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Circuit Notes:

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Series Circuits 1. Fill all of the R values into the chart. R1 = 10 ohms S V I R R1 10 R2 20 R3 30 T Vt = 30V R2 = 20 ohms R3 = 30 ohms

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**Series Circuits S V I R 10 20 30 T .5 60 Calculate Rt Plug in Vt**

4. Calculate It R1 = 10 ohms S V I R R1 10 R2 20 R3 30 T .5 60 Vt = 30V R2 = 20 ohms R3 = 30 ohms

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Series Circuits In series circuits, I’s are all equal. Plug in I’s Calculate Voltage Drops Check to make sure they add up to Vt! R1 = 10 ohms Vt = 30V R2 = 20 ohms S V I R R1 5 .5 10 R2 20 R3 15 30 T 60 R3 = 30 ohms

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**Parallel Circuits P V I R 20 30 60 T 10 Fill in R’s**

Vt = 30V R1 = 10 ohms R2 = 30 ohms R3 = 60 ohms Fill in R’s 2. Calculate Rt remember to calculate the reciprocals!

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**Parallel Circuits 1/Rt = 1/R1 + 1/R2 + 1/R3 1/Rt = 1/20 + 1/30 + 1/60**

Rt = 60/6 = 10 ohms!

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**Parallel Circuits P V I R 20 30 60 T 3 10 Plug in Vt**

Vt = 30V R1 = 20 ohms R2 = 30 ohms R3 = 60 ohms Plug in Vt 4. Calculate It (ohm’s Law!)

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**Parallel Circuits P V I R 30 1.5 20 1 .5 60 T 3 10**

Vt = 30V R1 = 20 ohms R2 = 30 ohms R3 = 60 ohms In a parallel circuit, all V’s are equal! Fill in V’s. Calculate I’s Check to make sure they add up to It!

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**Combination Circuits P V I R 20 10**

Find the resistor farthest from the power source. Determine if it is Parallel or series. If it is parallel: Set up a parallel box. Calculate Rp (remember reciprocals!) R1 = 10 ohms Vt = 120V R2 = 20 ohms R3 = 20 ohms P V I R R3 20 R2 Rp 10 R4 = 40 ohms

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**Combination Circuits S V I R 10 40 T 60 P V I R 20 10**

Find series resistiors. Set up Series box. 5. Calculate Rt. R1 = 10 ohms S V I R R1 10 Rp R4 40 T 60 Vt = 120V R2 = 20 ohms R3 = 20 ohms R4 = 40 ohms P V I R R3 20 R2 Rp 10 Effective Circuit: Parallel resistors combined act as a single series resistor

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**Combination Circuits S V I R 20 2 10 80 40 T 120 60 P V I R 20 10**

Rp R4 80 40 T 120 60 R1 = 10 ohms Vt = 120V R2 = 20 ohms R3 = 20 ohms Plug in Vt. Calculate It Series I’s are the same! 8. Plug in I’s 9. Calculate V’s R4 = 40 ohms P V I R R3 20 R2 Rp 10

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**Combination Circuits S V I R 20 2 10 80 40 T 120 60 P V I R 20 1 2 10**

Rp R4 80 40 T 120 60 R1 = 10 ohms R2 = 20 ohms R3 = 20 ohms R4 = 40 ohms Substitute the Rp row into the Parallel box. V’s are equal in a parallel circuit. Plug in V’s Calculate I’s Your done! P V I R R3 20 1 R2 Rp 2 10

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Objective of Lecture Explain mathematically how resistors in series are combined and their equivalent resistance. Chapter 2.5 Explain mathematically how.

Objective of Lecture Explain mathematically how resistors in series are combined and their equivalent resistance. Chapter 2.5 Explain mathematically how.

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