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JNTU B.Tech III ELECTROMAGNETIC THEORY AND TRANSMISSION LINES Previous Question Paper (July/August - 2023 - R16)

B.Tech | III | III-I | R16 | July/August - 2023

Answer PaperPaper Code: 135APMaximum Marks: 75Time: 3 Hours

Note: i) Question paper consists of Part A, Part B. ii) Part A is compulsory, which carries 25 marks. In Part A, Answer all questions. iii) In Part B, Answer any one question from each unit. Each question carries 10 marks and may have a, b as sub questions.

PART – A

125 marks
a

Calculate the capacitance of the Earth assuming it is a conducting sphere of radius R0 = 6,400 km.

2 marks

Answer

The capacitance C of an isolated conducting sphere of radius R is given by C = 4πε₀R. Given R₀ = 6.4 × 10⁶ m and ε₀ ≈ 8.854 × 10⁻¹² F/m, the calculation is C = 4 × π × 8.854 × 10⁻¹² × 6.4 × 10⁶ ≈ 711 μF.

b

Can there also be combinations of charge distributions? Give examples.

3 marks

Answer

Yes, charge distributions can be combined using the principle of superposition. Examples include a system consisting of a point charge placed near a charged infinite line, or a spherical charge distribution superimposed with a uniform volume charge density. In such cases, the total electric field is the vector sum of the fields produced by each individual distribution.

c

What is the difference between emf and voltage?

2 marks

Answer

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d

Why is Faraday's law important? What does it add to what we already know from magnetostatics and electrostatics?

3 marks

Answer

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e

Define polarization.

2 marks

Answer

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f

Write the difference between Reflection and Refleciton and Refraction of Plane Waves.

3 marks

Answer

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g

How do you define a finite transmission line?

2 marks

Answer

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h

Plot the voltage, current, line impedance, and reflection coefficient for a line with characteristic impedance Ro, load impedance 2Ro, and VL = Vo.

3 marks

Answer

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i

Write the application areas of Smith chart.

2 marks

Answer

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j

Illustrate Single Matching.

3 marks

Answer

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PART – B

210 marks
a

State Coulomb's law. Compare this law with the gravitational law.

5 marks

Answer

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b

The electric flux density outside a conductor is equal to the surface charge density on the conductor's surface. Expound why this must be so.

5 marks

Answer

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OR
310 marks
a

Derive Poisson's and Laplace's equations in cylindrical coordinates directly, using the expressions for the gradient of a scalar function.

5 marks

Answer

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b

Explain why capacitance is independent of the total charge and potential.

5 marks

Answer

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410 marks
a

Induced emf can be either dc or ac depending on the arrangement Transformer. Explain.

5 marks

Answer

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b

Describe why the magnetic vector potential is convenient to use in conjunction with the magnetic field.

5 marks

Answer

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OR
510 marks
a

A conductor of length 2L carries current I and is bent as in Figure. Calculate the magnetic flux density at point P.

2 marks

Answer

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b

Derive the Boundary conditions of the tangential and normal components of Magneto static fields at the boundary between two perfect dielectrics.

8 marks

Answer

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610 marks
a

Derive the wave equation in E and H for free space conditions.

5 marks

Answer

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b

What is Poynting vector? How is it useful in estimating power flow?

5 marks

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OR
710 marks
a

Discuss about the plane wave reflection at oblige incidence on a perfect dielectrics.

5 marks

Answer

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b

Write short notes on (i) Brewster angle (ii) Total Internal Reflection

5 marks

Answer

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810 marks
a

Derive the expression or attenuation constant and phase constant in a lossy Dielectric medium.

5 marks

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b

Expound the Distortionless Transmission Line.

5 marks

Answer

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OR
910 marks
a

Explain why the line parameters calculated per unit length lead to valid line equations even when the wavelength is much shorter than 1 m.

5 marks

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b

A transmission line has the following parameters: R= 2 ohm/m, G= 0.5 mmho/m, L= 8 nH/m, C= 0.23 pF. If the operating frequency is 1 GHz find the characteristic impedance of the line, propagation constant, attenuation and phase constant.

5 marks

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1010 marks
a

Describe the voltage reflection coefficient as well as the standing wave ratio. Determine their relationship.

6 marks

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b

A long power transmission line supplies 1500 MW at 750 kV to a matched load (that is, the load impedance equals the line impedance). (i) Suppose the load is disconnected. What is the reflection coefficient at the load? (ii) Because of a fault on the line, the load changes from the matched condition to ZL = 200 + j100 ohms. What is the reflection coefficient at the load now?

4 marks

Answer

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OR
1110 marks
a

Define Reflection Co-efficient and VSWR of a transmission line loaded with an impedance of zl and obtain an expression for the same in terms of z0 and zl.

6 marks

Answer

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b

A transmission line has propagation constant γ = 0.01 + j0.05, characteristic impedance Zo = 50Ω and a load ZL = 50 + j50 Ω is connected at one end. Calculate: i) The impedance on the line at the load. ii) The impedance at a distance of 10 m from the load. iii) Plot the line impedance as a function of distance from load.

4 marks

Answer

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