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GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER- VI (Old) EXAMINATION - WINTER 2019
Subject Code: 160906 Date: 09/12/2019 --- Content provided by FirstRanker.com ---
Subject Name: Theory of Electromagnetics
Time: 02:30 PM TO 05:00 PM Total Marks: 70
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Instructions:
- Attempt all questions.
- Make suitable assumptions wherever necessary.
- Figures to the right indicate full marks.
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Q.1 (a) Explain dot product and cross product of two vectors. If the vector field G=y ax-
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2.5x ay+3a; and the point Q (4, 5 ,2 ),find the vector component of G at Q in the
direction of ay=1/3 (| 2axt+ ay- a ). [07]
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(b) FindV-AandV x A at P(2,-1,3),if A=2xyax + zay + yz*a.. [07]
Q.2 (a) State Coulomb’s law of electric for various type of charge distribution [07]
(b) Define divergence and its physical significance. [07]
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OR
(b) Explain boundary condition for dielectric material. [07]
Q.3 (a) State and explain Biot-Savart’s law for static magnetic fields as applied to
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different types of current distribution [07](b) Derive the expression of Electric field intensity (E) due to infinite uniform sheet
charge distribution in free space. [07]
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OR
Q.3 (a) Derive the equation of Electric field intensity (E) due to infinite long line charge
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located on the Z axis. [07](b) A current element [ AL =2m (0.6 ax-0.8ay) pt A 1s situated at a point (4, -2,3). Find
the incremental field AH at a point (1,3,2). [07]
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Q.4 (a) Explain Ampere’s circuital law. [07]
(b) Derive the expression curl H = J. [07]
OR
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Q.4 (a) State and explain Stokes theorem. [07]
(b) State and Explain Lorentz force equation on charge particle and explain the
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concept of magnetic torque [07]Q.5 (a) Derive Poisson’s and Laplace’s equation [07]
(b) Explain concept of potential gradient and prove that E=-V V [07]
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OR
Q.5 (a) States explain Gauss’s law. Obtain electric field intensity of line charge using
Gauss’s law [07]
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(b) Write Maxwell equation in point form and in integral form. [07]
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