Download GTU BE/B.Tech 2019 Summer 6th Sem Old 160906 Theory Of Electromagnetics Question Paper

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Subject Code: 160906

GUJARAT TECHNOLOGICAL UNIVERSITY

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SEMESTER-VI(OLD) - EXAMINATION - SUMMER 2019

Subject Name: Theory Of Electromagnetics

Time: 10:30 AM TO 01:00 PM

Instructions:

1. Attempt all questions.

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2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.

Q.1

1. (a) What is dot product and cross product? Explain its significance and applications. (07)
2. (b) A perpendicular vector field F = r²cos(f) @_r + zsin(f) @_z is in cylindrical system. Find the flux emanating due to this field from the closed surface of the cylinder 0 < z < 1, r = 4, verify the divergence theorem. (07)

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Q.2

1. (a) Define surface charge density. Drive an expression for electric field intensity due to a sheet of charge with uniform surface charge density ?_s C/m² on an infinite plane. (07)
2. (b) Show that the divergence of flux density due to point charge and uniform line charge is zero. (07)

OR

1. (b) If a sphere of radius ‘a’ has a charge density ?_v = kr³ then find D and V.D as a function of radius r and sketch the result. Assume k constant. (07)

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Q.3

1. (a) Establish relation between E and V. Proof that gradient of a scalar is a vector. (07)
2. (b) If V = x - vy + xy + 2z V, find E at (1, 2, 3) and the energy stored in a cube of side 2m centered at the origin. (07)

OR

1. (a) What is the principle of Continuity equation? Drive an expression for integral and differential form of Continuity equation of current. (07)

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Q.4

1. (a) Write a short note on “Electrostatic boundary conditions between two perfect dielectrics”. (07)
2. (b) The region between two concentric right circular cylinders contains a uniform charge density ?. Solve the Poisson’s equation for the potential in the region. (07)

OR

1. (a) State and Explain Biot Savart law. How Biot-Savart law can be applied to the distributed sources. (07)

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Q.5

1. (a) If a perpendicular field is given by F=(x+2y+az)a_x + (bx —3y— z)a_y + (4x + cy + 2z)a_z, then find the constant a, b and c such that the field is irrotational. (07)
2. (b) Drive an expression for the inductance of (i) Solenoid (ii) Toroid (iii) Co-axial Cable. (07)

OR

1. (a) State Maxwell’s equations for static field. Write the expression for integrated and derivative form of Maxwell’s equation derived from Faraday’s law and Ampere’s circuit law for static field. (07)

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2. (b) A point charge of 25 nC located in free space at P (2, -3, 5) and a perfectly conducting plane at z = 2. Find (i) V at (3, 2, 4) (ii) E at (3, 2, 4) (iii) ?_s at (3, 2, 2) use method of image. (07)

Date: 16/05/2019

Total Marks: 70

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