Download AKTU B-Tech 5th Sem 2015-2016 Fundametals Of E.M. Theory Nec 508 Question Paper

Printed Pages: 4

NEC-508

(Following Paper ID and Roll No. to be filled in your Answer Book)

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Paper ID: 131505

Roll No.

B.TECH.

(SEM. V) THEORY EXAMINATION, 2015–16

FUNDAMENTALS OF E.M. THEORY

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[Time: 3 hours]

[Total Marks: 100]

Section-A

Note: All questions are compulsory.

Attempt all parts. All parts carry equal marks. Write answers of all part in short.

1. (10x2=20)
   1. State Stokes theorem.

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   2. Give the application of cross product.
   3. Find gradient of W= 2?³zcos2f.
   4. What is Lorentz force?
   5. What is an equipotential surface?
   6. Define Scalar magnetic potential.

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   7. State Poynting Theorem.
   8. Define Convection current.
   9. Write the Maxwell equation in differential and integral form for static magnetic fields.
   10. Give the relation between Magnetic field and Magnetic flux density?

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Section-B

Attempt any five questions from this section. (5x10=50)

5. Explain the phenomenon of polarization and explain its types.
6. State Coulomb's law. Derive an expression for electric field intensity due to line charge density ?_l.
7. Given the potential V = sin? sinf cosf / r. Find the electric flux density D at (2,p/7,0).
8. Derive the expression of reflection and transmission coefficients for normal incidence. Derive the relation between the two.

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9. Find the magnetic field intensity due to infinitely long charged wire as an application of Ampere circuital law.
10. Find the value of a (attenuation), ß (Phase Constant) for good conductors. Find out the angle of characteristic impedance for good conductors.
11. State and explain Maxwell's equations for electrostatics and magnetostatics. Discuss its physical significance.
12. Prove the vector triple product identity A x (B x C) = B(A.C)-C(A.B). Evaluate div (curl A) if A = (sin? cosf / r²) a_r

Section-C

Attempt any two questions from this section. (2x15=30)

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10. Discuss the solution of plane wave equation in conducting media (Lossy Dielectric). Derive the above up to propagation constant, attenuation constant and phase constant.
11. Define propagation constant and characteristic impedance. Derive the boundary conditions for electric field between two dielectrics having different permittivity interfaces.
12. Find the expression for a, ß, ? for lossless or perfect dielectric medium. A 10 GHz plane wave travelling in free space has an amplitude of E_i=10V/m. find V, ß, ?, ? and the amplitude of H.

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