Download GTU BE/B.Tech 2019 Summer 5th Sem Old 151002 Engineering Electromagnetics Question Paper

Enrolment No.

GUJARAT TECHNOLOGICAL UNIVERSITY

BE - SEMESTER-V (OLD) EXAMINATION - SUMMER 2019

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Subject Code: 151002 Date: 31/05/2019

Subject Name: Engineering Electromagnetics

Time: 02:30 PM TO 05:00 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 (a) Define Coulomb’s law. Derive the expression for the intensity of electric field due to a line charge along the Z direction with uniform charge density p. ¢/m. 07

(b) State and prove Uniqueness theorem. 07

Q.2 (a) Derive the expression of gradient of scalar field in all the systems and list computational formulas on gradient. 07

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(b) Given point P(-2,6,3) and vector A= yax + (X + z)ay, express P in cylindrical and Spherical coordinates. Evaluate A at P in the Cartesian and Cylindrical systems. 07

OR

(b) Determine the divergence of these vector fields. 07

1. P=x’yzay+xza,
2. Q=p sing a, + p? z ap + z cosO a,

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3. T = 1/r? cos0 a, + r sind cos@ ap + cos0 ag

Q.3 (a) Define electric dipole. Derive expression for electric field intensity at point ‘P’ at distance ‘r’ from center of dipole at origin along Z axis 07

(b) Describe the electric boundary condition between free space and conductor. Explain the importance of boundary condition. 07

OR

Q.3 (a) Write Maxwell’s equation in point and integral form, also explain its significance. 07

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(b) Derive Poisson’s and Laplace’s equations and states their applications. 07

Q.4 (a) State Ampere’s circuit law and derive the expression for curl of magnetic field intensity. 07

(b) State and derive Biot- Savart’s law 07

OR

Q.4 (a) Using Ampere’s circuit law, derive an expression for H due to infinite sheet of current. 07

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(b) Explain Faraday’s law in detail with neat diagram. 07

Q.5 (a) Define lossy dielectric medium. Derive expression for attenuation constant and phase constant for the same. 07

(b) A parallel plate capacitor with plate area of 5 cm? and plate separation of 3mm has a voltage of 50 sin10% V applied to its plates. Calculate the displacement current assuming € = 2¢o. 07

OR

Q.5 (a) State and derive Poynting’s theorem. 07

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(b) In a nonmagnetic medium 07

E=4 sin(2n X 10"t — 0.8x) a, V/m

Find

1. e.n
2. The time average power carried by the wave.

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3. The total power crossing 100 cm? of plane 2x +y =5

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