LONG ANSWER QUESTIONS
UNIT-I, NETWORK TOPOLOGY
1. For the following network,
i) Draw graph.
ii) Determine the incidence matrix.
iii) Determine the cutest matrix.
2. What is dot convention? For the following circuit, Determine currents I1 and I2.
3. a) Obtain an expression for coefficient of coupling.
b) Two coils A and B having turns 100 and 1000 respectively are wound side by side on closed circuit coil of X-section 8 cm2 and mean length 80 cm. The relative permeability of iron is 900. Calculate the mutual inductance between the coils.
4. Define coefficient of coupling and derive the relationship between self-inductances of two coils, mutual inductance between them and the coefficient of coupling.
5. For the given graph of network is shown in figure, write the
(i) incidence Matrix
(ii) f-cutset Matrix
6. For the circuit shown in Figure, draw the oriented graph and write the following.
(i) Incidence Matrix.
(ii) f-cutset Matrix.
(iii) Tieset Matrix.
7. Explain Self Inductance, Mutual Inductance and Co-efficient of coupling in detail? Give the relation between L1, L2, K & M?
8. Derive the coefficient of coupling for coupled circuits.
UNIT-II, TRANSIENT AND STEADY STATE ANALYSIS
1. a) Derive and draw the transient response of i(t) for a series RLC circuit with step input considering the critically damped case.
1. b) Explain RC circuit acting as a differentiator.
2. Derive the expression for i(t) of R-C series circuit when DC voltage in applied to it at t=0 by closing the switch. Define time constant of R-C circuit.
3. Derive the expression for i(t) of R-L series circuit when DC voltage in applied to it at t=0 by closing the switch. Define time constant of R-L circuit.
4. A coil having an inductance of 50 mH and resistance of 10 ohms is connected in series with a 25 μF capacitor across 200 V AC supply. Calculate: i) Resonant frequency ii) Current flowing at resonance iii) Quality factor
5. Obtain the expression for resonant frequency, bandwidth and Q-factor for Series R-L-C circuit.
6. a) Derive and draw the transient response of i(t) for a series RLC circuit with step input considering the under damped case.
6. b) Explain RC circuit acting as an integrator.
7. A series RLC circuit takes a maximum current of 0.3 A at 200 V, 50 Hz. If the voltage across the capacitor is 290V at resonance. Determine R,L,C and Q of the coil.
8. Obtain the expression for transient current in a R-L circuit is suddenly connected with a unit step function by closing the switch at t = 0.
UNIT-III, TWO PORT NETWORK PARAMETERS
1. a) Explain the Y-parameters for a two-port network with suitable example.
b) Determine the h- Parameters for the following data:
(i) With output shorted: V1=25V, I1=1A,I2=2A
(ii)With input terminals open circuited: V1=10V, V2=50V,I2=2A
2. a) Explain the Z-parameters for a two-port network with suitable example.
b) Determine the h- Parameters for the following data:
(i) With output shorted: V1=25V, I1=1A, I2=2A
(ii)With input terminals open circuited: V1=10V, V2=50V, I2=2A
3. Obtain Z parameters.
4. a) Explain about Impedance parameters.
b) Find the transmission parameters for the circuit shown in figure.
5. a) Derive the expressions for Y-parameters in terms of ABCD parameters.
b) Determine the y-parameters of the following network.
6. Derive the expressions for Y-parameters in terms of ABCD parameters.
7. a) Explain π to T transformation for two port networks.
b) Obtain the ABCD parameters of the following network
8. a) Explain T to π transformation for two port networks.
b) Obtain the ABCD parameters of the following network
UNIT-IV, FILTERS AND ATTENUATORS
1. a) Design a band pass filter with cutoff frequencies of 2000 Hz and 5000Hz with a design impedance of 500 ohms.
b) Derive the expression for cut-off frequency for low-pass filter.
2. Design m-derived low pass filter having cut off frequency of 1 KHz, design impedance of 400 ohm, and the resonant frequency 1100 KHz.
3. a) Derive the expression for characteristic impedance in a pass band filter
b) Design an m-derived T section low pass filter having a design impedance of 800 Ω, cut-off frequency of 4400 Hz and infinite attenuation at 2500 Hz.
4. Derive the design equations of symmetrical T attenuator and design it with a characteristic impedance of 200 Ω yielding an attenuation of 40 dB.
5. Explain about Constant-K high-pass filter in detail.
6. a) Explain about Propagation constant and Characteristic impedance in Π-network filters.
b) Design Low Pass Filter in both T& Π section having a cut off frequency of 2KHz to operate with a terminated load resistance of 500 Ω
7. Explain about Constant-K low-pass filter in detail.
8. a) Explain about classification of filters.
b) Explain about Propagation constant and Characteristic impedance in T-network filters.
UNIT-V, NETWORK SYNTHESIS
1. Determine the driving-point impedance and driving point admittance of the network shown in following Figure.
2. Find the first and second forms of Causer network for the function (s2+5s+4) / (s2+2s)
3. Test whether the following function is positive real or not.
4. Realize the Foster I and II forms of the following function
5. Explain the concept of elementary synthesis
a) Removal of a pole at infinity
b) Removal of a pole at origin.
6. a) Write the properties of Positive real function
b) Determine whether P(s)= S4+S3+2S2+3S+2 is Hurwitz.
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