Combination Circuits (Series-Parallel)

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Presentation transcript:

Combination Circuits (Series-Parallel) Chapter 8 Combination Circuits (Series-Parallel)

Objectives Determine the equivalent circuit resistance for a given combination circuit. Determine the voltage drops in a combination circuit. Determine the current values in a combination circuit. © Goodheart-Willcox Co., Inc. Permission granted to reproduce for educational use only.

Objectives Determine the wattage values in a combination circuit. Apply combination circuit theory to troubleshoot a combination circuit. © Goodheart-Willcox Co., Inc. Permission granted to reproduce for educational use only.

Reducing a Complex Circuit Find equivalent resistance of a circuit Used to solve series-parallel circuits and combination circuits Reduce to simple series or parallel circuits © Goodheart-Willcox Co., Inc. Permission granted to reproduce for educational use only.

Reducing: Example One © Goodheart-Willcox Co., Inc. Permission granted to reproduce for educational use only.

Reducing: Example One (Cont.) © Goodheart-Willcox Co., Inc. Permission granted to reproduce for educational use only.

Reducing: Example One (Cont.) © Goodheart-Willcox Co., Inc. Permission granted to reproduce for educational use only.

Reducing: Example Two © Goodheart-Willcox Co., Inc. Permission granted to reproduce for educational use only.

Reducing: Example Two (Cont.) © Goodheart-Willcox Co., Inc. Permission granted to reproduce for educational use only.

Reducing: Example Two (Cont.) © Goodheart-Willcox Co., Inc. Permission granted to reproduce for educational use only.

Reducing to a Simple Parallel Circuit Solve for total resistance © Goodheart-Willcox Co., Inc. Permission granted to reproduce for educational use only.

Review What is equivalent resistance of a circuit? Total resistance of a series-parallel circuit © Goodheart-Willcox Co., Inc. Permission granted to reproduce for educational use only.

Review What is a combination circuit? A series-parallel circuit, having a branch of a parallel circuit with resistors in series © Goodheart-Willcox Co., Inc. Permission granted to reproduce for educational use only.

Solving for Voltage and Current Values Once a circuit has been reduced, voltage and current values found with Ohm’s law Total values can be found first The circuit can be separated to find all other values © Goodheart-Willcox Co., Inc. Permission granted to reproduce for educational use only.

Solving: Example One © Goodheart-Willcox Co., Inc. Permission granted to reproduce for educational use only.

Solving: Example One (Cont.) © Goodheart-Willcox Co., Inc. Permission granted to reproduce for educational use only.

Solving: Example One (Cont.) © Goodheart-Willcox Co., Inc. Permission granted to reproduce for educational use only.

Solving: Example Two © Goodheart-Willcox Co., Inc. Permission granted to reproduce for educational use only.

Solving: Example Two (Cont.) © Goodheart-Willcox Co., Inc. Permission granted to reproduce for educational use only.

Solving: Example Two (Cont.) © Goodheart-Willcox Co., Inc. Permission granted to reproduce for educational use only.

Power in a Combination Circuit P = I2R or P = E × I Total power in a combination circuit is equal to the sum of the individual wattages, regardless of whether they are connected with each other in series or parallel © Goodheart-Willcox Co., Inc. Permission granted to reproduce for educational use only.

Review Why must a combination circuit be reduced before solving for individual current and voltage values? Total values should be found before proceeding to individual values © Goodheart-Willcox Co., Inc. Permission granted to reproduce for educational use only.

Review What is the relationship between total power and individual wattages in a combination circuit? Total power equals the sum of individual wattages © Goodheart-Willcox Co., Inc. Permission granted to reproduce for educational use only.

Troubleshooting a Combination Circuit Take voltage readings of individual components Look for an open or a short circuit condition Check against calculated expected values © Goodheart-Willcox Co., Inc. Permission granted to reproduce for educational use only.

Troubleshooting a Combination Circuit (Cont.) © Goodheart-Willcox Co., Inc. Permission granted to reproduce for educational use only.

Review How should an ohmmeter be connected when troubleshooting a series circuit? With one end of the resistor disconnected from the circuit © Goodheart-Willcox Co., Inc. Permission granted to reproduce for educational use only.

Review Why should you calculate expected values before using meters to troubleshoot a series-parallel circuit? Because with one parallel resistor open, there is still a path for the current, and the readings can be misleading © Goodheart-Willcox Co., Inc. Permission granted to reproduce for educational use only.

For Discussion Discuss Kirchhoff’s two laws for electrical circuits. Why does the resistance of a conductor decrease as its cross-sectional area increases? © Goodheart-Willcox Co., Inc. Permission granted to reproduce for educational use only.

Glossary Combination circuit Equivalent resistance A series-parallel circuit. Equivalent resistance Total resistance of a series, parallel, or combination circuit. © Goodheart-Willcox Co., Inc. Permission granted to reproduce for educational use only.

Glossary Series-parallel circuit Circuit in which parallel branches are in series with other resistors or parallel branches contain resistors in series. © Goodheart-Willcox Co., Inc. Permission granted to reproduce for educational use only.