Download GTU BE/B.Tech 2019 Winter 5th Sem New 2151002 Engineering Electromagnetics Question Paper

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

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Subject Code: 2151002 Date: 25/11/2019
Subject Name: Engineering Electromagnetics
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 (a) Derive relationship between J & E for a metallic conductor. [03]
(b) With the help of necessary formulas, explain conversion among various coordinate systems. [04]
(c) Derive the boundary conditions at the interface between two dielectric materials with permittivities €1 and €2. [07]

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Q.2 (a) Transform the vector A= yax— xay + za, into cylindrical coordinates. [03]
(b) Given the potential V = (10/r²)sin?cosf . Find D at P(1,0,p/2) and Q(2, p/2,0). [04]
(c) Derive expression for E for infinitely long line charge distribution. [07]

OR

(c) Evaluate both sides of divergence theorem for field D = 2xyax+ x²ay C/m² and rectangular parallelepiped formed by planes x=0&1,y=0&2 & z=0&3. [07]

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Q.3 (a) Derive Lorentz force equation. [03]
(b) Write a note on permeability. [04]
(c) Derive the expression of capacitance for following capacitors: a) parallel plate capacitor b) co-axial capacitor c) spherical capacitor. [07]

OR

Q.3 (a) State and explain Biot Savart’s law. [03]

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(b) Write a note on Magnetization. [04]
(c) Three infinite uniform sheets of charges are located in the free space as follows: 3nC/m² at z=- 4 , 6nC/m² at z=1 & -8nC/m² at z=4. Determine E at point P(2,5,-5) & Q(4.2,-3). [07]

Q.4 (a) Write a short note on “Skineffect”. [03]
(b) What is dipole? Derive expression for electric field intensity E due to an electric dipole. [04]
(c) Define magnetic flux and magnetic field intensity. Also explain magnetic boundary conditions in brief. [07]

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OR

Q.4 (a) Write a short note on “The retarded potentials”. [03]
(b) Explain uniqueness theorem in brief. [04]
(c) Define the term curl. Also explain the point form of Ampere’s Circuital Law. [07]

Q.5 (a) Explain the wave motion in free space. [03]

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(b) For TEM waves, prove that E * H=0 [04]
(c) Enlist all four Maxwell’s equations in point form and starting from Gauss law derive the Maxwell’s equation V ·D = ?v. [07]

OR

Q.5 (a) Explain Stoke’s theorem. [03]
(b) Explain vector magnetic potential in detail. [04]

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(c) State and prove pointing theorem relating to the flow of energy at a point in space in an electromagnetic field. [07]