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Handy Circuit Analysis Techniques

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Questions

Question 1

What is the fundamental principle of superposition as it applies to linear circuits with multiple independent sources?

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Question 2

When applying the superposition principle, how should an independent voltage source be treated when it is 'turned off' or 'zeroed out'?

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Question 3

Why is the superposition principle not applicable for calculating power in a circuit?

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Question 4

In the circuit of Fig. 5.3a, which consists of a 3 V source, a 2 A source, a 6 ohm resistor, and a 9 ohm resistor, what is the value of the current component i'_x through the 9 ohm resistor due to the 3 V source acting alone?

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Question 5

A practical voltage source is modeled as an ideal voltage source vs in series with an internal resistance Rs. How are these two components related to the open-circuit voltage (V_oc) and short-circuit current (I_sc) of the practical source?

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Question 6

What is the condition for a practical voltage source (vs in series with Rs) and a practical current source (is in parallel with Rp) to be electrically equivalent at their terminals?

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Question 7

For the circuit in Fig. 5.17a, a 9 mA current source is in parallel with a 5 kOhm resistor. What is the equivalent practical voltage source that can replace this combination?

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Question 8

What does Thévenin's theorem allow us to do with a complex linear circuit connected to a load?

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Question 9

What is the Thévenin equivalent resistance (Rth) of the network A in Fig. 5.25a, which consists of a 12V source, a 3 ohm, a 6 ohm, and a 7 ohm resistor?

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Question 10

How is Norton's theorem related to Thévenin's theorem?

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Question 11

What is the relationship between the Thévenin voltage (Voc), the Norton current (Isc), and the Thévenin resistance (Rth) for a given linear network?

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Question 12

In the circuit of Fig. 5.29a, what is the Thévenin equivalent voltage (Voc) faced by the 1 kOhm resistor?

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Question 13

When finding the Thévenin or Norton equivalent of a network that contains dependent sources but no independent sources, what is a valid method to find Rth?

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Question 14

According to the maximum power transfer theorem, what is the condition for a load resistance RL to absorb the maximum possible power from a source network with a Thévenin equivalent resistance Rth?

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Question 15

If a source network has a Thévenin equivalent of Vth = 10 V and Rth = 50 ohms, what is the maximum power that can be delivered to a load resistor?

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Question 16

In the common-emitter amplifier model shown in Fig. 5.41, what value should the load resistance RL be set to for maximum power transfer, given the Thévenin resistance Rth of the amplifier is 1 kOhm?

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Question 17

Which of the following describes a Delta (or Pi) network configuration?

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Question 18

To convert a Wye network with resistors R1, R2, R3 to an equivalent Delta network with resistors RA, RB, RC (as labeled in Fig. 5.45), what is the formula for resistor RA?

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Question 19

To convert a Delta network with resistors RA, RB, RC to an equivalent Wye network with resistors R1, R2, R3 (as labeled in Fig. 5.45), what is the formula for resistor R3?

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Question 20

In the resistive network of Fig. 5.46a, the upper Delta network consists of a 1 ohm, 4 ohm, and 3 ohm resistor. When converted to a Wye network, what are the values of the three new resistors?

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Question 21

What defines a 'linear element' in the context of circuit analysis?

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Question 22

In the circuit of Fig. 5.1, what are the two nodal equations for nodes v1 and v2?

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Question 23

What is the key difference between a practical voltage source model and an ideal voltage source model?

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Question 24

A practical current source is modeled as an ideal current source in parallel with an internal resistance Rp. What is its open-circuit voltage (v_Loc)?

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Question 25

What is the primary motivation for using repeated source transformations in circuit analysis?

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Question 26

In the circuit of Fig. 5.17b, which is the result of a source transformation on Fig. 5.17a, what is the current I flowing through the 4.7 kOhm resistor?

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Question 27

What is the Thévenin equivalent voltage (Vth) for the network in Fig. 5.25a as seen by the load resistor RL?

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Question 28

What is a key restriction on networks A and B when applying Thévenin's or Norton's theorem, if either network contains a dependent source?

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Question 29

For the circuit in Fig. 5.32, which includes a 100 V source, a 0.01V1 dependent source, and a 20 kOhm resistor, what is the Thévenin equivalent resistance?

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Question 30

In the network of Fig. 5.33a, which contains only a 1.5i dependent source and two resistors (3 ohm and 2 ohm), what is the Thévenin equivalent voltage Voc?

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Question 31

Why might a real voltmeter, like a DMM, introduce a small error when measuring voltage in a circuit?

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Question 32

What is the primary distinction between drawing maximum power *from* a source and delivering maximum power *to* a load?

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Question 33

In the circuit of Fig. 5.5a, a 6V source is connected to a 100 ohm and a 64 ohm resistor in series. Both resistors are rated for a maximum of 250 mW. What is the maximum positive current Ix that can be set for the parallel current source before a resistor overheats?

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Question 34

Using superposition on the circuit in Fig. 5.6a, what is the value of the current component i''_x due to the 3 A source acting alone?

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Question 35

What is the primary risk of attempting a source transformation on a resistor that is used as a controlling variable for a dependent source?

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Question 36

In Example 5.5, what is the final simplified circuit after repeated source transformations are applied to the circuit in Fig. 5.19a?

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Question 37

What is the calculated Norton equivalent for the highlighted network in Fig. 5.26, which contains a 5A source and 8, 2, and 10 ohm resistors?

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Question 38

Using Thévenin's theorem for the circuit in Fig. 5.28, what is the current I2 through the 2 ohm resistor designated as network B?

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Question 39

For the circuit in Fig. 5.31a with a dependent source, what is the value of the short-circuit current Isc?

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Question 40

In Example 5.12, what is the final Thévenin equivalent resistance of the network in Fig 5.46a?

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Question 41

What happens to a dependent source within a network when applying the superposition principle?

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Question 42

For the circuit in Fig 5.18, a 5 V source is in series with a 5 kOhm resistor, which is connected to a 47 kOhm resistor and a 1 mA current source. After performing a source transformation on the voltage source, what is the current Ix through the 47 kOhm resistor?

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Question 43

When is it preferable to use nodal analysis over mesh analysis for a planar circuit?

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Question 44

What is the Thévenin equivalent resistance of the network in Fig. 5.39, which has a 20i1 dependent source and 10 and 5 ohm resistors?

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Question 45

A source with a Thévenin resistance of 75 ohms is connected to a variable load resistor RL. What value of RL will result in maximum power being delivered to the load?

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Question 46

If a network has a Thévenin equivalent voltage of 24 V and a Thévenin resistance of 12 ohms, what is its Norton equivalent?

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Question 47

In the Y-to-Delta conversion formulas, the numerator for each of the new Delta resistors (RA, RB, RC) is the same. What is this common numerator term?

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Question 48

What is the equivalent resistance of the network in Fig. 5.47, where all resistors are 10 ohms?

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Question 49

When transforming a practical voltage source to a practical current source, what is the convention for the direction of the current source arrow relative to the polarity of the voltage source?

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Question 50

For the circuit in Fig. 5.4, use superposition to find the total current ix, which flows through the 3 ohm resistor. The circuit has a 2A source, a 3.5V source, and resistors of 7, 15, 5, and 3 ohms.

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