Jawaharlal Nehru Technological University Hyderabad

Jawaharlal Nehru Technological University Hyderabad B.Tech II NETWORK ANALYSIS AND TRANSMISSION LINES Previous Question Paper (September 2021 - R18)

B.Tech | II | I | R18 | September 2021

Answer PaperPaper Code: 153BHMaximum Marks: 75Time: 3 hours

Answer any five questions. All questions carry equal marks.

Main

115 marks
a

Discuss the dot convention used in magnetically coupled coils.

7 marks

Answer

The dot convention is a graphical method used to determine the polarity of the induced voltage in magnetically coupled coils without requiring knowledge of the physical winding direction. When current enters the dotted terminal of one coil, it produces a magnetic flux that adds to the flux produced by current entering the dotted terminal of the coupled coil. The convention follows two primary rules:

  1. If a time-varying current enters the dotted terminal of one coil, the reference polarity of the mutual voltage in the second coil is positive at its dotted terminal.
  2. If a current enters the undotted terminal of one coil, the reference polarity of the mutual voltage in the second coil is positive at its undotted terminal.
Essentially, dots indicate terminals of the same instantaneous polarity; if currents both enter or both leave dotted terminals, the mutual flux reinforces the self-flux, resulting in positive mutual inductance.

b

An iron ring of 0.25 meter diameter and 2 × 10-3 sq. m. in cross section with a saw cut 1.5 mm wide is wound with 150 turns of copper wire. The air gap flux density is 0.7 Tesla. The relative permeability of iron is 800. Calculate the exciting current. Ignore the leakage.

8 marks

Answer

Given: Mean diameter D = 0.25 m, Area A = 2 × 10-3 m2, Air gap length lg = 1.5 × 10-3 m, Turns N = 150, Flux density B = 0.7 T, Relative permeability μr = 800.

1. Calculate the length of the iron path (li):

li = πD - lg = π × 0.25 - 0.0015 ≈ 0.7854 - 0.0015 = 0.7839 m

2. Calculate the MMF required for the air gap (Fg):

Fg = Hg × lg = (B / μ0) × lg = (0.7 / (4π × 10-7)) × 0.0015 ≈ 835.65 AT

3. Calculate the MMF required for the iron path (Fi):

Fi = Hi × li = (B / (μ0 × μr)) × li = (0.7 / (4π × 10-7 × 800)) × 0.7839 ≈ 546.61 AT

4. Total MMF (Ftotal) and Exciting Current (I):

Ftotal = Fg + Fi = 835.65 + 546.61 = 1382.26 AT
I = Ftotal / N = 1382.26 / 150 ≈ 9.215 A

The exciting current required is approximately 9.22 Amperes.

215 marks
a

Define the following: (i) node (ii) branch (iii) tree.

6 marks

Answer

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b

For the network shown in figure 1, obtain the incidence matrix and determine the relationship between loop and branch currents.

9 marks

Answer

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3

A sinusoidal voltage 25 sin10t is applied at time t= 0 to a series R-L circuit shown in figure 2, consisting of R = 5Ω and inductor L = 1 Henry. Find the value of i (t). Assume no current through the inductor before application of voltage.

15 marks

Answer

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415 marks
a

Obtain an expression for transient current in a R-L circuit is suddenly connected with a unit step function by closing the switch at t = 0.

8 marks

Answer

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b

A series RLC circuit has a quality factor of 5 at 50 rad/sec. The current flowing through the circuit at resonance is 10 A and the supply voltage is 100V. Find the circuit constants.

7 marks

Answer

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515 marks
a

Explain different parameters to be considered for design of attenuators.

8 marks

Answer

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b

Draw the symmetrical T and π sections and their decomposition into L sections.

7 marks

Answer

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615 marks
a

The network equations for two- port network give the current I1 and I2 at the two ports as I1 = 0.25V1 – 0.2 V2 and I2 = -0.2V1 + 0.1 V2. Determine the Y and ABCD parameters for the network.

7 marks

Answer

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b

Find the Z-parameters for the resistive network shown in figure 3.

8 marks

Answer

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7

Derive the equation of attenuation constant and phase constant of Transmission Line in terms of R, L, C and G.

15 marks

Answer

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815 marks
a

Find the reflection coefficient of a 50 Ω transmission line when it is terminated by a load impedance of (60+j 40) Ω.

8 marks

Answer

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b

Mention the disadvantages of single stub matching.

7 marks

Answer

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