GTU BE/B.Tech 2018 Winter Question Papers || Gujarat Technological University
Subject Name: Engineering Electromagnetics
Date: 27/11/2018
Time: 10:30 AM TO 01:00 PM
Total Marks: 70
Subject Code: 2151002
GUJARAT TECHNOLOGICAL UNIVERSITY
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BE - SEMESTER-V (NEW) EXAMINATION - WINTER 2018Subject Name: Engineering Electromagnetics
Date: 27/11/2018
Time: 10:30 AM TO 01:00 PM
Total Marks: 70
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Instructions:
- Attempt all questions.
- Make suitable assumptions wherever necessary.
- Figures to the right indicate full marks.
| Q.1 | MARKS |
| (a) If three vertices of a triangle are p (6, -1, 2), q (-2, 3, -4) and r (-3, 1, 5) then determine : (a) Rpq.Rpr, (b) Rpq x Rpr, (c) area of the triangle | 03 |
| (b) Explain Cylindrical co-ordinate system with unit vectors, differential lengths, areas and volume. | 04 |
| (c) Two infinite uniform line charges of 5 nC/m, lie along the positive and negative x and y axes in free space respectively. Find E at point P(0,0,4). | 07 |
| Q.2 | |
| (a) State and explain Coulomb's law and get its vector notation. | 03 |
| (b) Calculate the total charge enclosed within the volume defined by the universe with py = e-2r /1%, | 04 |
| (c) Define electric field intensity (E) and write the equation of E due to a point charge and explain system of super position of charges. | 07 |
| OR | |
| (a) Explain boundary conditions at conductor-free space interface. | 03 |
| (b) Briefly discuss stream lines. | 04 |
| (c) Which are the different types-of charge distributions? Hence define pr , ps & pv. | 07 |
| Q.3 | |
| (a) Derive expression of Electric field due to infinite uniform sheet charge lying along Y-Z plane: | 03 |
| OR | |
| (b) Calculate electric flux density at point P(2,-3,6) produced by a point charge Qa=55 mille Coulombs located at Q(-2,3,-6). | 04 |
| (c) State and prove divergence theorem as, ?s D. dS = ?v (? - D) dv | 07 |
| Q.4 | |
| (a) State and explain Gauss's law and its applications for symmetrical charge distributions. | 03 |
| (b) Define potential difference and potential of a point. | 04 |
| (c) Derive Poisson's and Laplace's equations. | 07 |
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| OR | |
| Q.4 (a) Define : magnetic flux density, scalar magnetic potential, vector magnetic potential, | 03 |
| (b) Describe boundary conditions for perfect dielectric-dielectric interface. | 04 |
| (c) Define and discuss Curl with necessary equations & derive point form of Amperes' law as ? x H=J. | 07 |
| Q.5 | |
| (a) Explain displacement current and retarded potential. | 03 |
| (b) State and explain Biot-Savart's law. | 04 |
| (c) Write down the Maxwell equation in integral and differential form and explain its physical significance. | 07 |
| OR | |
| (a) Define: polarization, magnetization, poynting vector. | 03 |
| (b) Discuss boundary conditions for magnetic materials | 04 |
| (c) Magnetic field intensity H = 6xy ax — 3y² ay. Verify stokes theorem for region 2<=x<=5,-1<=y<=1and z=0. Let the positive direction of dS be az. | 07 |
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