Question 4 of 50

Nodal analysis is a method of circuit analysis based on which fundamental law?

For a circuit with N nodes, how many KCL equations are generally needed for nodal analysis?

In the circuit of Fig. 4.2b, the series combination of the 7 Ohm and 3 Ohm resistors is replaced with a single 10 Ohm resistor. What is the main benefit of this simplification?

How does the presence of a dependent current source, whose controlling variable is a branch current (like i1 in Fig. 4.6a), affect nodal analysis?

When is the supernode technique required in nodal analysis?

In the supernode example of Fig. 4.9a, a 22 V source is between nodes 2 and 3. What is the constraint equation relating the nodal voltages v2 and v3?

What is the primary condition that a circuit must satisfy to be suitable for mesh analysis?

In the two-mesh circuit of Fig. 4.15b, how is the current flowing downward through the central 3 Ohm resistor expressed in terms of the branch currents i1 and i2?

In the circuit of Fig. 4.19, what is the numerical value of the mesh current i1?

The supermesh technique is used in mesh analysis under what specific condition?

In the circuit of Fig. 4.24a, a supermesh is formed around meshes 1 and 3 due to the 7 A current source. What is the constraint equation relating mesh currents i1 and i3?

What is the defining characteristic of a planar circuit?

When choosing between nodal and mesh analysis for a planar circuit, which factor is a key consideration for selecting the more efficient method?

In the circuit of Fig. 4.26, a 15 A current source is on the perimeter of the circuit. How does this simplify the mesh analysis?

What is the primary reason for choosing a node with the greatest number of connected branches as the reference node in nodal analysis?

In the circuit of Fig. 4.6b, the dependent source is 3i1 and the controlling current i1 flows through the 2 Ohm resistor. What is the correct constraint equation relating i1 to the nodal voltages v1 and v2?

What is the difference between a loop and a mesh in a planar circuit?

In the circuit of Fig. 4.15b, the KVL equation for the right-hand mesh is given as -3(i1 - i2) + 4i2 - 10 = 0. What does the term -3(i1 - i2) represent?

According to the comparison in Section 4.5, if a planar circuit contains many current sources, especially on the periphery, which analysis method is likely to be simpler?

In the circuit of Fig. 4.21b, a dependent source 4i1 is present. Why does this NOT require an extra constraint equation in the mesh analysis?

For the circuit in Fig. 4.28, nodal analysis is performed with the bottom node as reference. Why is the node between the 100 V source and the 8 Ohm resistor not assigned a variable like v4?

In the circuit of Fig. 4.28, if node voltages are found to be v1 = 25.89 V and v2 = 20.31 V, what is the value of the current ix flowing through the 2 Ohm resistor?

What is the solved value for mesh current i2 in the circuit of Fig. 4.18?

Which statement correctly describes the recommended way to write KCL equations for nodal analysis to minimize errors, as mentioned in the text?

In the mesh analysis of the circuit in Fig. 4.30, what is the value of the mesh current i4?

In nodal analysis, if a voltage source is connected between node 'x' and the reference node, how is it handled?

In the circuit of Fig. 4.22b, the dependent voltage source is 2vx and the controlling voltage vx is across the 4 Ohm resistor. Which equation correctly expresses vx in terms of the mesh currents i1 and i2?

What is the solved value for the nodal voltage v1 in the circuit of Fig. 4.8 if the element A is a dependent current source of value 2i1?

If a circuit is determined to be non-planar, which analysis method MUST be used?

In the circuit of Fig. 4.4b, what is the KCL equation for the supernode formed by nodes 2, 3, and the 22 V source as shown in Fig. 4.9a?

What is the numerical value of mesh current i2 for the circuit in Fig. 4.24a?

In the circuit of Fig. 4.11, a five-node circuit with multiple source types is shown. Why does this circuit only require two KCL equations instead of the expected four for a five-node circuit?

For the circuit in Fig. 4.23, if the controlling quantity A is 2vx, what is the solved value for mesh current i1?

In the summary of the Basic Nodal Analysis Procedure, what is the recommended way to handle additional unknowns like currents or voltages that are not nodal voltages?

What is the solved value of nodal voltage v2 in the circuit of Fig. 4.1c after performing nodal analysis?

What is the KVL equation for mesh 2 in the three-mesh circuit of Fig. 4.19?

In the Supermesh Analysis Procedure summary, what is the first step?

In Example 4.4, the dependent current source is controlled by a nodal voltage, vx. Why does this simplify the analysis compared to Example 4.3 where the source was controlled by a current?

What is the final solved value for the power supplied by the dependent source in the circuit of Fig. 4.6a?

In the circuit of Fig. 4.10 from Practice Problem 4.4, what is the solved voltage across the 4 A current source?

What is the solved value for mesh current i1 in Practice Problem 4.7, for the circuit of Fig. 4.20?

According to Section 4.6, what is the underlying analysis method used by the circuit simulation program SPICE?

In the supermesh circuit of Fig. 4.25, what is the solved value for the current i1?

When using mesh analysis, why are clockwise mesh currents consistently chosen?

In the four-node circuit of Example 4.2 (Fig. 4.4b), what is the solved value for the nodal voltage v3?

What is the solved value for v3 in the circuit of Fig. 4.27, as determined in Practice Problem 4.10?

The fundamental principle of charge conservation at a junction is the basis for which circuit analysis law?

Kirchhoff's Voltage Law (KVL), which states that the algebraic sum of voltages around a closed path is zero, is the basis for which circuit analysis method?

In the circuit of Fig. 4.26, what is the solved value for mesh current i2?