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?

Correct answer: RL must be equal to Rth.

Explanation

The maximum power transfer theorem provides the condition for optimizing power delivery to a load. By matching the load resistance to the source's Thévenin resistance, the power absorbed by the load is maximized.

Other questions

Question 1

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

Question 2

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

Question 3

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

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?

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?

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?

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?

Question 8

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

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?

Question 10

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

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?

Question 12

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

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?

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?

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?

Question 17

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

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?

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?

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?

Question 21

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

Question 22

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

Question 23

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

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)?

Question 25

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

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?

Question 27

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

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?

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?

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?

Question 31

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

Question 32

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

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?

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?

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?

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?

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?

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?

Question 39

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

Question 40

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

Question 41

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

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?

Question 43

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

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?

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?

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?

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?

Question 48

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

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?

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.