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Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE) PDF Download

Q1: Two passive two-port network P and Q are connected as shown in the figure. The impedance matrix of network P is Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE) The admittance matrix of network Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE) Let the ABCD matrix of the two-port network R in the figure be Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE) The value of β in Ω is _______ (rounded off to 2 decimal places)      (2024)
Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)(a) -25.36
(b) -19.8
(c) -22.36
(d) -15.25
Ans: 
(b)
Sol: Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)From Zp matrix
Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)Convert Z-parameters in to ABCD parameters
Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)From equation (ii),
Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)Sub equation (iii) in equation (i),
Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)From equation (iii) and (iv),
Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)Convert Y-parameters to ABCD parameters From equation (vi),  
Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)Sub equation (vii) in equation (v),
Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)From equation (vii) and equation (viii),
Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)
Q2: The admittance parameters of the passive resistive two-port network shown in the figure are
y11 = 5 S, y22 = 1 S, y12 = y21 = −2.5 S  
The power delivered to the load resistor RL in Watt is ____ (Round off to 2 decimal places).     (2023)
Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)(a) 238
(b) 452.25
(c) 632.12
(d) 145.25
Ans:
(a)
Sol: Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)Equivalent circuit
Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)
Q3: In the two-port network shown, the h11 parameter (where, h11=  V1/I1, when V2 = 0) in ohms is _____________ (up to 2 decimal places).      (2018)
Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)(a) 0.25
(b) 0.5
(c) 0.75
(d) 0.85
Ans:
(b)
Sol: Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)By KCL,
Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)Substitute equation (ii) in equation (i) [/latex]
Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)
Q4: Two passive two-port networks are connected in cascade as shown in figure. A voltage source is connected at port 1.
Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)A1, B1, C1, D1, A2, B2, Cand D2 are the generalized circuit constants. If the Thevenin equivalent circuit at port 3 consists of a voltage source  VT and impedance ZT connected in series, then      (SET-1 (2017))
(a) Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)

(b) Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)
(c) Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)
(d) Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)
Ans: (d)
Sol: For two port network, we can write,
Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)
Q5: The z-parameters of the two port network shown in the figure are
 z11 = 40Ω, z12 = 60Ω, z21 = 80Ω and  z22 = 100Ω.
The average power delivered to R= 20Ω, in watts, is _______.      (SET-2 (2016))
Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)(a) 18.25
(b) 24.35
(c) 28.45
(d) 35.55
Ans: 
(d)
Sol: Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)From equation (i) and (iii), we get
Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)Using equation (ii) and (iv), we get
Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)From the figure,
Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)Power dissipated in
Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)
Q6: The driving point input impedance seen from the source Vs of the circuit shown below, in Ω, is ______.     (SET-2 (2016))
Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)(a) 10
(b) 20
(c) 30
(d) 40
Ans:
(b)
Sol: To find impedance seen by Vs
Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)Applying KCL at node A,
Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)
Q7: The driving point impedance Z(s) for the circuit shown below is     (SET-3 (2014))
Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)(a) Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)

(b) Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)
(c) Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)
(d) Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)
Ans: (a)
Sol: Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)Driving point impedance, Z(s) is ,
Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)
Q8: With 10 V dc connected at port A in the linear nonreciprocal two-port network shown below, the following were observed:
(i) 1 Ω connected at port B draws a current of 3 A
(ii) 2.5 Ω connected at port B draws a current of 2 A
Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)For the same network, with 6 V dc connected at port A, 1 Ω connected at port B draws 7/3 A. If 8 V dc is connected to port A, the open circuit voltage at port B is      (2012)
(a) 6 V
(b) 7 V
(c) 8 V
(d) 9 V
Ans: 
(b)
Sol: (i)
Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)
Q9: With 10 V dc connected at port A in the linear nonreciprocal two-port network shown below, the following were observed:
(i) 1 Ω connected at port B draws a current of 3 A
(ii) 2.5 Ω connected at port B draws a current of 2 A
Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)With 10 V dc connected at port A, the current drawn by 7 Ω connected at port B is     (2012)
(a) 3/7A
(b) 5/7A
(c) 1A
(d) 9/7A
Ans: 
(c)
Sol: Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)-ve sign is signifies that current is drawn.

Q10: The two-port network P shown in the figure has ports 1 and 2, denoted by terminals (a, b) and (c, d) respectively. It has an impedance matrix Z with parameters denoted by Zij. A 1 Ω resistor is connected in series with the network at port 1 as shown in the figure. The impedance matrix of the modified two-port network (shown as a dashed box ) is      (2010)
Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)(a)  Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)

(b) Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)
(c) Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)
(d) Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)
Ans: (c)
Sol: Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)As, 1Ω resistor is connected in series with the network as port-1.
Vdoes not get affected,  
Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)Modified Z-parameter Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)

Q11: The parameter type and the matrix representation of the relevant two port parameters that describe the circuit shown are     (2006)
Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)(a) z parameters, Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)

(b) h parameters,Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)
(c) g parameters,Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)
(d) z parameters,Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)
Ans: (c)
Sol: Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)Since port-1 is open circuit, I1 = 0
Port-2 is short-circuit, V2 = 0
𝐼1=0Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)
Q12: The parameters of the circuit shown in the figure are
Ri = 1 MΩ, Ro = 10 Ω, A = 10V/V.
If vi = 1μV, then output voltage, input impedance and output impedance respectively are     (2006)
Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)(a) 1V,  ∞, 10Ω
(b) 1 V, 0, 10Ω
(c) 1 V, 0, ∞
(d) 10 V, ∞, 10 Ω  
Ans:
(a)
Sol: Output voltage V0 = AVi
V0 = 10× 1 × 10−6 = 1V
To calculate input impedance, Vdc source is connected at input port  
Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)Ans: ΩInput impedance
Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)as loop is not closed, Ii = 0
So, Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)
To calculate output impedance, Vdc source is connected at output port.
Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)Output impedance,
Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)
Q13: Two networks are connected in cascade as shown in the figure. With usual notations the equivalent A, B, C and D constants are obtained. Given that, C = 0.025∠45°, the value of Z2 is     (2005)Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)(a) 10∠30°Ω
(b) 40∠−45°Ω
(c) 1 Ω
(d) 0 Ω
Ans:
(b)
Sol: Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)Putting I2 = 0 in equation (i)
Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)
Q14: For the two port network shown in the figure, the Z-matrix is given by    (2005)
Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)(a)  Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)

(b) Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)
(c) Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)
(d) Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)
Ans: (d)
Sol: Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)From above, we can write,
Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)
Q15: The Z-matrix of a 2-port network as given byPrevious Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)
The element Y22 of the corresponding Y-matrix of the same network is given by      (2004)
(a) 1.2
(b) 0.4
(c) -0.4
(d) 1.8
Ans: 
(d)
Sol: Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)
Q16: The h-parameters for a two-port network are defined by Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE) For the two-port network shown in figure, the value of h12 is given by        (2003)
Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)(a) 0.125
(b) 0.167
(c) 0.625
(d) 0.25
Ans:
(d)
Sol: Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)h12 is ratio of Eto E2 for the input open-circuited condition.
 Assuming I1 = 0
Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)
Q17: A two port network, shown in figure is described by the following equations
Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)The admittance parameters Y11, Y12, Y21, Y22 for the network shown are     (2002)
(a) 0.5 mho, 1 mho, 2 mho and 1 mho respectively
(b) 1/3 mho, -1/6 mho, -1/6 mho and 1/3 mho respectively
(c) 0.5 mho, 0.5 mho, 1.5 mho and 2 mho respectively
(d) -2/5 mho, -3/7 mho, 3/7 mho and 2/5 mho respectively
Ans: 
(b)
Sol: Using KVL,
E1 = 2I+ 2(I1+I2)
Again using KVL,
Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE)
Q18: A passive 2-port network is in a steady-state. Compared to its input, the steady state output can never offer      (2001)
(a) higher voltage
(b) lower impedance
(c) greater power
(d) better regulation
Ans:
(c)
Sol: For a passive two port network, output powe can never be grater than input power. 

The document Previous Year Questions- Two Port Network and Network Functions | Network Theory (Electric Circuits) - Electrical Engineering (EE) is a part of the Electrical Engineering (EE) Course Network Theory (Electric Circuits).
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FAQs on Previous Year Questions- Two Port Network and Network Functions - Network Theory (Electric Circuits) - Electrical Engineering (EE)

1. What is a two-port network and how is it different from a one-port network?
Ans. A two-port network is a circuit with two pairs of terminals, allowing for the independent control and measurement of voltage and current at each port. In contrast, a one-port network has only one pair of terminals, limiting the measurement and control possibilities.
2. How can we analyze a two-port network using network functions?
Ans. Network functions, such as impedance, admittance, hybrid, and transmission parameters, provide a convenient way to analyze and model the behavior of two-port networks. These functions help in understanding the relationship between input and output variables.
3. What are the advantages of using network functions in analyzing two-port networks?
Ans. Network functions simplify the analysis of complex two-port networks by providing a systematic approach to characterize their behavior. They allow for easy calculation of parameters like gain, impedance matching, and signal flow without the need for detailed circuit analysis.
4. How do we determine the transfer function of a two-port network?
Ans. The transfer function of a two-port network can be determined by finding the ratio of the output variables to the input variables in terms of network parameters. This transfer function helps in understanding how the network responds to different input signals.
5. Can network functions be used to analyze real-world circuits and systems?
Ans. Yes, network functions can be applied to analyze and design real-world circuits and systems, such as amplifiers, filters, and communication networks. By using network functions, engineers can predict the performance of these systems and optimize their design for specific requirements.
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