Download PTU B.Tech 2020 March EE 2nd Sem Electromagnetic Fields Question Paper

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Roll No. Total No. of Pages : 02
Total No. of Questions : 09

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B.Tech. (EE) (PT) (Sem.-2)

ELECTROMAGNETIC FIELDS
Subject Code : BTEE-403
M.Code : 71538
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 & C have FOUR questions each.
3. Attempt any FIVE questions from SECTION B & C carrying EIGHT marks each.
4. Select atleast TWO questions from SECTION - B & C.

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SECTION-A

1. Write briefly :
   1. Write the mathematical expression of Laplacian Operator in Cartesian form.
   2. If B= X’y i + (x=y)k. Find Curl A? Where i and k are unit vectors?
   3. Calculate the electrostatic force between two protons in a nucleus of iron with which they repel each other. Assume Separation of 4x10^-15m between protons.
   4. Derive the expression for total energy density in static electric fields.

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   5. Identify the wave polarization of E= 25 sin (?t + 4x) (a_y + ja_z).
   6. Differentiate between critical angle and Brewster angle.
   7. An EM wave in free space has E(y,t) = 25 sin (10⁹t—y) a_z. Find direction of Propagation.
   8. Define Magnetic Vector Potential.
   9. Write down Mathematical expression for Continuity Equation.

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   10. The wave velocity in free space is 3 x 10⁸ m/s. Find the velocity of wave in the medium having dielectric constant 9.

SECTION-B

1. 1. State and Prove Stoke’s Theorem.
   2. A Vector V is called irrotational if Curl V=0. Determine constant a, b & c so that V=i(x + 2y +az) +j (bx — 3y — z) + k (4x + cy + 2z) is irrotational.

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2. 1. Derive the expression for Laplace and Poisson’s Equation.
   2. A parallel plate capacitor consists of two sheets of copper foil, each of area 0.1 m², separated by a 2.0mm thick sheet of plastic having relative permittivity of 2.1. Find the Capacitance.
3. 1. Explain Ampere’s Law of force.

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   2. Calculate the axial magnetic field due to a current I flowing through a circular loop of radius r at a distance d from the center along the axis.
4. Derive the Expression of the Wave equations for free space.

SECTION-C

1. Write down Maxwell’s Equations for time-varying fields in both differential and integral forms. Also write the word statements of these equations from the mathematical statements in integral form.

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2. The electric field E and magnetic field H in a source free, homogenous, isotropic region are given as E = 100 (j_x +2j_y — j_z) V and H= (—j_x+j_y+j_z) A/m. Estimate the average power flow density and its direction in the region where x,y,z are the unit vectors.
3. 1. Derive the relation between reflection coefficient and transmission coefficient at normal incidence in perfect dielectric.
   2. When a plane wave travelling in a free space is incident normally on a medium having dielectric constant is 4. Find the fraction of power transmitted in the medium.
4. Derive the expression for the Transformation between the Cartesian, Cylindrical and Spherical Coordinate Systems.

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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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