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20.3 Complex Resistor Combinations

20.3 Complex Resistor Combinations. Date, Section, Pages, etc. Mr. Richter. Agenda. Warm-Up Review HW p. 744 #1-4 p. 745 #1-6 Complex Resistor Combinations Complex Circuit Problem Solving Equivalent Resistance Current and Voltage Drops. Objectives: We Will Be Able To….

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20.3 Complex Resistor Combinations

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  1. 20.3 Complex Resistor Combinations Date, Section, Pages, etc. Mr. Richter

  2. Agenda • Warm-Up • Review HW • p. 744 #1-4 • p. 745 #1-6 • Complex Resistor Combinations • Complex Circuit Problem Solving • Equivalent Resistance • Current and Voltage Drops

  3. Objectives: We Will Be Able To… • Determine the equivalent resistance of a complex resistor combination. • Determine the current through and voltage drop across a resistor within a complex resistor combination.

  4. Warm-up • Calculate the equivalent resistance of an 8.0 Ω resistor and a 4.0 Ω resistor arranged in parallel.

  5. Complex Resistor Combinations

  6. Complex Resistor Combinations • Most circuits are not purely series circuits or purely parallel circuits. • Most circuits are a combination of series and parallel circuits.

  7. Equivalent Resistance

  8. Equivalent Resistance • To determine the equivalent resistance in a complex circuits: • Redraw the circuit in a line. • Combine all resistors in series and redraw • Combine all resistors in parallel and redraw • Repeat

  9. Equivalent Resistance: Redraw the Circuit in a Line =

  10. Equivalent Resistance: Resistors in Series 6.0 Ω 2.0 Ω 1.0 Ω 3.0 Ω 6.0 Ω 4.0 Ω

  11. Equivalent Resistance: Resistors in Series 8.0 Ω 6.0 Ω 2.0 Ω 1.0 Ω 3.0 Ω 6.0 Ω 9.0 Ω 4.0 Ω

  12. Equivalent Resistance: Resistors in Parallel 8.0 Ω 1.0 Ω 9.0 Ω 4.0 Ω

  13. Equivalent Resistance: Resistors in Parallel 8.0 Ω 1.0 Ω 9.0 Ω 2.7 Ω 4.0 Ω

  14. Equivalent Resistance: Repeat (Resistors in Series) 1.0 Ω 2.7 Ω 9.0 Ω 12.7 Ω

  15. Current and Voltage Drops

  16. Current and Voltage Drops • To find the current through and voltage drop across a specific resistor, work your way back from the equivalent resistors! • Calculate the current. • Then the voltage drops. • Redraw and repeat. 6.0 Ω 2.0 Ω 1.0 Ω 3.0 Ω 6.0 Ω 4.0 Ω 12.7 Ω =

  17. Current and Voltage Drops I = 0.71 A 1.0 Ω 9.0 Ω 2.7 Ω 12.7 Ω

  18. Current and Voltage Drops I = 0.71 A 1.0 Ω 2.7 Ω 9.0 Ω V = 1.9V

  19. Current and Voltage Drops V = 1.9V 8.0 Ω 1.0 Ω 9.0 Ω 2.7 Ω 4.0 Ω

  20. Current and Voltage Drops V = 1.9V I = 0.24 A 8.0 Ω 6.0 Ω 2.0 Ω 1.0 Ω 9.0 Ω 4.0 Ω

  21. Current and Voltage Drops I = 0.24 A V = (0.24 A)(2.0Ω) V = 0. 48 V 6.0 Ω 2.0 Ω 1.0 Ω 9.0 Ω 4.0 Ω

  22. Wrap-Up: Did we meet our objectives? • Determine the equivalent resistance of a complex resistor combination. • Determine the current through and voltage drop across a resistor within a complex resistor combination.

  23. Homework • Due Thursday: • p. 752 #1-9

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