Subject Code: 2151002
GUJARAT TECHNOLOGICAL UNIVERSITY
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BE - SEMESTER-V (NEW) EXAMINATION - SUMMER 2019Subject Name: Engineering Electromagnetics
Time: 02:30 PM TO 05:00 PM Total Marks: 70
Instructions:
- Attempt all questions.
- Make suitable assumptions wherever necessary.
- Figures to the right indicate full marks.
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Q. | Question | Marks |
---|---|---|
Q.1 (a) | Define and explain DOT and CROSS products. | 03 |
Q.1 (b) | Compare Cylindrical and spherical co-ordinate systems. | 04 |
Q.1 (c) | The three vertices of a triangle are located at A(6, -1, 2), B(-2, 3, -4) and C(-3, 1, 5). Find: (a) RaB; (b) Rac; (c) the angle Opac at vertex A; (d) the (vector) projection of RAB on RAC. | 07 |
Q.2 (a) | Briefly explain streamlines and sketches of fields. | 03 |
Q.2 (b) | State and prove Divergence theorem. | 04 |
Q.2 (c) | Derive Maxwell’s first equation using Gauss’s law. | 07 |
OR | ||
Q.2 (a) | State and prove Gauss’s law. | 07 |
Q.3 (a) | State Coulombs Law. Also derive vector form of coulombs law. | 03 |
Q.3 (b) | A charge of —0.3 pC is located at A(25, -30, 15) (in cm), and a second charge of 0.5 uC is located at B(-10, 8, 12) (in cm). Find E at: (a) Origin, (b) P(15, 20, 50) (in cm). | 04 |
Q.3 (c) | Derive equation of electric field intensity due'to line charge. | 07 |
OR | ||
Q.3 (a) | Define potential and potential difference: | 03 |
Q.3 (b) | Infinite uniform line charges of 5 nC/m’lie along the (positive and negative) x and y axes in free space. Find E at: (a) A(0, 0,4); (b) (0, 3, 4). | 04 |
Q.3 (c) | State and explain Faraday’s law. | 07 |
Q.4 (a) | Explain measurement of curl'using curl meter. | 03 |
Q.4 (b) | Define and explain current and current density. | 04 |
Q.4 (c) | Write short note on'boundary conditions for metallic conductors. | 07 |
OR | ||
Q.4 (a) | Write Poisson’s and Laplace’s equations. | 03 |
Q.4 (b) | Briefly explain Hall effect. | 04 |
Q.4 (c) | Write short note on magnetic boundary conditions. | 07 |
Q.5 (a) | Write Maxwell’s equations in point and integral form. | 03 |
Q.5 (b) | Briefly explain skin effect. | 04 |
Q.5 (c) | State and explain Amperes circuital law. | 07 |
OR | ||
Q.5 (a) | For TEM waves, prove that E.H = 0. | 03 |
Q.5 (b) | Briefly explain stokes theorem. | 04 |
Q.5 (c) | State and explain Biot-Savart law. | 07 |
Date: 06/06/2019
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