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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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- Attempt all parts of the following questions:
- Explain the physical significance of Divergence and Curl.
- Express B = r r + r cos ? ? in cylindrical coordinates.
- Derive and expression for inductance per unit length of coaxial conductors.
- Explain the terms – Transmission coefficient and reflection coefficient.
- Prove the electric field vector E = -(grad V), where V is a scalar potential field.
- Transform the point (1, 1, 6) to spherical coordinates.
- Verify whether the scalar field S = ?²z cos²F in cylindrical coordinates is a solution of Laplace's equation.
- 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.
- State Stroke's theorem and Divergence theorem.
- State the Gauss's law and derive the related Maxwell equation.
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SECTION - B
- Attempt any five of the following questions:
- Derive and explain the mathematical form of Poynting theorem.
- Given that D = (5r²/4) r in spherical co-ordinate. Find the volume enclosed between r=1 and r=2.
- Explain the phenomenon of polarization and its types.
- Prove that the magnetic field due to an infinite conductor carrying current i at a distance r is H = i / (2pr) A/m
- Explain the tangential and normal boundary conditions between two dielectrics for static electric fields.
- 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).
- State and explain Maxwell's equations for time varying fields in differential and integral forms and their significance.
- 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
- Attempt any two of the following questions:
- 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.
- Discuss the solution of plane wave equation in conducting media (Lossy Dielectric). Derive the above up to Propagation Constant, Attenuation Constant and Phase Constant.
- Explain the reflection of plane wave for the normal incidence. Discuss about Reflection and Transmission coefficient for E and H.
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