Download AKTU B-Tech 7th Sem 2016-2017 NCS 071 Software Testing Audit Question Paper

B.Tech II Year I Semester Examinations, December - 2018

ELECTROMAGNETIC FIELDS

(Electrical and Electronics Engineering)

Time: 3 hours Max. Marks: 75

Note: This question paper contains two parts A and B.

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Part A is compulsory which carries 25 marks. Answer all questions in Part A.

Part B consists of 5 Units. Answer any one full question from each unit. Each question carries 10 marks and may have a, b, c as sub questions.

Part- A (25 Marks)

1. a) State Coulomb’s Law. [2]

   b) Define Electric Potential. [3]

   c) State Ohm’s Law in Point form. [2]

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   d) Define Magnetization. [3]

   e) Define Scalar Magnetic Potential. [2]

   f) State Faraday’s Laws of Electromagnetic Induction. [3]

   g) Define Displacement Current. [2]

   h) Define Skin depth. [3]

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   i) Define Loss Tangent. [2]

   j) Define Poynting Vector. [3]

Part- B (50 Marks)

1. 2. a) Derive the expression for Electric Field intensity due to uniformly charged circular ring along its axis.

   b) A charge Q_A = -20µC is located at A(-6, 4, 7) and a charge Q_B = 50µC is located at B(5, 8, -2) in free space. If distance is given in meters find the force exerted by Q_A on Q_B . [5+5]

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   OR

2. 3. a) State and Prove Gauss’s Law. [5]

   b) Given the potential V = 10 sin? cosf /r² , find the electric flux density D at (2, p/2, 0). [5]

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3. 4. a) Derive the expression for capacitance of a parallel plate capacitor. [5]

   b) Two homogeneous, isotropic dielectrics meet on plane z=0. For z>0, e_r1=4 and for z<0, e_r2=3. A uniform electric field E₁ = 5ax - 2ay + 3az kV/m exists for z=0. Find

   i) E₂ for z = 0 [5]

   OR

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4. 5. a) Derive the expression for capacitance of a co-axial cable. [5]

   b) Find the energy stored in a system of four identical charges of 4nC each located at (1,0,0), (0,1,0), (-1,0,0) and (0,-1,0) in free space. [5]

5. 6. a) Derive an expression for Magnetic field Intensity due to infinitely long straight filament carrying current I. [5]

   b) A long straight conductor with radius ‘a’ is carrying a steady current I. Determine the expression for magnetic field intensity both inside and outside the conductor. [5]

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   OR

6. 7. a) Derive an expression for Magnetic field Intensity due to circular loop carrying current I. [5]

   b) A conductor of length 4m lies along the y – axis with a current of 10A in the ay direction. Calculate the force on the conductor if the magnetic field in the region is B = 0.05 a_x T. [5]

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7. 8. a) Derive Maxwell’s equations from Faraday’s Law and Ampere’s Circuital Law. [5]

   b) Explain about statically and dynamically induced EMFs. [5]

   OR

8. 9. a) Derive Maxwell’s equation in point and integral form for time varying fields. [5]

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   b) Explain the concept of displacement current density and conduction current density. [5]

9. 10. a) Derive wave equations in conducting medium. [5]

   b) A plane wave propagating through a medium with e_r = 8, µ_r = 2 has E = 0.5 sin(10⁸t - ßz) a_x V/m. Determine

   i) ß [5]

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   OR

10. 11. a) Explain about polarization of electromagnetic waves. [5]

    b) State and prove Poynting theorem. [5]

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