20.3 Complex Resistor Combinations Date, Section, Pages, etc. Mr. Richter.
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Transcript of 20.3 Complex Resistor Combinations Date, Section, Pages, etc. Mr. Richter.
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…
Determine the equivalent resistance of a complex resistor combination.
Determine the current through and voltage drop across a resistor within a complex resistor combination.
Warm-up
Calculate the equivalent resistance of an 8.0 Ω resistor and a 4.0 Ω resistor arranged in parallel.
Complex Resistor Combinations
Complex Resistor Combinations
Most circuits are not purely series circuits or purely parallel circuits.
Most circuits are a combination of series and parallel circuits.
Equivalent Resistance
Equivalent Resistance
To determine the equivalent resistance in a complex circuits:
1. Redraw the circuit in a line.
2. Combine all resistors in series and redraw
3. Combine all resistors in parallel and redraw
4. Repeat
Equivalent Resistance: Redraw the Circuit in a Line
=
Equivalent Resistance: Resistors in Series
3.0 Ω 6.0 Ω
6.0 Ω 2.0 Ω
4.0 Ω
1.0 Ω
Equivalent Resistance: Resistors in Series
3.0 Ω 6.0 Ω6.0 Ω 2.0 Ω
4.0 Ω
1.0 Ω
8.0 Ω
9.0 Ω
Equivalent Resistance: Resistors in Parallel
4.0 Ω
1.0 Ω
8.0 Ω
9.0 Ω
Equivalent Resistance: Resistors in Parallel
1.0 Ω
4.0 Ω
8.0 Ω
9.0 Ω 2.7 Ω
Equivalent Resistance: Repeat (Resistors in Series)
1.0 Ω
9.0 Ω 2.7 Ω12.7 Ω
Current and Voltage Drops
Current and Voltage Drops
To find the current through and voltage drop across a specific resistor, work your way back from the equivalent resistors!
1. Calculate the current.
2. Then the voltage drops.
3. Redraw and repeat.
12.7 Ω =3.0 Ω 6.0 Ω
6.0 Ω 2.0 Ω
4.0 Ω
1.0 Ω
Current and Voltage Drops
12.7 Ω
I = 0.71 A1.0 Ω
9.0 Ω 2.7 Ω
Current and Voltage Drops
I = 0.71 A1.0 Ω
9.0 Ω 2.7 Ω
V = 1.9V
Current and Voltage Drops
1.0 Ω
4.0 Ω
8.0 Ω
9.0 Ω 2.7 Ω
V = 1.9V
Current and Voltage Drops
1.0 Ω
4.0 Ω
8.0 Ω
9.0 Ω
V = 1.9V I = 0.24 A
6.0 Ω 2.0 Ω
Current and Voltage Drops
1.0 Ω
4.0 Ω9.0 Ω
I = 0.24 A
6.0 Ω 2.0 Ω
V = (0.24 A)(2.0Ω)V = 0. 48 V
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.
Homework
Due Thursday:
p. 752 #1-9