Resistive Circuits

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

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

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?

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?

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

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?

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

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?

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

When is a supermesh used in mesh-current analysis?

What does a Thévenin equivalent circuit consist of?

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

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

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

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?

How do conductances in series combine?

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?

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?

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

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?

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?

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

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

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

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

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?

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?

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?

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?

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

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

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

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

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?

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

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?

Why does mesh-current analysis automatically satisfy KCL?

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?

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?

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?

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)?

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

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)?

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)?

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

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

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?

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

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

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