Download PTU B.Tech 2021 Jan EEE 3rd Sem 76466 Electromagnetic Fields Question Paper

Roll No. ???????? Total No. of Pages : 02

Total No. of Questions : 18

B.Tech. (Electrical & Electronics Engg./Electronics & Electrical Engg.)

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(2018 Batch) (Sem.-3)

ELECTROMAGNETIC FIELDS

Subject Code : BTEEE-304-18

M.Code : 76466

Time : 3 Hrs. Max. Marks : 60

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INSTRUCTIONS TO CANDIDATES :

1. SECTION-A is COMPULSORY consisting of TEN questions carrying TWO marks each.
2. SECTION-B contains FIVE questions carrying FIVE marks each and students have to attempt any FOUR questions.
3. SECTION-C contains THREE questions carrying TEN marks each and students have to attempt any TWO questions.

SECTION-A

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1. State divergence theorem.
2. Distinguish between transformer and motional emf.
3. Derive the expression for divergence of a vector field in cylindrical coordinate system.
4. Explain skin depth.
5. If A = 2ax + 4ay and B = 6ax + 4az. Find the smaller angle between them using cross product. Verify if using dot product.

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6. Find D at P (6, 8 -10) due to a point charge of 50 mC at origin.
7. State the significance of displacement current in the context of Maxwell's equations.
8. Calculate the Poynting vector at the surface of a cylindrical conductor of radius 'a' and conductivity s carrying a steady current I distributed uniformly over its cross section.
9. Deduce Coulomb's law from Gauss's law.
10. Transform A = yax + xay + x²/(x²+y²) az to cylindrical coordinates.

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SECTION-B

11. If the two vectors are represented by :

    A = 5ar + 2a? - af

    B = ar - 3a? + 4af

    Find :

    1. A x B

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    2. Angle between A and B
    3. Unit vector normal to the plane containing both A and B
    4. Vector projection of A on B.
12. Prove the vector identity: ?²A = ?(?.A) - ?x?xA.

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13. State the necessity of magnetic vector potential for magneto-static fields.
14. Use Laplace equation to obtain the capacitance for a coaxial capacitor. Assume suitable coordinate system and boundary values.
15. A wire in the form of a parabola carries current 3A. Calculate the magnitude of the magnetic field intensity at its focus if the distance from the focus to the apex (or vertex) is 20 cm.

SECTION-C

16. Derive both differential and integral forms of Ampere's Circuital Law for time-varying and time-harmonic fields.

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17. Derive the expressions for a, ß and ? for a lossy dielectric medium.
18. A non-magnetic medium has an intrinsic impedance of 240?30°. Find -
    1. Loss tangent
    2. Dielectric constant
    3. Complex permittivity
    4. Attenuation constant at 1 MHz.

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NOTE: Disclosure of Identity by writing Mobile No. or Making of passing request on any page of Answer Sheet will lead to UMC against the Student.

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