B C1103 Pages: 3 APJ ABDUL KALAM TECHNOLOGICAL UNIVERSITY ...

B C1103 Pages: 3

of 3

Reg No.: Name:

APJ ABDUL KALAM TECHNOLOGICAL UNIVERSITY

THIRD SEMESTER B.TECH DEGREE EXAMINATION(S), MAY 2019

Course Code: EC201

Course Name: NETWORK THEORY

Max. Marks: 100 Duration: 3 Hours

PART A

Answer any two full questions, each carries 15 marks. Marks

1 a) Find the voltage across 10Ω resistor using mesh analysis.

( 8)

b) State and prove the following properties of Laplace transform i) Time Shifting ii)

Frequency Shifting

( 7)

2 a) Find current I using node analysis.

(8)

b) Determine the value of V2 such that the current through the impedance (3+j4)Ω is

zero.

(7)

B C1103 Pages: 3

of 3

3 a) Determine the voltage across 10Ω, connected between the terminals A and B, using

superposition theorem.

(9)

b) Using Thevenin’s theorem, find the power dissipated across 24Ω resistor.

(6)

PART B

Answer any two full questions, each carries 15 marks.

4 a) Obtain the transient current and voltage responses of a RL circuit when subjected to

a unit step input.

( 6)

b) Solve the differential equation subject to the

initial conditions .

(9 )

5 a) For the given network function, draw the pole-zero plot and hence, obtain its time

domain response from the plot.

(8)

b) A dc voltage of 100V is applied in the circuit shown in the figure and the switch, K

is kept open. The switch is closed at t=0. Find the resulting current.

(7)

6 a) Write down the necessary conditions for driving point functions. (6)

b) For the network shown, find the following and .

(9)

B C1103 Pages: 3

of 3

PART C

Answer any two full questions, each carries20 marks.

7 a) Show that the overall Y parameter, of two 2-port networks when connected in

parallel, is the sum of individual Y parameters of the two networks.

( 6)

b) Determine the transmission parameters of the two port network given below.

( 9)

c) Define the terms (i) Characteristic impedance (ii) Propagation Constant (5)

8 a) A series RLC circuit resonates at a frequency of 1500Hz and consumes 75W power

for 50V ac source at resonant frequency. The bandwidth is 0.75kHz. Calculate R, L

and C. Also calculate the maximum current and half power frequencies.

(10)

b) Obtain the open circuit Z parameters of the network shown in figure.

(10)

9 a) Derive the expressions for (i) maximum output voltage and (ii) maximum

amplification factor for a single tuned circuit.

(12)

b) Find the drop across the capacitor.

(8)

****

B R3904 Pages: 4

Page 1 of 4

Reg No.:_______________ Name:__________________________


THIRD SEMESTER B.TECH DEGREE EXAMINATION, DECEMBER 2018

Course Code: EC201

Course Name: NETWORK THEORY


PART A Answer any two full questions, each carries 15 marks. Marks

1 a) State and prove initial value theorem and final value theorem (8 )

b) Find the current through 8 Ω resistor in the network using Thevenin’s theorem

(7 )

2 a) Find the current through 2 Ω resistor using Mesh analysis

(8)

b) Find the current in the 100 Ω resistor using Nodal analysis

(7)

3 a) State and prove maximum power transfer theorem when the load impedance is a (8)

B R3904 Pages: 4

Page 2 of 4

complex impedance with variable resistance and variable reactance

b) Find the current through the 2 Ω resistor

(7)

PART B Answer any two full questions, each carries 15 marks.

4 a) Solve (8 )

b) The network shown has acquired steady state with the switch closed for t < 0.

At t = 0, the switch is opened. Obtain i(t) for t >0.

( 7)

5 a) For the network determine the voltage transfer function

(7)

B R3904 Pages: 4

Page 3 of 4

b) For the network shown determine . Plot the pole zero diagram of .

(8)

6 a) A rectangular voltage pulse of unit height and T second duration is applied to a

series RC network at t=0. Obtain the expression for curret i(t). Assume the

capacitor to be initially uncharged.

(7)

b) For the network shown plot poles and zeros of function I0/ Ii

(8)

B R3904 Pages: 4

Page 4 of 4

PART C Answer any two full questions, each carries 20 marks.

7 a) Find Z parameters for the network shown

(10)

b) Find the Y parameters of the network shown

(10)

8 a) Derive the resonance frequency for a series RLC circuit and give its power

factor, current and voltage at resonance

(10)

b) A series RLC circuit has a quality factor of 5 at 50 rad/s. The current flowing

through the circuit at resonance is 10 A and the supply voltage is 100 V. Find the

circuit constants R,L and C

(10)

9 a) Compare series and parallel resonant circuits (current, impedance, power factor,

resonant frequency and Q factor)

(10)

b) A coil of 10 Ω resistance and 2 H inductance is connected in parallel with a

variable capacitor across a 220 V, 50 Hz supply. Calculate (a) the capacitance of

the capacitor for the resonance, (b)the dynamic impedance of the circuit and

(c) supply current

(10)

*****

B B3B163 Pages: 5

Page 1 of 5

B3B053

Reg. No.______________ Name:______________________


THIRD SEMESTER B.TECH DEGREE EXAMINATION, JULY 2017

Course Code: EC 201

Course Name: NETWORK THEORY (AE,EC)

Max. Marks: 100 Duration:3 Hours

PART A

Question No. 1 is compulsory.

1. a) State Kirchhoff’s current law. (2)

b) Find the current in 100Ω resistor using nodal analysis. (5)

c) State super position theorem. (2)

d) Using super position theorem find the voltage across (2+j5)Ω impedance for the

network shown. (6)

2. a) Differentiate between (i) tree and co tree (ii) links and twigs. (2)

b) Determine Va and Vb, from the given circuit. (7)

B

c) In the network find the voltage across the 4

3. a) State and Prove maximum Power transfer theorem

b) Determine the maximum power delivered to the load

c) State and prove time integration theorem

d) Find Lapalce transform of (i)(1

4. a) In the network shown the switch is moved from a to b (

position a). Find v(f

B3B163

Page 2 of 5

c) In the network find the voltage across the 4Ω resistor.

OR

a) State and Prove maximum Power transfer theorem.

b) Determine the maximum power delivered to the load.

c) State and prove time integration theorem.

Lapalce transform of (i)(1-e-t)/t (ii)(t+1)2et

PART B


a) In the network shown the switch is moved from a to b (steady state was achieved in

f).

Pages: 5

(6)

(3)

(4)

(4)

(4)

teady state was achieved in

(6)

B B3B163 Pages: 5

Page 3 of 5

b) List any 5 properties of transfer functions. (5)

c) In the network shown, plot poles and zeros function of (I0/Ii) (4)

5. a) Find inverse Laplace transform of (2s+1)/(s2+2)(s+1). (4)

b) Solvey”-y= t, y(0)=1, y’(0)=0 (5)

c) For the network shown , find the current i(t) when the switch is changed from

position 1 to 2 at t=0

(6)

OR

6. a) Obtain the Z11 , V2/I1,V2/V1of the following network. (10)

B B3B163 Pages: 5

Page 4 of 5

b) Plot the magnitude and phase response for the transfer function, V2/V1 of an RC

two port network (Integrator) (5)

PART C


7. a) Find the transmission parameters for the two port network shown. (8)

b) Two identical sections of a network shown in the figure are connected in series.

obtain the Z parameters of the combination and verify by direct calculation (8)

c) Define resonance. Find the condition for resonance in a series RLC circuit (4)

8. a) For the network shown ,derive the open circuit admittance parameters and draw its

equivalent circuit (10)

b)Express Z parameters in terms of hybrid and inverse hybrid parameters. (10)

OR

9. a) A series RLC circuit has R=25Ω, L=0.41H, C=0.01µF. calculate the resonant

frequency.If 1V source of the same frequency as the resonant resonant frequency is

B B3B163 Pages: 5

Page 5 of 5

applied to this circuit, calculate the frequencies at which the voltage across L and Cis

maximum. Calculate the voltages. (8)

b) Consider a single tuned circuit. Determine the resonant frequency, the output

voltage at resonance and the maximum output voltage. Assume Rs>>ωrL1 and K=0.9

(12)

*****

B

Reg No.:_______________

APJ ABDUL KALAM TECHNOLOGICAL UNIVERSITYTHIRD SEMESTER B.TECH DEGREE EXAMINATION,

Course Name:

Max. Marks: 100

Answer 1 a) State and prove final value theorem and initial value theorems. b) Find the current in each resistor using the superposition theorem.

2 a) For the circuit shown in figure, find the current through 3 Ω using theorem

b) Use mesh analysis to find Vx in the circuit shown in figure

3 a) Use Thevenin’s theorem to find the current through 5Ω resistor

b) Find the Laplace transform of the sq

B7071

Page 1 of 3

Total Pages: Name:__________________________

APJ ABDUL KALAM TECHNOLOGICAL UNIVERSITYSEMESTER B.TECH DEGREE EXAMINATION, DECEMBER

Course Code: EC201

Course Name: NETWORK THEORY (EC, AE)

PART A Answer any two full questions, each carries 15 marks

State and prove final value theorem and initial value theorems. Find the current in each resistor using the superposition theorem.

For the circuit shown in figure, find the current through 3 Ω using

Use mesh analysis to find Vx in the circuit shown in figure

theorem to find the current through 5Ω resistor

Laplace transform of the square wave shown in figure

Total Pages: 3 Name:__________________________

APJ ABDUL KALAM TECHNOLOGICAL UNIVERSITY DECEMBER 2017

Duration: 3 Hours

marks. Marks

(7) (8)

For the circuit shown in figure, find the current through 3 Ω using Millmann’s (5)

(10)

(10)

uare wave shown in figure (5)

B

Answer any t

4 a) For the network shown in fig obtain the transfer functions Gdriving point impedance Z

b) Determine the transform impedance and admittance across capacitor5 a) For the circuit shown in figure , the switch was closed at time t=0, find the drop

across 10Ω

b) Derive the response of a series RLC circuit with step input.6 a) For the given network function, draw the pole zero diagram and hence obtain the

time domain response i(t).

b) Find the inverse Laplace

Answer any t

7 a) For the circuit shown below find the input impedance and also find the loop currents.

b) Define the terms Characteristic impedance, Image impedance and propagation constant

c) Find the expression for resonant frequency for the circuit shown below.

8 a) For the circuit shown below determine the equivalent reactance

b) Prove that AD-BC=1 for a two port bilateral network

B7071

Page 2 of 3

PART B any two full questions, each carries 15 marks

For the network shown in fig obtain the transfer functions G21

driving point impedance Z11(S).

Determine the transform impedance and admittance across capacitorFor the circuit shown in figure , the switch was closed at time t=0, find the drop

Derive the response of a series RLC circuit with step input.

the given network function, draw the pole zero diagram and hence obtain thetime domain response i(t).

I(S) = ____5s________ (s+1)(s2+4s+8)

Laplace transform of F(s)= 15s2-15s-11 (s+1)(s-2)3

PART C any two full questions, each carries 20 marks

For the circuit shown below find the input impedance and also find the loop

Define the terms Characteristic impedance, Image impedance and propagation

Find the expression for resonant frequency for the circuit shown below.

For the circuit shown below determine the equivalent reactance

BC=1 for a two port bilateral network

marks.

21(S), Z21(S) and (10)

Determine the transform impedance and admittance across capacitor (5) For the circuit shown in figure , the switch was closed at time t=0, find the drop (8)

(7) the given network function, draw the pole zero diagram and hence obtain the (10)

(5)

marks.

For the circuit shown below find the input impedance and also find the loop (8)

Define the terms Characteristic impedance, Image impedance and propagation (5)

Find the expression for resonant frequency for the circuit shown below. (7)

(5)

(7)

B

c) For the circuit shown in figure find the drop across the two inductor coils

9 a) A capacitor of 30μF and a resistance of 40Ω are connected in series with a coil having resistance 5 and Find the value of L. Also find the current at resonance, Q factor, half power frequencies and bandwidth.

b) For the circuit shown in figure find the expression for frequency at resonance.

B7071

Page 3 of 3

For the circuit shown in figure find the drop across the two inductor coils

A capacitor of 30μF and a resistance of 40Ω are connected in series with a coil having resistance 5 and inductance L. The circuit resonates at 1.5Khz frequency. Find the value of L. Also find the current at resonance, Q factor, half power frequencies and bandwidth.

For the circuit shown in figure find the expression for frequency at resonance.

****

For the circuit shown in figure find the drop across the two inductor coils.

(8)

A capacitor of 30μF and a resistance of 40Ω are connected in series with a coil inductance L. The circuit resonates at 1.5Khz frequency.

Find the value of L. Also find the current at resonance, Q factor, half power

(10)

For the circuit shown in figure find the expression for frequency at resonance. (10)

B B3B007 Total Pages:4

Page 1 of 4

Reg. No:____________ Name:__________________________


THIRD SEMESTER B.TECH DEGREE EXAMINATION, JANUARY 2017

Course Code: EC201

Course Name:NETWORK THEORY (AE, EC)


PART A

Question No. 1 is compulsory. Answer Question 2 or 3

1. a. Use nodal analysis to find vx in the circuit. (6)

b. Find the Thevenin equivalent of the network shown in figure. What power would be

delivered to a load of 100 ohms at a and b? (6)

c. State and prove maximum power transfer theorem. (3)

2. a. Obtain the expressions for the time-domain currents i1 and i2 in the circuit (8)

B B3B007

b. Explain source transformation

resistance.

3. a. Find the Thevenin equivalent circuit with respect to terminals

b. State and prove time differentiation and time integration theorems in Laplace Transform


4. a. Derive transient current and voltage responses

b. Explain how to determine the time domain behaviour from the pole

5. a. Find the current iL(t)

Page 2 of 4

source transformations and use it to determine the power dissipated by

1. OR

Find the Thevenin equivalent circuit with respect to terminals a

time differentiation and time integration theorems in Laplace Transform

PART B


current and voltage responses of sinusoidal driven RL and RC circuits

Explain how to determine the time domain behaviour from the pole

(t) for all t after the switch opens.

Total Pages:4

s and use it to determine the power dissipated by 1MΩ

(7)

a and b (9)

time differentiation and time integration theorems in Laplace Transform

(6)


driven RL and RC circuits. (10)

Explain how to determine the time domain behaviour from the pole - zero plot. (5)

(8)

B B3B007

b. Find vC(t) for t>0 in the circuit.

6. What are the restrictions on pole and zero locations for transfer functions and driving

functions.


7. a. Explain the series and parallel connection of two port networks

b. Derive the interrelationship between transmission and hybrid two port network parameters

c. For the network shown in figure find the resonant frequency.

8. a. Find yparameters for the two

Page 3 of 4

in the circuit.

OR

the restrictions on pole and zero locations for transfer functions and driving

PART C Question No. 7 is compulsory. Answer Question 8 or 9

. Explain the series and parallel connection of two port networks.

Derive the interrelationship between transmission and hybrid two port network parameters

For the network shown in figure find the resonant frequency.

Find yparameters for the two-port network shown in figure.

Total Pages:4

(7)

the restrictions on pole and zero locations for transfer functions and driving-point

(15)


(8)

Derive the interrelationship between transmission and hybrid two port network parameters.

(6)

(6)

(6)

B B3B007

b. Calculate h parameters for the two

c. Calculate transmission

9. a. Find V in the circuit

b. Find the time domain values of

c. Explain the following terms

(i) Bandwidth

Page 4 of 4

parameters for the two-port network shown in figure.

Calculate transmission parameters for the two-port network shown in figure

OR

circuit.

time domain values of currents marked in the circuit.

c. Explain the following terms

Bandwidth (ii) Q-factor (iii) Selectivity

Total Pages:4

. (7)

port network shown in figure. (7)

. (4)

. (10)

(6)

Selectivity

B C1103 Pages: 3 APJ ABDUL KALAM TECHNOLOGICAL UNIVERSITY ...

Documents

Transcript of B C1103 Pages: 3 APJ ABDUL KALAM TECHNOLOGICAL UNIVERSITY ...