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Laboratory 6: Problems: Circuit Analysis Methods

201016

Laboratory #6:

Problems: Circuit Analysis Methods

Objectives:

1. Review of mesh and nodal analysis.

2. Review of Thévenin’s Theorem.

3. Review of the principle of superposition.

Pre-Lab Preparation:

Study the following topics in your textbook, Principles and Applications of Electrical Engineer-

ing by Giorgio Rizzoni:

 Study nodal analysis with current sources and with voltage sources.

 Study mesh analysis.

 Study Thévenin’s equivalent circuit

 Study the principle of superposition.

Background:

Definitions

 A branch is any portion of a circuit with two terminals.

 A node is the junction of two or more branches in a circuit.

 A loop is any closed connection of branches.

 A mesh is a loop that does not contain other loops.

Nodal Analysis (from Rizzoni’s text):

1. Select the reference node (usually ground).

2. Define the remaining n-1 node voltages as the independent or dependent variables. Each

of the m voltage sources is associated with a dependent variable. If a node is not con-

nected to a voltage source, then its voltage is treated as an independent variable.

3. Apply KCL at each node labeled as an independent variable, expressing each current in

terms of the adjacent node voltages.

4. Solve the linear system of n-1-m unknowns.

Mesh Current Analysis (from Rizzoni’s text):

1. Define each mesh current consistently. Unknown mesh currents will be always defined in

the clockwise direction; known mesh currents (i.e., current sources) will always be de-

fined in the direction of the current source.

2. In a circuit with n meshes and m current sources, n-m independent equations will result.

The unknown mesh currents are the n-m independent variables.

3. Apply KVL to each mesh containing an unknown mesh current, expressing each voltage

in terms of one or more mesh currents.

4. Solve the linear system of n-m unknowns.

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BK Precision 4011A Instrucciones de operaciones Pagina 28