Download GTU B.Tech 2020 Winter 5th Sem 2151002 Engineering Electromagnetics Question Paper

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Subject Code:2151002

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GUJARAT TECHNOLOGICAL UNIVERSITY

BE- SEMESTER-V (NEW) EXAMINATION - WINTER 2020

Subject Name:Engineering Electromagnetics

Time:10:30 AM TO 12:30 PM

Instructions:

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1. Attempt any FOUR questions out of EIGHT questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.

Q.1

1. Transform the following vectors to spherical coordinates at the points given: Y=10a,. At point Q( p=5,¢=30°z=4) [03 MARKS]

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2. A field is given as G =[25 /(x> +)?)](x ax+yay). Find aunit vector in the direction of G at P(3, 4,—2) . Also find the angle between G and a, at P [04 MARKS]
3. State the Biot Savart Law. Express biot savart law in terms of differential current element dL, surface current density K and current density J. [07 MARKS]

Q.2

1. Stat and explain in brief : The divergence theorem [03 MARKS]
2. Determine an expression for the volume charge density associated with each D field: D=sinfsingpa,+cosfsingag+cospa,. [04 MARKS]

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3. Explain the term: Electric Flux Density. Determine an equation for the electric fields due to volume charge distribution. [07 MARKS]

Q.3

1. Define potential and potential difference [03 MARKS]
2. State conductor properties and, its boundary condition. [04 MARKS]
3. Define capacitance. State and explain the problem of the parallel plate capacitor. Fine the expression for capacitance for parallel plate capacitor. [07 MARKS]

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Q.4

1. Define current and current density [03 MARKS]
2. An electric field is expressed in rectangular coordinates by E=6x*a,+6ya,+4a. V/m. Find: (a) Vi nif points M and N are specified by M (2, 6,—1) and N (=3,-3, 2); (b) VM if V=0 at O(4,—2,-35) [04 MARKS]
3. State the Nature of Dielectric Materials and Boundary Conditions for Perfect Dielectric Materials. [07 MARKS]

Q.5

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1. State the magnetic boundary conditions. [03 MARKS]
2. The point charge Q = 18nC has a velocity of 5x10° m/s in the direction a,=0.60a,+0.75 a ,+0.30 a - . Calculate the magnitude of the force exerted on the charge by the field: B =—3ax +4ay +6az mT [04 MARKS]
3. Define CURL. Derive the expression of curl of magnetic field intensity in rectangular co-ordinate. [07 MARKS]

Q.6

1. Find the magnetization M in a magnetic material where: u=18x10"H/mand H=120 A/m [03 MARKS]

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2. Define force and Torque on a close circuit. [04 MARKS]
3. State the ampere’s circuital law. Derive the expression for magnetic field intensity at any point for co-axial cable which carries the uniform distribution of current. [07 MARKS]

Q.7

1. Explain: Wave Polarization and Standing Wave Ratio [03 MARKS]
2. State and explain Lorentz force equation . [04 MARKS]

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3. Derive MAXWELL’s equation in point form. [07 MARKS]

Q.8

1. State and explain faraday’s law. [03 MARKS]
2. Explain : The Retarded Potentials [04 MARKS]
3. Evaluate a Poisson’s and Laplace’s Equations [07 MARKS]

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Date:22/01/2021

Total Marks: 56

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