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

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GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER- VI (New) EXAMINATION - WINTER 2019

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Instructions:

1. Attempt all questions.

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

MARKS

Q.1

1. What are the Coordinate systems used in Electromagnetic Engineering. Explain any one Coordinate System in Brief. 03

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2. The three vertices of a triangle are located at A(6,-1,2), B(-2,3,-4), and C(-3,1,5). Find (a) RaB (b) Rac (c) The angle BAC at vertex A 04
3. Derive Maxwell’s four equations in Integral and Point form. 07

Q.2

1. Calculate the Electric force on a 10 nC charge located at (0, 3, 1) due to Point charges of 1 mC located at (3, 2,-1) 03
2. State and Prove Gauss’s law. 04

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3. Derive the expression for the Electric Field intensity E due to infinite line of charge having a uniform density of ?L C/m? 07
   OR
   Define Current and Current Density and Derive Continuity of Current Equation. 07

Q.3

1. A uniform line charge of 10 nC/m is lying along z —axis. Find E and D at r=3m. 03

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2. Explain Hall voltage & Hall effect and mention its uses. 04
3. State Ampere’s Circuital law. & Derive the expression for Curl of Magnetic field intensity. 07
   OR
   

Q.3

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1. Write down short notes on Isolated Spherical Capacitor. 03
2. State and Prove Stoke’s Theorem with necessary Equation. 04
3. Define Lorentz Force Equation. The point charge Q = 18 nC has a velocity 5 x 10⁶ m/s in the direction a = 0.60 ax + 0.75 ay + 0.30 az. Calculate the magnitude of the force exerted on the charge by the field (i) B=-3 ax+4ay + 6 az mT (it) E=-3 ax + 4ay + 6 az kV/m (iii) B and E acting together 07

Q.4

1. Find out relationship between E and V. 03

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2. Explain Faraday’s law of EM induction and direction of e.m.f 04
3. Prove that for a differential current loop which carries current I in a given magnetic field B, the torque on loop is given by dT = dm x B 07
   OR
   

Q.4

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1. Evaluate Poisson’s and Laplace’s Equations. 03
2. Determine volume charge density ?v associated with electric Flux Density D = 4xy/z ax + 2x²/z ay — 2x²y/z² az 04
3. Write the property of Conductor and Determine boundary conditions at a boundary between a conductor and free space 07

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Q.5

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1. Write a short note on nature of Magnetic Materials. 04
2. What do you mean by Electric Dipole? Derive the expression for Electric field intensity E at due to the Electric Dipole. 07
   OR
   

Q.5

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1. Write a short note on polarization of waves. 03
2. State and Explain Uniqueness theorem 04
3. Given the electric flux density, D = 0.3r²a, nC/m² in free space: (1) Find E at point P(r =2, ? = 25°, f = 90°); (11) Find the total charge within the sphere r = 3; (iii) Find the total electric flux leaving the sphere r =4 07

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