Download AKTU B-Tech 4th Sem 2018-19 REC402 Electromagnetic Field Theory Question Paper

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Paper Id: 131289

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Roll No.

B.TECH

Sub Code: REC402

(SEM IV) THEORY EXAMINATION 2018-19

ELECTROMAGNETIC FIELD THEORY

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Time: 3 Hours

Total Marks: 70

Note: 1. Attempt all Sections. If require any missing data; then choose suitably.

2.

SECTION A

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1. Attempt all questions in brief.

1. a) Convert the point (-2,6,3) into spherical coordinate system.
2. b) Find the gradient of the scalar field f(x,y,z)= x²+y+z at a point P(2,0,1)
3. c) Prove line integral of static electric field in a close path is zero.
4. d) Explain reflection and transmission coefficients.

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5. e) Explain relaxation time constant.
6. f) Write an equation of EM wave.
7. g) Explain Ampher's circuital Law in statics magnetic field.

SECTION B

2. Attempt any three of the following: 7x3=21

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1. a) Transform the A= r ar into Cartesian and cylindrical coordinate system
2. b) Evaluate the electric field intensity in space due to charged finite length wire having uniform charge density.
3. c) A plane electromagnetic wave propagating in z direction in a dielectric medium of permittivity ? = 5, the electric field is in x- direction and as a RMS value 0.1 v/m. What is the direction and magnitude of magnetic field. Also calculate the frequency of wave.
4. d) Evaluate magnetic field intensity in space due to current wire.
5. e) Derive a general expression of voltage and current of a Transmission line.

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SECTION C

3. Attempt any one part of the following: 7x1=7

1. a) Determine close path line integral of A p cos ø ap+ sin ø a, around a circle which is placed in x-y plane with origin as a center.
2. b) Explain a point coordinate and all possible surfaces in vector form in cylindrical Coordinate system.

4. Attempt any one part of the following: 7x1=7

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1. a) Two point charges -4nC and 5nC are placed at (2, -1,3) and (0,4, -2) respectively, find The potential at (1,0,1), assuming zero potential at infinity. Right-angle triangle. Find electric forces at the corners of the triangle.
2. b) Derive and explain continuity equation for electrostatic in detail.

5. Attempt any one part of the following: 7x1=7

1. a) Explain all forms of Maxwell's equations in time varying conditions with its physical significance.
2. b) Explain Biot-Savart's Law. Also derive an expression for a magnetic field intensity in space due to an infinite uniform current carrying wire.

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6. Attempt any one part of the following: 7x1=7

1. a) Derive an expression for a magnetic field intensity in solenoid having length L, N numbers of turns of wire carrying I current. where the length of solenoid is much larger then it's radius.
2. b)
   1. (i) A charged particle moves with a uniform velocity 4 m/s in x direction in a region where E=20 ay V/m and B= Boaz Wb/m². Determine Bo such that the velocity of the particle remains constant.
   2. (ii) Write a short note on magnetic scalar and vector potential, Faraday law of electromagnetic induction.

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7. Attempt any one part of the following: 7x1=7

1. a) Derive an expression for attenuation constant, propagation constant and intrinsic impedance of an EM wave when it is propagating through a lossy dielectric medium.
2. b) Explain Poynting Vector. Derive an expression of Poynting theorem for EM wave. Also explain the significance of each term of the expression.

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