Download AKTU B-Tech 4th Sem 2016-17 NEC404 Electromagnetic Field Theory Question Paper

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B. TECH.

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THEORY EXAMINATION (SEM–IV) 2016-17

ELECTROMAGNETIC FIELD THEORY

Max. Marks : 100

Note: Be precise in your answer. In case of numerical problem assume data wherever not provided.

SECTION – A

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1. Attempt all parts of the following questions:
   1. Explain the physical significance of Divergence and Curl.
   2. Express B = r r + r cos ? ? in cylindrical coordinates.
   3. Derive and expression for inductance per unit length of coaxial conductors.
   4. Explain the terms – Transmission coefficient and reflection coefficient.
   5. Prove the electric field vector E = -(grad V), where V is a scalar potential field.

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   6. Transform the point (1, 1, 6) to spherical coordinates.
   7. Verify whether the scalar field S = ?²z cos²F in cylindrical coordinates is a solution of Laplace's equation.
   8. A copper wire carries a conduction current of 1 amp at 60 Hz. What is the displacement current in the wire? Assume µ = µ0, e = e0 and s = 5.8 × 107 ohm/m.
   9. State Stroke's theorem and Divergence theorem.
   10. State the Gauss's law and derive the related Maxwell equation.

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SECTION - B

2. Attempt any five of the following questions:
   1. Derive and explain the mathematical form of Poynting theorem.
   2. Given that D = (5r²/4) r in spherical co-ordinate. Find the volume enclosed between r=1 and r=2.
   3. Explain the phenomenon of polarization and its types.

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   4. Prove that the magnetic field due to an infinite conductor carrying current i at a distance r is H = i / (2pr) A/m
   5. Explain the tangential and normal boundary conditions between two dielectrics for static electric fields.
   6. Calculate E at P(1, 1, 0) in free space caused by four identical 3-nC point charges located at p1 = (1, 1 ,0), p2 = (-1, 1, 0), p3 = (-1, -1,0) and p4 = (1, -1, 0).
   7. State and explain Maxwell's equations for time varying fields in differential and integral forms and their significance.
   8. A uniform plane wave propagating in good conductor. If the magnetic field intensity is given by H = 0.1e?¹5z cos(2p × 108t – 15z) i 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.

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SECTION - C

3. Attempt any two of the following questions:

3. A uniform plane wave propagating in a medium has E = 2e?az sin(108t – ßz) j V/m. If a medium is characterized by er = 1, µr = 1 and s = 3 S/m, determine a, ß and H.
4. Discuss the solution of plane wave equation in conducting media (Lossy Dielectric). Derive the above up to Propagation Constant, Attenuation Constant and Phase Constant.

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5. Explain the reflection of plane wave for the normal incidence. Discuss about Reflection and Transmission coefficient for E and H.

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