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Unit 4 - Practice Quiz

ELE205

1 Which of the following functions is defined as 1 for and 0 for ?

A. Unit Impulse Function
B. Unit Ramp Function
C. Unit Step Function
D. Gate Function

2 The derivative of the unit step function results in which singularity function?

A. Unit Ramp Function
B. Unit Impulse Function
C. Unit Parabolic Function
D. Gate Function

3 The Laplace transform of the unit impulse function is:

A. $1$
B.
C.
D.

4 A shifted unit step function that starts at is denoted as:

A.
B.
C.
D.

5 A Gate function (or pulse function) of width starting at can be represented in terms of unit step functions as:

A.
B.
C.
D.

6 For a network function , the roots of the equation are called:

A. Zeros
B. Poles
C. Residues
D. Scale factors

7 If a network function has a pole at , what is the physical significance in the time domain response?

A. It determines the magnitude of the response.
B. It represents a natural mode or frequency of the system (e.g., ).
C. It blocks frequencies at that point.
D. It determines the initial condition.

8 A Driving Point Impedance function relates:

A. Voltage at one port to current at another port.
B. Voltage at a port to the current at the same port.
C. Current at one port to voltage at another port.
D. Voltage at port 1 to voltage at port 2.

9 For a network to be stable, all poles of its transfer function must lie:

A. On the right half of the s-plane.
B. On the imaginary axis only.
C. On the left half of the s-plane.
D. At the origin.

10 In a Transfer Function , the roots of the numerator determine:

A. Frequencies of infinite gain.
B. Frequencies of zero transmission (transmission zeros).
C. System stability.
D. Time constants.

11 Which of the following is a necessary condition for a function to be a Driving Point Impedance of a passive network?

A. The real part of the poles must be positive.
B. The coefficients of the polynomials in the numerator and denominator can be negative.
C. It must be a Positive Real (PR) function.
D. The degree of numerator and denominator must differ by at least 2.

12 For a rational network function to be physically realizable, the highest degree of and can differ by at most:

A.
B. 1
C. 2
D. Infinity

13 If a driving point function represents a purely LC (Lossless) network, the poles and zeros must lie:

A. On the real axis.
B. On the imaginary axis.
C. In the left half plane (complex conjugate).
D. Anywhere in the s-plane.

14 Which of the following describes the condition for poles on the imaginary axis for a Positive Real function?

A. They must be multiple (repeated).
B. They must be simple and have real, positive residues.
C. They must have negative residues.
D. They must be complex.

15 The Z-parameters are also known as:

A. Short-circuit admittance parameters
B. Open-circuit impedance parameters
C. Transmission parameters
D. Hybrid parameters

16 The defining equations for Z-parameters are:

A. and
B. and
C. and
D. and

17 The parameter is defined as:

A.
B.
C.
D.

18 The Y-parameters are also known as:

A. Open-circuit impedance parameters
B. Transmission parameters
C. Short-circuit admittance parameters
D. Inverse hybrid parameters

19 The defining equations for Y-parameters are:

A. and
B. and
C.
D.

20 The parameter is defined as:

A.
B.
C.
D.

21 The ABCD parameters are primarily used for:

A. Series connection of two ports
B. Parallel connection of two ports
C. Cascade (Series-Parallel) connection
D. Cascade (Chain) connection of two ports

22 The defining equations for Transmission (ABCD) parameters are (assuming leaves the network):

A. and
B. and
C. and
D. and

23 The unit of the parameter in the ABCD matrix is:

A. Dimensionless
B. Mho (Siemens)
C. Ohm
D. Volt

24 The unit of the parameter in the ABCD matrix is:

A. Ohm
B. Mho (Siemens)
C. Dimensionless
D. Ampere

25 Why are 'h' parameters called 'hybrid' parameters?

A. They are used only in hybrid cars.
B. They mix Z and Y parameters (Volts and Amps are mixed in inputs and outputs).
C. They are calculated using only resistors.
D. They are dimensionless.

26 The defining equations for Hybrid (h) parameters are:

A. and
B. and
C. and
D. and

27 Which h-parameter represents the short-circuit forward current gain?

A.
B.
C.
D.

28 The condition for Reciprocity in terms of Z-parameters is:

A.
B.
C.
D.

29 The condition for Symmetry in terms of Y-parameters is:

A.
B.
C.
D.

30 The condition for Reciprocity in terms of ABCD parameters is:

A.
B.
C.
D.

31 The condition for Symmetry in terms of ABCD parameters is:

A.
B.
C.
D.

32 The condition for Reciprocity in terms of h-parameters is:

A.
B.
C.
D.

33 If two two-port networks are connected in Series, the equivalent parameter matrix is the sum of their individual:

A. Y-matrices
B. Z-matrices
C. ABCD-matrices
D. h-matrices

34 If two two-port networks are connected in Parallel, the equivalent parameter matrix is the sum of their individual:

A. Y-matrices
B. Z-matrices
C. ABCD-matrices
D. h-matrices

35 If two two-port networks are connected in Cascade, the equivalent parameter matrix is the product of their individual:

A. Z-matrices
B. Y-matrices
C. ABCD-matrices
D. h-matrices

36 The relationship between Z and Y matrices is:

A.
B.
C.
D.

37 Given the Z-parameters, can be calculated as:

A.
B.
C.
D.

38 For a symmetrical T-network with series arms and shunt arm , is:

A.
B.
C.
D.

39 For a symmetrical -network with series arm and shunt arms , is:

A.
B.
C.
D.

40 Inverse hybrid parameters (g-parameters) relate:

A. to
B. to
C. to
D. to

41 What is the value of for a T-network with series impedances and shunt impedance ?

A.
B.
C.
D.

42 In an ideal transformer with turns ratio (primary : secondary), the transmission parameter is:

A.
B.
C. $0$
D. $1$

43 Which parameter does NOT exist for an ideal transformer?

A. ABCD parameters
B. Z parameters
C. h parameters
D. Inverse ABCD parameters

44 A Gyrator is a two-port network that:

A. Is reciprocal.
B. Converts impedance to admittance.
C. Has .
D. Is lossy.

45 The determinant of the h-parameter matrix for a reciprocal network is:

A.
B. 1
C. Not defined
D.

46 For a symmetrical network, the determinant of the h-parameter matrix is:

A.
B. 1
C. -1
D. Infinity

47 Which of the following functions represents a ramp starting at ?

A.
B.
C.
D.

48 In the s-domain, differentiation in the time domain corresponds to multiplication by:

A.
B.
C.
D. $1$

49 Network synthesis is the process of:

A. Calculating the response given the network.
B. Finding the network topology and element values given the network function.
C. Analyzing the stability of the network.
D. Measuring the voltage and current.

50 The poles of a driving point impedance function of an RC network lie on:

A. The imaginary axis.
B. The negative real axis.
C. The positive real axis.
D. Complex conjugate locations.

51 Interrelationship: in terms of ABCD parameters is given by:

A.
B.
C.
D.