Download GTU BE/B.Tech 2019 Summer 6th Sem New 2163203 Engineering Electromagnetics And Wave Propagation Question Paper

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GUJARAT TECHNOLOGICAL UNIVERSITY

SEMESTER-VI(NEW) — EXAMINATION - SUMMER 2019

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Subject Code:2163203 Date:14/05/2019

Subject Name:Engineering Electromagnetics And Wave Propagation

Time:10:30 AM TO 01:00 PM Total Marks: 70

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) Explain cross product. 03
2. (b) Explain spherical coordinate systems. 04

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3. (c)
   1. (1) Transform the vector B = yax — xay + zaz into cylindrical coordinates.
   2. (1) Transform vector field G = (xz/y)ax into spherical components and variables. 07

Q.2

1. (a) State Coulomb’s law. 03

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2. (b) Find electric field intensity due to infinite line with uniform line charge density pl which lies on the z-axis. 04
3. (c) Given the field D =6 p sin (¢ /2) ap+ 1.5 p cos (¢ /2) ap C/m2. Evaluate both sides of the divergence theorem for the region bounded by p=2, 0 < ¢ < 180°, 0

OR

1. (c) Find the total charge inside each of the volumes indicated.
   1. (a) pv=10Z2%e"*sinmy, -1
   2. (b) ypv=4xyZ?,0

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   3. (c) pv =231 cos 20 cos? ¢ / [2r2 (* +1)]; Universe.

Q.3

1. (a) What do you mean by equipotential surface? Derive the expression of potential gradient. 03

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2. (b) Derive the expression of following capacitor: 1) coaxial 2) Spherical. 04
3. (c) Write short note on magnetic boundary conditions. 07

OR

1. (a) Explain electric dipole. 03
2. (b) Write short note on boundary condition for perfect dielectric. 04

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3. (c) Prove that A .D.=pv 07

Q.4

1. (a) What are the characteristics of good conductor? 03
2. (b) State and explain Stoke’s theorem. 04
3. (c) An electric field is expressed in rectangular coordinates by E = 6x*ax + 6y ay + 4 az V/m for points M (2, 6, -1) & N (-3, -3, 2). Determine potential a) V mx b) Vnif V=2atP(l,2,-4) 07

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OR

1. (a) Explain Ampere’s circuital law. 03
2. (b) Let V=2xp*z>+3 In (**+ 2%+ 3z?) V in free space. Evaluate each of the following quantities at P(3, 2,— 1): a) 'b) |V'| and c¢) E. 04
3. (c) Explain Point and integral form of Maxwell’s Equations. 07

Q.5

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1. (a) Define skin effect. 03
2. (b) Derive Poisson’s and Laplace’s equation. 04
3. (c) Verify Stoke’s theorem for the field H = 6xyax — 3y*ay and the rectangular path around the region 2

Q.5

1. (a) Explain Faraday’s law of EM induction. 03

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2. (b) Explain Wave motion in free space. 04
3. (c) State and prove Poynting theorem relating to the flow of energy at a point in space in an electromagnetic field. 07

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