B.Tech Semester Regular Examinations June 2009 Network Analysis Exam Questions, Study notes of Network Theory

The questions from the b.tech semester regular examinations june 2009 for the network analysis subject, common to ece, eie, bme, e.cont.e, etm and ecc. The exam consists of 3 hours and has a maximum mark of 80. Students are required to answer any five questions, all of which carry equal marks.

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Code No: R07A1EC05 Set No. 1
I B.Tech Semester Regular Examinations, June 2009
NETWORK ANALYSIS
( Common to ECE,EIE,BME,E.CONT.E,ETM and ECC)
Time: 3 hours Max Marks: 80
Answer any FIVE Questions
All Questions carry equal marks
⋆⋆⋆⋆⋆
1. A bulb rated 110V, 60W is connected in series with another bulb rated 110V, 100W
across 220V mains. Calculate the resistance which should be shunted (parallel
connection) with the first bulb so that both the bulbs may take their rated power.
[16]
2. What is coefficient of coupling? How can it be varied? Derive an expression for the
same. [16]
3. A symmetrical 3 phase, 400 V system supplies a balanced mesh connected load.
The current in each branch circuit is 20A and the phase angle is 40deg lag. Find
(a) the line current
(b) the total power. [16]
4. For the given network draw the oriented graph and frame the cut-set matrix. As
shown in figure 4. [16]
Figure 4
5. Find the Norton’s equivalent across the terminals ab as shown in the figure 5. Hence
find current through 10 ohms. [16]
Figure 5
1 of 2
pf3
pf4
pf5
pf8

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I B.Tech Semester Regular Examinations, June 2009 NETWORK ANALYSIS ( Common to ECE,EIE,BME,E.CONT.E,ETM and ECC) Time: 3 hours Max Marks: 80 Answer any FIVE Questions All Questions carry equal marks ⋆ ⋆ ⋆ ⋆ ⋆

  1. A bulb rated 110V, 60W is connected in series with another bulb rated 110V, 100W across 220V mains. Calculate the resistance which should be shunted (parallel connection) with the first bulb so that both the bulbs may take their rated power. [16]
  2. What is coefficient of coupling? How can it be varied? Derive an expression for the same. [16]
  3. A symmetrical 3 phase, 400 V system supplies a balanced mesh connected load. The current in each branch circuit is 20A and the phase angle is 40deg lag. Find

(a) the line current (b) the total power. [16]

  1. For the given network draw the oriented graph and frame the cut-set matrix. As shown in figure 4. [16]

Figure 4

  1. Find the Norton’s equivalent across the terminals ab as shown in the figure 5. Hence find current through 10 ohms. [16]

Figure 5

  1. For a two port network Y 11 = 0.1, Y 22 = 0.05, Y 21 =-0.02. Calculate the parameters of the network. [16]
  2. In the circuit shown in figure 7, Eg (t) = 2.5 t Volts. What are the values of i(t) and VL(t) at t = 4 seconds. [16]

Figure 7

  1. Determine the cut - off frequency for the given π section LPF. As shown in figure

Figure 8 Also find m-derived sections to have resonance frequency of 3300 Hz. [16]

Figure 5

  1. Obtain the lattice equivalent of a symmetric

(a) T-network (b) π -network. [16]

  1. Derive an expression for the current response in RL series circuit with a sinusoidal source. [16]
  2. Categorize filters and explain. [16]

I B.Tech Semester Regular Examinations, June 2009 NETWORK ANALYSIS ( Common to ECE,EIE,BME,E.CONT.E,ETM and ECC) Time: 3 hours Max Marks: 80 Answer any FIVE Questions All Questions carry equal marks ⋆ ⋆ ⋆ ⋆ ⋆

  1. (a) Derive the expression for energy stored in an indicator. (b) A 50 ohm resistor is in parallel with a 100 ohm resistor. The current in 50 ohm resistor is 7.2A What is the value of third resistance to be added in parallel to make the line current as 12.1A? [6+10]
  2. What is coefficient of coupling? How can it be varied? Derive an expression for the same. [16]
  3. A parallel circuit has two branches, branch 1 has a resistance of 5 Ω connected in series with an inductance 10 mH. A capacitor is connected in branch 2, the parallel circuit is connected across a 230 V, 50Hz supply. If the circuit is to be in resonance find the value of the capacitance. Find the current drawn from the supply and also find the currents in branches 1 and 2. Draw the vector diagram. [16]
  4. (a) Discuss on the dot method of obtaining a dual network. (b) Draw the dual network of the circuit shown in figure 4. [16]

Figure 4

  1. Solve for current in 5 ohms resistor by principle of super position theorem. As shown in figure 5. [16]

I B.Tech Semester Regular Examinations, June 2009 NETWORK ANALYSIS ( Common to ECE,EIE,BME,E.CONT.E,ETM and ECC) Time: 3 hours Max Marks: 80 Answer any FIVE Questions All Questions carry equal marks ⋆ ⋆ ⋆ ⋆ ⋆

  1. (a) State Ohm’s law and Kirchoff’s voltage law. (b) Obtain the potential difference VAB in the circuit shown below using Kirchoffs laws. As shown in figure 1b. [6+10]

Figure 1b

  1. A 15 mH coil is connected in series with another coil. The total inductance is 70 mH. When one of the coils is reversed, the total inductance is 30 mH. Find the inductance of second coil, mutual inductance and coefficient of coupling. Derive the expression used. [16]
  2. Derive the expression for resonant frequency of a parallel circuit having R 1 and L in one branch and R 2 and C in the second branch. [16]
  3. Find the power delivered by the batteries in the figure 4 using mesh analysis. [16]

Figure 4

  1. Obtain Norton’s equivalent across terminals A and B for network shown in figure
    1. [16]

Figure 5

  1. For a two port network Y 11 = 0.1, Y 22 = 0.05, Y 21 =-0.02. Calculate the parameters of the network. [16]
  2. Derive an expression for the current response in RL series circuit with a sinusoidal source. [16]
  3. Determine the cut - off frequency for the given π section LPF. As shown in figure

Figure 8 Also find m-derived sections to have resonance frequency of 3300 Hz. [16]