(b) A plane wave with frequency f = 16 GHz travels in a distilled water with µr =
1, "r = 50, = 20 mhos/m. Calculate the propagation constant, attenuation,
phase factor and intrinsic impedance.
6. (a) Distilled water has constants µr = 1, "r = 81, power factor = 0.05 at 1 GHz,
Calculate
i. The 1/e depth penetration and
ii. The 1 percent depth of penetration at this frequency.
(b) A plane wave is travelling wave has a peak electric field E0 = 5 V/m. if the
medium is loss less µr = 1, "r = 3.5, find the phase velocity, impedance of the
medium, wavelength and peak value of H field.
Code No: NR211002 NR
7. (a) A plane wave is normally incident from air to the surface of dielectric medium.
Show that a partial standing wave is formed in air.
(b) Reflection of an incident plane wave from the surface of a certain dielectric
material of effectively infinite depth is seen produce a standing wave ratio of
2 in air. The face of the dielectric is an electric field minimum. Find the
dielectric constant of the material.
8. (a) A uniform plane wave is normally incident from air on to a perfect dielectric
with "r = 3. If "i =10 Cos (wt - z) ay y(S)m is the incident field, find the
time average power in both regians.
(b) In free space, H = 0.2 cos (!t- z) az A/m. Find the total power passing
through: a circular disc of radius 5 cm on plane x = 1
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