JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD
JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD B.Tech II Year NETWORK THEORY Previous Question Paper (April/May - 2018 - R16)
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.
PART- A
Define the terms (i) planar graph (ii) non planar graph.
Answer
(i) A planar graph is a graph that can be drawn in a two-dimensional plane such that no two edges cross each other except at their common vertices. (ii) A non-planar graph is a graph that cannot be drawn in a plane without at least one pair of edges crossing each other.
Two coupled coils with N1=200 and N2=600 turns have a K=0.8. With coil 1 opened and current of 10 A in coil 2, the flux in coil 2 is 0.38 mWb. Find L1, L2 and M.
Answer
Given N1=200, N2=600, K=0.8, I2=10A, Φ2=0.38 mWb = 0.38 x 10^-3 Wb. The inductance L2 is calculated as:
Using the ratio of turns N1/N2 = sqrt(L1/L2):
Mutual inductance M is:
Obtain the relationship between phase voltages and line voltages in three phase balanced star system.
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Three identical impedances (3+j4) ohms are connected in a delta connection to a three phase, three wire 230 V ABC system. Find the line currents.
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Find Laplace transform of the rectangular signal with an amplitude of 1.0 units and a time period of T sec.
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Voltage across a capacitor cannot change instantaneously. Justify.
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A two port network has the following Z-parameters. Find h parameters.
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Write the necessary conditions for driving point and transfer function.
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Write the significance of cutoff frequency of a filter.
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A series low pass filter with a cutoff frequency 6 kHz is needed. Using R= 12 kΩ, calculate (i) C (ii) |H(jω)| at 25 kHz and (iii) angle of H(jω) at 25 kHz.
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PART-B
Obtain the Thevenin's equivalent circuit at terminals AB of the coupled circuit shown in Figure 1.
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Write the procedure to draw the dual network of RLC series circuit and construct its dual network.
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For the circuit shown in Figure 2 find the maximum power delivered to the load.
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For the graph shown in Figure 3 write the (i) incidence matrix and (ii) express branch voltages in terms of node voltages.
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A balanced star load with impedances of (9+j7) ohms to a three phase four wire 480 V ACB system. Find the line currents and total power.
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With a neat circuit diagram, explain measurement of power with two wattmeter method.
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Two wattmeters in line A and B of a 230 V, RYB system read 1500 W and 500 W respectively. Find the impedance of the balanced delta connected load.
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A three phase three wire 220 V, ABC system supplies a delta connected load where ZAB=(10-j10) ohm, ZBC=(12+J8) ohm and ZCA= 23 ohm. Find the current and the readings of wattmeters in lines A and C.
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A series RLC series circuit with R=5 ohm, L=0.1 H and C=500 micro F has a constant voltage V=25 V applied at t=0. Find the resulting current.
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Obtain the response of an RL series circuit when it is excited with ramp input.
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The switch is closed at t=0 connecting a voltage source V=V sinωt to a series RL series circuit. Derive an expression for i(t).
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From the fundamentals obtain the step response of a series RC circuit.
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Find Z-parameters of T-network with series branches of 4 ohm and a shunt branch of 8 ohm. Derive the necessary equations.
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Obtain Y parameters in terms of ABCD parameter of a two port network.
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Obtain input impedance, voltage and current transfer functions in terms of ABCD parameters of a typical two port network.
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The following direct current measurement were made on the two port network: Port 1 open (V1= 2 mV, I2= 40 µA), Port 1 short circuited (I1=-1 µA, V2=5 V, I2= 100 µA). Calculate h parameters of network.
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Draw the circuit diagram of series RL circuit that acts as a high pass filter. (i) Write an expression for the circuit transfer function (ii) Find the value of R and L that will yield a high pass filter with a cutoff frequency of 10 kHz.
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Explain in detail about constant K and m derived filters.
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With a neat sketch draw the magnitude response of (i) low pass and (ii) high pass filters. Justify your answer.
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Write short notes on band pass and RC filters.
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