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JNTU B.Tech II Year ELECTROMAGNETIC THEORY AND TRANSMISSION LINES Previous Question Paper (December - 2017 - R13)

B.Tech | II Year | II Semester | R13 | December - 2017

Answer PaperPaper Code: 114CUMaximum Marks: 75Time: 3 Hours

Note: This question paper contains two parts A and B. Part A is compulsory which carries 25 marks. Answer all questions in Part A. Part B consists of 5 Units. Answer any one full question from each unit. Each question carries 10 marks and may have a, b, c as sub questions.

Part A

125 marks
a

Find Electric field intensity due to the charge distribution ρv.

2 marks

Answer

The electric field intensity E due to a volume charge distribution ρv is given by the integral:

E = (1 / 4πε₀) ∫ (ρv / R²) aᵣ dV

where R is the distance from the differential volume element dV to the point of observation, and aᵣ is the unit vector pointing from the source to the observation point.

b

Write poisson’s and Laplace equations.

3 marks

Answer

Poisson’s equation is given by:

∇²V = -ρv / ε

Laplace’s equation, which applies in a charge-free region (ρv = 0), is:

∇²V = 0
c

State Biot-Savart’s law.

2 marks

Answer

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d

Calculate the self inductance per unit length of an infinitely long solenoid.

3 marks

Answer

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e

Write a wave equation in a lossy, charge free medium based on Maxwell’s Equation.

2 marks

Answer

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f

What is Brewster angle? Write its equation.

3 marks

Answer

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g

What is condition for distortion less transmission line?

2 marks

Answer

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h

Explain how Quarter wave transformer is used for matching?

3 marks

Answer

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i

What is the value of characteristic impedance and reflection coefficient for an open circuited line?

2 marks

Answer

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j

What are the characteristics of smith chart?

3 marks

Answer

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Part B

210 marks
a

Point charges 5nC and -2nC are located at (2,0,4) and (-3,0,5), respectively. Find the electric field at (1,-3,7).

5 marks

Answer

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b

Given that E=(3x2+y)ax+xay kV/m, find the work done in moving a –2µC charge from (0,5,0) to (2,-1,0) by taking the path.

5 marks

Answer

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OR
310 marks
a

An electric dipole of 100azpC.m is located at the origin. Find V and E at point (1,π/3,π/2).

5 marks

Answer

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b

Three point charges -1nC, 4nC, and 3nC are located at (0,0,0),(0,0,1) and (1,0,0) respectively. Find the energy in the system.

5 marks

Answer

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410 marks
a

A circular loop located on x2+y2=9, z=0 carries a direct current of 10A along aφ. Determine H at (0,0,4) and (0,0,-4).

5 marks

Answer

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b

In a certain conducting region, H=yz(x2+y2)ax-y2xzay+4x2y2az mA/m. Determine J at (5,2,-3).

5 marks

Answer

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OR
510 marks
a

State Maxwell’s equations in an integral and word form.

5 marks

Answer

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b

A unit normal vector from region 2 (µ=2µ0) to region 1 (µ=µ0) is an21=(6ax+2ay-3az)/7. If H1=10ax+ay+12az A/m and H2=H2xax-5ay+4az A/m. Determine H2x.

5 marks

Answer

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610 marks
a

A lossy material has µ=5µ0, ε=ε0. If at 5 MHz, the phase constant is 10 rad/m, calculate the loss tangent, conductivity of the material, complex permittivity attenuation constant and intrinsic impedance.

5 marks

Answer

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b

Derive the equation for intrinsic impedance in lossless dielectrics.

5 marks

Answer

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OR
710 marks
a

Determine the Fresnel coefficients for oblique incidence from lossless medium 1 to lossless medium 2 for parallel polarization.

5 marks

Answer

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b

Region 1 is a lossless medium for which y ≥ 0, µ=µ0, ε=4ε0, whereas region 2 is free space, y ≤ 0. If a plane wave E=5cos(108t+βy)az V/m exists in region 1, find the time average pointing vector.

5 marks

Answer

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810 marks
a

A transmission line operating at 500MHz has Z0=80Ω, Propagation constant=0.04 Np/m, β=1.5 rad/m. Find the line parameters R, L, G and C?

5 marks

Answer

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b

Find the Zin at any point on the line in terms load impedance starting from voltage and current wave equations on line.

5 marks

Answer

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OR
910 marks
a
Z0 = (120/sqrt(εr)) cosh-1(d/2a)

For a lossless two wire transmission line show that the Characteristic impedance given.

5 marks

Answer

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b

A lossless transmission line operating at 4.5GHz has L=2.4µH/m and Z0=85Ω. Calculate the phase constant and the phase velocity.

5 marks

Answer

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1010 marks
a

A 500Ω lossless line has VL=10ej25 V and ZL=50ej30Ω. Find the current at λ/4 from the load?

5 marks

Answer

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b

A 60 Ω air line operating at 20MHz is 10m long. If the input impedance is 90 +j150Ω. Calculate ZL, Γ and S.

5 marks

Answer

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OR
11

Explain how double stub is used for matching with suitable diagram? Derive equations for its length and location.

10 marks

Answer

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This page contains the question paper of ELECTROMAGNETIC THEORY AND TRANSMISSION LINES from JNTU for B.Tech ECE II Year II Semester, December - 2017, R13.

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