Download GTU BE/B.Tech 2018 Winter 4th Sem New 2140909 Field Theory Question Paper

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Subject Code: 2140909

GUJARAT TECHNOLOGICAL UNIVERSITY

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Instructions:

1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.

1. 1. State and Explain Coulomb’s law [03]

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   2. Define unit vector and explain it in each co-ordinate system. [04]
   3. Explain spherical co-ordinate system and give relationship between Cartesian and spherical co-ordinate system. [07]
2. 1. State parameters of transmission line and give difference between lumped parameters and distributed parameters. [03]
   2. State and explain Gauss’s law. [04]

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   3. Explain Physical meaning of divergence and state it’s properties. [07]

   OR

   1. Obtain equation for flux density due to infinite line charge using Gauss’s law [07]
   2. Explain Electrical dipole. [03]
   3. Explain phenomenon of polarization. [04]

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3. 1. Two uniform line charges of density p; = 4nc/m lie on the x=0 plane and Y = +4 are parallel to Z-axis. Find E at (4,0,10) m. [07]
   2. Define conservative field. [03]
   3. State Maxwell’s equation in point form and integral form for static electromagnetic field. [04]

   OR

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   1. A dielectric-free space interface has the equation 3x + 2y + z = 12 m. The origin side of the interface has €,, = 3.0and E; = 2a, + 5a, v/m. Find E, . [07]
   2. Define displacement current and current density. [03]
   3. State and Explain Ampere circuit law. [04]
4. 1. Derive the expression for potential difference duce to infinite line charge. [07]

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   2. Write Effect of Electromagnetic Interference. [03]
   3. State and explain.Stoke’s Theorem. [04]

   OR

   1. Define relaxation time and derive equation for Relaxation time. [07]
   2. Explain difference between steady magnetic field and time varying magnetic field. [03]

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   3. Let Vy(r,0,0) = % and V,(r,0,0) = 3. State weather V;,V, satisfied Laplace’s equation. [04]
5. 1. Derive transmission line equation with help of equivalent circuit. [07]
   2. Write sources of Electromagnetic Interference. [03]
   3. A circular loop located on x? + y? = 25, Z=0 carries a direct current of 10 A along @y Determine H at (0,0,4) and (0,0,-4) [04]

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   OR

   1. State and Explain Lorentz force equation on charged particles. [07]

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