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Unit 2 - Practice Quiz

ELE205

1 Thevenin's theorem states that any linear active two-terminal network can be replaced by a single voltage source in series with a resistor . How is calculated?

A. The short-circuit current between the terminals
B. The open-circuit voltage across the terminals
C. The voltage across the source resistance
D. The voltage when the load is connected

2 When calculating the Thevenin equivalent resistance () of a network containing independent sources, how are the sources treated?

A. Voltage sources are open-circuited; current sources are short-circuited
B. Voltage sources are short-circuited; current sources are open-circuited
C. Both voltage and current sources are open-circuited
D. Both voltage and current sources are short-circuited

3 Norton's theorem replaces a linear two-terminal circuit with:

A. A voltage source in series with a resistor
B. A current source in series with a resistor
C. A current source in parallel with a resistor
D. A voltage source in parallel with a resistor

4 What is the relationship between Thevenin's resistance () and Norton's resistance () for the same network looking into the same terminals?

A.
B.
C.
D.

5 The Superposition Theorem is applicable only to networks that are:

A. Non-linear
B. Linear
C. Time-variant only
D. Passive only

6 Which of the following quantities cannot be calculated directly using the Superposition Theorem?

A. Voltage
B. Current
C. Power
D. Impedance drops

7 In the Maximum Power Transfer Theorem for a DC circuit, maximum power is transferred to the load resistance when:

A.
B.
C.
D.

8 What is the percentage efficiency of a circuit at the condition of Maximum Power Transfer?

A. 100%
B. 75%
C. 50%
D. 25%

9 Millman's Theorem yields an equivalent:

A. Voltage source in series with an impedance
B. Current source in series with an impedance
C. Voltage source in parallel with an impedance
D. Zero impedance source

10 The Reciprocity Theorem applies to networks that are:

A. Linear, Bilateral, and Passive
B. Linear and Active
C. Non-linear and Bilateral
D. Time-varying

11 Tellegen's Theorem is based on the principle of:

A. Conservation of Charge
B. Conservation of Energy
C. Superposition
D. Maximum Power

12 Does Tellegen's Theorem depend on the type of elements (linear/non-linear, active/passive) in the network?

A. Yes, it requires linear elements
B. Yes, it requires passive elements
C. No, it depends only on the topology (Kirchhoff's Laws)
D. Yes, it requires time-invariant elements

13 In a linear network, if a voltage source at branch produces a current at branch , then moving the voltage source to branch will produce current at branch . This describes:

A. Thevenin's Theorem
B. Reciprocity Theorem
C. Millman's Theorem
D. Superposition Theorem

14 Calculate the Norton Current if the Thevenin Voltage is and the Thevenin Resistance is .

A.
B.
C.
D.

15 When applying the Superposition Theorem to a circuit with dependent sources:

A. Dependent sources are turned off like independent sources
B. Dependent sources remain active and are never deactivated
C. Dependent voltage sources are shorted, dependent current sources are opened
D. It cannot be applied to circuits with dependent sources

16 For an AC circuit, the Maximum Power Transfer Theorem states that for maximum power, the load impedance should be:

A. Equal to the source impedance
B. The complex conjugate of the source impedance
C. Equal to the magnitude of the source impedance
D. The inverse of the source impedance

17 If a Thevenin equivalent circuit has and , what is the maximum power that can be delivered to a load?

A.
B.
C.
D.

18 Millman's Theorem is effectively a specific application of which two theorems combined?

A. Thevenin's and Norton's
B. Superposition and Reciprocity
C. Tellegen's and Maximum Power
D. Source Transformation (Norton to Thevenin)

19 Which theorem is most useful for analyzing a network with multiple sources without solving simultaneous equations for the entire circuit?

A. Reciprocity Theorem
B. Maximum Power Transfer Theorem
C. Superposition Theorem
D. Tellegen's Theorem

20 In the context of the Reciprocity Theorem, the ratio is often called:

A. Transfer Impedance
B. Transfer Admittance
C. Driving Point Impedance
D. Thevenin Resistance

21 What is the equivalent resistance across terminals A-B if the circuit consists of a resistor in parallel with a resistor?

A.
B.
C.
D.

22 Thevenin's Theorem reduces a complex network to:

A. A one-port network
B. A two-port network
C. A three-terminal network
D. A balanced bridge

23 If the source impedance is pure resistance and the load is a pure reactance , can Maximum Power Transfer occur?

A. Yes, if
B. Yes, if
C. No, power cannot be dissipated in a pure reactance
D. Yes, if

24 Using Millman's Theorem, if three voltage sources with internal conductances are in parallel, the equivalent voltage is:

A.
B.
C.
D.

25 In Tellegen's Theorem, the equation implies that:

A. Power delivered by sources equals power absorbed by passive elements
B. Currents sum to zero at a node
C. Voltages sum to zero in a loop
D. Resistance is constant

26 Which theorem allows for the calculation of the current in a specific branch by replacing the rest of the network with an equivalent current source?

A. Thevenin's Theorem
B. Norton's Theorem
C. Superposition Theorem
D. Maximum Power Transfer Theorem

27 To determine experimentally in a lab, one would:

A. Connect a short wire across the terminals and measure current
B. Connect a voltmeter across the open terminals
C. Connect a variable resistor and maximize power
D. Turn off all sources and measure resistance

28 If a network has 3 independent voltage sources and 2 independent current sources, how many sub-circuits must be analyzed to use the Superposition Theorem?

A. 1
B. 2
C. 5
D. 6

29 A network contains non-linear resistors (diodes). Can Thevenin's Theorem be applied to find the equivalent circuit looking into the terminals of the linear portion?

A. Yes, but only for the linear part of the network
B. No, Thevenin's theorem strictly requires the entire network to be linear
C. Yes, it applies to any network
D. No, unless the diode is forward biased

30 If and the load is variable, at what load resistance is the power efficiency roughly 99% (approaching 100%)?

A.
B.
C. Very large ()
D. Very small ()

31 In a reciprocal network, the Transfer Admittance is equal to:

A.
B.
C.
D. Zero

32 When applying Tellegen's Theorem to two different networks (Network A and Network B), they must share:

A. The same component values
B. The same topological graph (structure)
C. The same sources
D. The same power consumption

33 A current source with parallel resistance can be converted into a voltage source with series resistance where equals:

A.
B.
C.
D.

34 If the load impedance is fixed and the source impedance is variable, maximum power is transferred when:

A.
B.
C.
D.

35 Which of the following is NOT a requirement for the Reciprocity Theorem?

A. Single source of excitation
B. Linearity
C. Initial conditions must be zero
D. Network must be non-linear

36 The voltage in Millman's theorem is calculated across:

A. The shorted terminals
B. The open terminals of the parallel network
C. Any single resistor in the network
D. The current sources only

37 In a DC circuit, if and , and the load is a battery (opposing polarity) with internal resistance . What is the current?

A.
B.
C.
D. (Reversed)

38 Why is the Maximum Power Transfer Theorem rarely used in power transmission systems (like the electrical grid)?

A. It is difficult to calculate
B. It results in 50% efficiency, which is too wasteful
C. Voltage levels are too high
D. Grids are non-linear

39 The 'Dual' of Thevenin's Theorem is:

A. Superposition Theorem
B. Norton's Theorem
C. Millman's Theorem
D. Reciprocity Theorem

40 Under what condition does Superposition NOT hold for voltage/current?

A. When resistors are temperature dependent (non-linear)
B. When sources have different frequencies
C. When the circuit contains capacitors
D. When the circuit contains inductors

41 When calculating Norton's Resistance , the terminals A and B are:

A. Shorted
B. Left Open
C. Connected to a test source
D. Connected to the ground

42 Which theorem states that the algebraic sum of the products of branch voltages and branch currents is zero?

A. Tellegen's Theorem
B. Millman's Theorem
C. Superposition Theorem
D. Reciprocity Theorem

43 If you measure the open circuit voltage as and the short circuit current as for a linear network, what is the internal resistance?

A.
B.
C.
D.

44 When applying the Superposition theorem, if there are two sources and , and the response due to is and due to is . The total response is:

A.
B.
C.
D.

45 In the Maximum Power Transfer theorem for AC, if the load is purely resistive () and the source is complex (), maximum power is transferred when:

A.
B.
C.
D.

46 Which theorem is best suited for finding the voltage across two nodes joined by multiple parallel branches containing voltage sources?

A. Thevenin's Theorem
B. Maximum Power Theorem
C. Millman's Theorem
D. Reciprocity Theorem

47 A network is reciprocal if the _____ matrix is symmetric.

A. Hybrid (h)
B. Impedance (Z)
C. Transmission (ABCD)
D. None of these

48 If a current source is in parallel with resistance , to convert it to a Thevenin equivalent, the voltage source will have polarity:

A. Positive at the terminal where current enters
B. Positive at the terminal where current leaves
C. Random polarity
D. Dependent on ground

49 Tellegen's theorem is valid for:

A. Only passive networks
B. Only linear networks
C. Any lumped network satisfying KCL and KVL
D. Only DC networks

50 Consider a circuit where and . A load is connected. If changes from to , what happens to the power transferred?

A. It increases
B. It decreases
C. It remains the same
D. It becomes zero