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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. Objectives.
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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. 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. 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 Permission granted to reproduce for educational use only.
Reducing: Example One Permission granted to reproduce for educational use only.
Reducing: Example One (Cont.) Permission granted to reproduce for educational use only.
Reducing: Example One (Cont.) Permission granted to reproduce for educational use only.
Reducing: Example Two Permission granted to reproduce for educational use only.
Reducing: Example Two (Cont.) Permission granted to reproduce for educational use only.
Reducing: Example Two (Cont.) Permission granted to reproduce for educational use only.
Reducing to a Simple Parallel Circuit • Solve for total resistance Permission granted to reproduce for educational use only.
Review What is equivalent resistance of a circuit? Total resistance of a series-parallel circuit 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 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 Permission granted to reproduce for educational use only.
Solving: Example One Permission granted to reproduce for educational use only.
Solving: Example One (Cont.) Permission granted to reproduce for educational use only.
Solving: Example One (Cont.) Permission granted to reproduce for educational use only.
Solving: Example Two Permission granted to reproduce for educational use only.
Solving: Example Two (Cont.) Permission granted to reproduce for educational use only.
Solving: Example Two (Cont.) 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 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 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 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 Permission granted to reproduce for educational use only.
Troubleshooting a Combination Circuit (Cont.) 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 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 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? Permission granted to reproduce for educational use only.