Download AKTU B-Tech 4th Sem 2017-18 REC402 Electromagnetic Field Theory Question Paper

Download AKTU (Dr. A.P.J. Abdul Kalam Technical University (AKTU), formerly Uttar Pradesh Technical University (UPTU)) B-Tech 4th Semester (Fourth Semester) 2017-18 REC402 Electromagnetic Field Theory Question Paper

Printed Pages: 02 Sub Code: REC402
Paper Id: 131412 Roll No.


B. TECH
(SEM-IV) THEORY EXAMINATION 2017-18
ELECTROMAGNETIC FIELD THEORY
Time: 3 Hours Max. Marks: 70
Note: Be precise in your answer. In case of numerical problem assume data wherever not
provided
SECTION ? A
1. Attempt all parts of the following questions: 2?7=14
(a) Write the Poisson?s and Laplace equation.
(b) State point form of ohms law & Gauss?s law.
(c) Explain Biot-Savart?s Law.
(d) Give Maxwell?s equations in differential and integral form.
(e) Give applications of Smith chart.
(f) Transform the point P(5,3,6) in cylindrical coordinate system.
(g) Explain Faraday?s law.
SECTION B
2. Attempt any three parts of the following questions: 3?7=21
(a) Calculate the capacitance formed by two back to back cones separated by infinitely small
distance.
(b) State and derive ampere circuital law. A single turn circle coil of 50 meters in diameter
carries current 28 ? 10
Amp. Determine the magnetic field intensity H at a point on the
axis of coil and 100 meters from the coil. The relative permeability of free space surrounding
the coil is unity.
(c) Prove that magneto static energy is given by
?? =
1
2
????
????.

?
(d) Determine the magnetic flux density B at a distance d meter from an infinite straight wire
carrying current I. Also find out when the length of the wire is semi-infinite.
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Printed Pages: 02 Sub Code: REC402
Paper Id: 131412 Roll No.


B. TECH
(SEM-IV) THEORY EXAMINATION 2017-18
ELECTROMAGNETIC FIELD THEORY
Time: 3 Hours Max. Marks: 70
Note: Be precise in your answer. In case of numerical problem assume data wherever not
provided
SECTION ? A
1. Attempt all parts of the following questions: 2?7=14
(a) Write the Poisson?s and Laplace equation.
(b) State point form of ohms law & Gauss?s law.
(c) Explain Biot-Savart?s Law.
(d) Give Maxwell?s equations in differential and integral form.
(e) Give applications of Smith chart.
(f) Transform the point P(5,3,6) in cylindrical coordinate system.
(g) Explain Faraday?s law.
SECTION B
2. Attempt any three parts of the following questions: 3?7=21
(a) Calculate the capacitance formed by two back to back cones separated by infinitely small
distance.
(b) State and derive ampere circuital law. A single turn circle coil of 50 meters in diameter
carries current 28 ? 10
Amp. Determine the magnetic field intensity H at a point on the
axis of coil and 100 meters from the coil. The relative permeability of free space surrounding
the coil is unity.
(c) Prove that magneto static energy is given by
?? =
1
2
????
????.

?
(d) Determine the magnetic flux density B at a distance d meter from an infinite straight wire
carrying current I. Also find out when the length of the wire is semi-infinite.
(e) A uniform plane wave propagating in good conductor. If the magnetic field intensity
is given by ?? = 0.1??

cos 2?? ? 10
???15?? ?? A/m, determine the conductivity
and corresponding component of E field. Also calculate the average power loss in a
block of unit area and thickness t.
SECTION C
3. Attempt any One part of the following questions: 7?1=7
(a) State and explain Maxwell?s equations for time varying fields in differential and
integral forms and their significance.
(b) (i) Find the divergence of a vector ??= 8?? ?? +5?? ?? ?? +?????? ?? and del ? of a scalar
function ?? ???? .
(ii) Describe the gradient of a scalar field.
4. Attempt any One part of the following questions: 7?1=7
(a) Point charges ?? =1????,?? =?2????,?? = 3???? ?????? ??
=?4???? are positioned one
at a time in that order at (0,0,0), (1,0,0), (0,0,-1) and (0,0,1) respectively. Calculate
the energy in the system after each charge is positioned.
(b) Explain Skin effect. Derive the expression for ? and ? in a conducting medium.
5. Attempt any One part of the following questions: 7?1=7
(a) Define propagation constant and characteristic impedance. Derive the boundary conditions
for electric field between two dielectrics having different permittivity interfaces.
(b) State Poynting theorem. Derive the mathematical expression for Poynting theorem.
6. Attempt any One part of the following questions: 7?1=7
(a) A transmission line operating at 500 MHz has ?? =80 ?,??=0.04 NP/m, ?= 1.5 rad/m.
Find the line parameters R, L, G, C.
(b) Explain the phenomena of polarization and its types.
7. Attempt any One part of the following questions: 7?1=7
(a) Find the potential function and electric field intensity for the region between two concentric
right circular cylinders where V=V 0 at r=a and V=0 at r=b (b>a)?
(b) Explain the reflection of plane wave for normal indices. Discuss about Reflection and
transmission coefficient for F and H.


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