Network Analysis OLD
Network Analysis OLD
Network Analysis OLD
NETWORK ANALYSIS
II ECE A, B AND C SECTIONS I SEM
UNIT-1
1. a) Differentiate between planar and non planar graphs with suitable examples? 2M
UNIT-2
1. a) What are initial conditions? 2M
b) Explain the procedure to evaluate initial conditions? 3M
c) A series RL circuit with R=50 ohms and L=10H has a constant voltage V=100V applied at 5M
t=0 by the closing of the switch. Find i) the equation of I, VR and VL. ii)the current at t=0.5
seconds and iii) the time at which VR=VL.
d) A series RL circuit with R=5000 ohms and C=20µF has a constant voltage V=100V applied 5M
at t=0 and the capacitor has no initial charge. Find the equations of I, VR and VC.
2. a) Define Resonance? What are the types of resonance circuits? 2M
b) Derive an expression for response in a R-C circuit excited by a d.c. source. 3M
c) Show that the resonant frequency ωo of a series RLC circuit is the geometric mean of ω1 and 5M
ω2, the lower and upper half power frequencies?
d) Given a series RLC circuit with R = 10 ohms, L = 1 mH and C = 1 μF is connected across a 5M
sinusoidal source of 20 V with variable frequency. Find: i) The resonant frequency
ii) Q-factor of the circuit at resonant frequency iii) Half power
Frequencies.
3. a) Define Bandwidth and Quality factor. 2M
b) Derive the expression for voltage and current in a series connected RL Circuits. 3M
c) A series-connected RLC circuit has R = 4 Ω and L = 25 mH: 5M
i) Calculate the value of C that will produce a quality factor of 50.
ii) Find ω1, ω2, and B.
iii) Determine the average power dissipated at ω = ω0, ω1, ω2. Take Vm = 100 V.
d) Given a series RLC circuit with R = 100 ohms, L = 0.5 H and C = 40 μF, 5M
Calculate the resonant, lower and upper half – power frequencies.
4. a) For the circuit shown in figure, if v=10e-4t V and i= 0.2e-4t A, t>0, find R and C? 2M
b) A constant voltage is applied to a series RL circuit at t = 0. The voltage across the inductor at 3M
t = 3.46 ms is 20 V and 5 V at t = 25 ms. Obtain R if L= 2H.
c) An impedance Z1 = 10 + j10 Ω is connected in parallel with another impedance of resistance 5M
8.5 Ω and a variable capacitance connected in series. Find C such that the circuit is in
resonance at 5 KHz.
d) Derive and draw the response of a series RLC circuit for step input. 5M
5. a) For the series connected RL circuit shown in figure find i(t), the inductor has a current of 2A 2M
at t=0.
d) Find the value of L for which the circuit of figure shown is resonant at a frequency of 5M
ω=5000 radians /sec.
UNIT-3
1. a) Define Laplace transform of a function f(t)? 2M
b) Explain the advantage of using Laplace transform method? 3M
c) Derive an expression for the response in the system in Figure 1 by time domain and Laplace 5M
transform techniques. Cross check the answer. V(t)=5Sin(103t+π/6)?
Figure 1.
d) Derive the expression for the transient response of RC series circuit excited by a sinusoidal 5M
excitation. Use Laplace transform approach
2. a) State initial value theorem and final value theorem? 2M
b) Define and explain the characteristics of unit step function? 3M
c) A sinusoidal voltage of 100Sin50t is applied to a series circuit of R = 15Ω and L = 2.5H at 5M
t=0 is shown in Figure 2. By Laplace transform method, determine the current i(t) for all t≥0.
Assume zero initial conditions.
Figure 2.
d) State and prove the convolution theorem of Laplace transform? 5M
3. a) List the properties of Laplace Transform? 2M
b) Define and explain the characteristics of unit ramp function? 3M
c) Find the Laplace transform of exp(-at)sinωt? 5M
d) Derive the Laplace transforms of standard time functions? 5M
4. a) Derive the relation between RMS and maximum value? 2M
b) Define and explain the characteristics of unit impulse function? 3M
c) Find the Laplace transform of exp(-at)cosωt? 5M
d) Find the Laplace transform of the following waveform? 5M
UNIT-4
1. a) What is a two port network? 2M
b) What is a symmetrical network? 3M
c) Find the Z-parameters for the circuit in Figure.3. 5M
Figure.1.
d) 5M
2. a) What is a reciprocal network? 2M
b) Define characteristic impedance. 3M
c) Find y-parameters for the circuit in Figure.2. 5M
Figure.2.
.
Figure.3.
d) Express h-parameters in terms of ABCD parameters. 5M
4. a) State the properties of driving point impedance of LC Network? 2M
b) Explain different types of interconnection of two ports? 3M
c) Find the abcd-parameters for the circuit in Figure.4 5M
Figure.4
d) Express Z parameters in terms of ABCD parameters. 5M
5. a) State the properties of driving point impedance of RC network? 2M
b) Define image and iterative impedance.? 3M
c) 5M
Figure.4
UNIT-5
1. a) Define Foster’s reactance theorem? 2M
b) Write short notes on m-derived filters? 3M
c) Draw the circuit diagram of a High pass filter. Explain the design procedure of the above 5M
filter in detail.
d) Design k-type band pass filter having a design impedance of 500 and cut-off 5M
frequencies 1 kHz and 10 kHz.