What is the condition for maximum power transfer to a load resistance RL from a two-terminal circuit with Thévenin resistance Rt?

Correct answer: RL = Rt

Explanation

The maximum power transfer theorem states that, for a DC voltage source with an internal resistance, the maximum power is delivered to an external load resistance when the load resistance is equal to the source's internal (Thévenin) resistance.

Other questions

Question 1

What is the correct formula for the equivalent resistance (Req) of three resistances (R1, R2, R3) combined in series?

Question 2

How is the equivalent resistance (Req) for two parallel resistances, R1 and R2, calculated using the 'product over the sum' formula?

Question 3

In a network with R1 = 10 ohm, R2 = 20 ohm, and a series combination of R3 = 5 ohm and R4 = 15 ohm that is in parallel with R2, what is the total equivalent resistance of the entire network as described in Example 2.1?

Question 4

According to the voltage-division principle for a series circuit of resistors, what determines the fraction of the total voltage that appears across a given resistance?

Question 5

What is the current-division principle for two resistances, R1 and R2, in parallel?

Question 6

In node-voltage analysis, how is the current flowing out of node n toward node k through a resistance R calculated, given node voltages vn and vk?

Question 7

What is a supernode in the context of node-voltage analysis?

Question 8

In the shortcut method for writing node-voltage equations in matrix form for a circuit with only resistances and independent current sources, what do the diagonal terms of the G matrix (e.g., g11, g22) represent?

Question 9

How are mesh currents defined in planar circuits for mesh-current analysis?

Question 10

When is a supermesh used in mesh-current analysis?

Question 11

What does a Thévenin equivalent circuit consist of?

Question 12

How is the Thévenin voltage (Vt) of a two-terminal network determined?

Question 14

What does the superposition principle state about the total response in a linear circuit with multiple independent sources?

Question 15

What is the balance condition for a Wheatstone bridge with resistors R1, R2, R3, and an unknown resistance Rx, as arranged in Figure 2.66?

Question 16

How do conductances in series combine?

Question 17

In the circuit of Example 2.2, a 90 V source is connected to a 10 ohm resistor (R1) in series with the parallel combination of a 30 ohm resistor (R2) and a 60 ohm resistor (R3). What is the power supplied by the 90 V source?

Question 18

In a voltage divider circuit consisting of four series resistors (R1=1000 ohm, R2=1000 ohm, R3=2000 ohm, R4=6000 ohm) and a 15 V source, what is the voltage v4 across resistor R4?

Question 19

What is the primary advantage of selecting one end of an independent voltage source as the reference node in node-voltage analysis?

Question 20

For a circuit that contains only resistances and independent current sources, what do the off-diagonal terms of the conductance matrix G (e.g., g12, g21) represent in the shortcut method?

Question 21

In a circuit with two mesh currents, i1 and i2, flowing clockwise in adjacent meshes, what is the current in the resistor R3 that is common to both meshes, assuming the reference direction is downward and i1 is in the left mesh?

Question 22

Why can one not find the Thévenin resistance of a circuit containing a dependent source by zeroing the sources and combining resistances?

Question 23

What is the relationship between a Thévenin equivalent circuit and a Norton equivalent circuit?

Question 24

When applying the superposition principle, how are independent voltage sources and independent current sources 'zeroed'?

Question 25

Superposition does not apply to the calculation of power in a resistive circuit. Why?

Question 26

In a commercial Wheatstone bridge described in Example 2.25, R1 is fixed at 1 kOhm, R2 is selected as 10 kOhm, and the bridge is balanced with R3 = 732 Ohm. What is the value of the unknown resistance Rx?

Question 27

What is the primary reason for using a Wheatstone bridge with four matched strain gauges, two in tension and two in compression, for strain measurement?

Question 28

In the circuit of Example 2.4, a 100 V source is in series with a 60 ohm resistor (R1) and the parallel combination of a 30 ohm resistor (R2) and a 60 ohm resistor (R3). What is the value of the current i3 through the 60 ohm resistor R3?

Question 29

A load resistance (RL) is connected to a circuit with a Thévenin voltage of 10 V and a Thévenin resistance of 4 ohm. What is the maximum power that can be delivered to the load?

Question 30

What is the defining characteristic of a 'planar network' in the context of circuit analysis?

Question 31

In the circuit analysis steps using series/parallel equivalents, what is the recommended starting point?

Question 32

When loads like toasters and light bulbs are powered from a single voltage source, how are they typically connected and why?

Question 33

If two conductances, G1 and G2, are connected in series, what is their equivalent conductance, Geq?

Question 34

A circuit contains a 15 A current source. In parallel with it are three resistors: R1=10 ohm, R2=30 ohm, and R3=60 ohm. What is the current i1 flowing through the 10 ohm resistor?

Question 35

What is the key problem to be solved in node-voltage analysis after the reference node is chosen and variables are assigned?

Question 36

In Example 2.14, a circuit has three clockwise mesh currents i1, i2, and i3. The 10-ohm resistor is shared between mesh 1 and mesh 2. If the solved mesh currents are i1=4A, i2=1A, and i3=2A, what is the current flowing downward through the 10-ohm resistor?

Question 37

Why does mesh-current analysis automatically satisfy KCL?

Question 38

In the circuit of Example 2.18, a 15 V source is in series with a 100 ohm resistor (R1) and a 50 ohm resistor (R2). What is the open-circuit voltage (voc) measured across R2?

Question 39

For the same circuit in Example 2.18 (15V source, R1=100 ohm, R2=50 ohm), what is the short-circuit current (isc) across the terminals where R2 is connected?

Question 40

How is the Thévenin resistance (Rt) for the circuit in Example 2.18 (Vs=15V, R1=100 ohm, R2=50 ohm) calculated from its open-circuit voltage and short-circuit current?

Question 41

An alternative method to find the Thévenin resistance for a network with no dependent sources is to zero the independent sources. How would you apply this to the circuit in Example 2.18 (Vs=15V, R1=100 ohm, R2=50 ohm)?

Question 42

What is the consequence of applying the superposition principle to a circuit containing a nonlinear element, such as one where v = 10*i^2?

Question 43

When transforming a voltage source (Vt) in series with a resistor (Rt) to a Norton equivalent, what is the correct orientation for the Norton current source (In)?

Question 44

In the circuit for Exercise 2.2, a 20 V source (vs) is connected to a network. The currents are found to be i1=1.04A, i2=0.480A, i3=0.320A, and i4=0.240A. Based on KCL, what is the relationship between i1, i2, i3, and i4 in that specific circuit diagram (Fig 2.7a)?

Question 45

At maximum power transfer, what percentage of the power taken from the Thévenin voltage source (Vt) is delivered to the load (RL)?

Question 46

What does a zero value for an off-diagonal term like g_jk in the node-voltage G matrix imply?

Question 47

If a circuit is solved using superposition to find a current 'i', and the contribution from source 1 is i1 = 1 A and the contribution from source 2 is i2 = -0.667 A, what is the total current iT?

Question 48

In a series RLC circuit with a DC source, what do the inductor and capacitor behave as in steady-state?

Question 49

What is the defining difference between the particular solution (forced response) and the complementary solution (natural response) of a differential equation for a circuit?

Question 50

In a second-order RLC circuit, what determines whether the natural response is overdamped, critically damped, or underdamped?