Learning Objectives:

1. Utilize nodal analysis techniques to solve for currents in multi-source series-parallel RLC networks.

We can solve for voltage and current in a circuit using numerous KCL equations that we acquire from nodal analysis of the circuits. One fewer KCL equations are required than the total number of nodes in a circuit. A reference node may be used to describe the extra node. Typically, if a circuit has a ground, the reference node used is the node to which the ground is attached. With respect to the reference, this is utilized to determine the voltage differences at each additional node in the circuit.

Solved Example: 9157-01

In nodal analysis, the preferred reference node is a node that is connected to

1. Ground
2. Many parts of the network
3. The highest voltage source

A. 1 only

B. 2 only

C. 3 only

D. 1, 2 and 3

Correct Answer: B

Solved Example: 9157-02

If the network has a/an ________ between two nodes, the concept of Supernode is used instead of nodal analysis.

A. Voltage source

B. Dependent current source

C. Independent current source

D. Resistor

Correct Answer: A

Solved Example: 9157-03

Nodal method of circuit analysis is based on:
a) KVL and Ohm's law
b) KVL, KCL and Ohm's law
c) KCL and KVL
d) KCL and Ohm's law
Which of the following options is correct?

A. a) and b) are correct

B. c) and d) are correct

C. d) is wrong but a) is correct

D. d) is correct but b) is wrong

Correct Answer: D

Learning Objectives:

1. Utilize mesh analysis techniques to solve for currents in multi-source series-parallel RLC networks.

A specific use of KVL on a circuit is loop analysis. We utilize a particular form of loop called a "mesh," which is a loop devoid of any other loops. A mesh begins at a node, travels around a circuit, and then returns to the starting node without ever seeing any nodes more than once. Only planar circuits, or circuits without crossover connections, can we apply mesh analysis on. Mesh analysis cannot be used if a circuit cannot be redrew without the intersecting unconnected lines.

Solved Example: 9156-01

The mesh-current method
1. Works with both planar and non-planar circuits
2. Uses Kirchhoff's voltage law
Which of the above is/are correct?

A. 1 only

B. 2 only

C. Both 1 and 2

D. Neither 1 nor 2

Correct Answer: B

Solved Example: 9156-02

A network contains B branches and N nodes. The number of mesh current equations would be:

A. N - (B - 1)

B. B - N - 1

C. (B + N) + 1

D. B - (N - 1)

Correct Answer: D

Solved Example: 9156-03

Which of the following laws is applied for mesh analysis of the network?

A. Kirchhoff's voltage law

B. Kirchhoff's current law

C. Kirchhoff's first law

D. Kirchhoff's junction rule

Correct Answer: A

Solved Example: 9156-04

In an electric circuit, the number of independent meshes M is where B is number of branches and N is number of nodes:

A. 2B - N + 1

B. B - N + 1

C. 2B - N - 1

D. B - N -1

Correct Answer: B

Solved Example: 9156-05

A network N consists of resistors, independent voltage and current sources. The value of its determinant based on the loop analysis:

1. cannot be negative

2. cannot be zero

3. is independent of the values of voltage and current sources

4. dependent on the values of the resistances and the voltage and current sources

A. 1, 2 and 3

B. 1, 2 and 4

C. 1, 3 and 4

D. 2, 3 and 4

Correct Answer: A

Solved Example: 9156-06

A _________ is a part of a network that lies between two junctions.

A. Loop

B. Branch

C. Mesh

D. Node

Correct Answer: B