• identify series and parallel resistors in a circuit diagram.
• replace series or parallel resistors by an equivalent resistor.
• use voltage division to determine the resistor voltages of series resistors.
• use current division to determine the resistor currents of parallel resistors.
• design voltage and current divider circuits to satisfy typical specifications.
• determine the equivalent resistance of a resistor circuit
• use equivalent resistance to analyze a dc circuit.

• Secton 3.3 considers series resistors and derives formulas for voltage division and for equivalent resistance. These formulas are summarized in Table 3.10-1. They can be be thought of as shortcuts, alternatives to repeating the analysis from Section 3.3 every time series resistors are encountered.
• Secton 3.4 considers parallel resistors and derives formulas for current division and for equivalent resistance. These formulas are summarized in Table 3.10-1. Again, they can be be thought of as shortcuts.
• Section 3.5 considers series voltage sources and parallel current sources.
• Section 3.6 introduces the equivalent resisitance of a resistor circuit.
• Section 3.6 illustrates circuit analysis using equivalent circuits.
• Section 3.7 illustrates the use of MATLAB in an example that involes circuit analysis using equivalent circuits.
• Section 3.8 illustrates the use of Kirchhoff's law to check the results of circuit analysis using equivalent circuits.

Lecture Notes:

1. A summary of the voltage and current division equations that emphasizes reference directions.
2. An extended voltage division example.
3. The "equivalent resistance" of a resistor circuit. Some examples.
4. A strategy for using equivalent circuits to analyze dc circuits and some worked examples that illustrate that strategy to analyze dc circuits. Here are some simpler examples.
5. We can preform some limited signal processing using voltage and current divider circuits.

Handouts:

1. Voltage division exercises and solutions.
2. Voltage division reference directions exercises and solutions.
3. Equivalent circuits exercises. Solutions: Temperature Sensor and R2R ladder network.
4. Resistor tolerances.
5. How Can We Check...currents and voltages using voltage division, current division and equaivalent resistance?

Demonstrations:

• Designing voltage and current dividers to have a specified gain.
• Designing parallel and series circuits to have a specified equivalent resistance.

On-line Exercises: Voltage and Current Division Dependent Sources, Voltage and Current Division Equivalent Resistors Equivalent Circuits