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Combination Circuits Analysis and Calculations

This text explains how to analyze and calculate values in combination circuits using Ohm's Law. It covers parallel and series connections, voltage and current calculations, and resistance calculations.

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Combination Circuits Analysis and Calculations

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  1. Combination #1 down black back up red 8Ω 3A 24V 36V STEP 3 VOLTAGE THE SAME IN PARALLEL V=IR 36 = 20I I = 1.8A 36 = 30I I = 1.2A CHECK 1.8 + 1.2 = 3A 36V 60V 30Ω 20Ω 20Ω 3A 1.2A 1.8A STEP 1 Parallel 8Ω 1/30 + 1/20 = 1/R R = 12Ω 3A 24V STEP 2 Series 8 + 12 = 20Ω STEP 1 V=IR 60 = 20I I = 3A 12Ω 60V 3A 20Ω 60V 36V 3A STEP 2 CURRENT SAME IN SERIES V=IR 8(3)=24V 12(3)=36V CHECK 24+36=60V

  2. Combination #1 down black 8Ω 8Ω STEP 1 Parallel 60V 30Ω 20Ω 1/30 + 1/20 = 1/R R = 12Ω 12Ω 60V STEP 2 Series 8 + 12 = 20Ω STEP 3 V=IR 60=20I I=3A 20Ω 60V

  3. Combination #1 down black back up red 8Ω 3A 24V 36V STEP 3 VOLTAGE THE SAME IN PARALLEL V=IR 36 = 20I I = 1.8A 36 = 30I I = 1.2A CHECK 1.8 + 1.2 = 3A 36V 60V 30Ω 20Ω 20Ω 3A 1.2A 1.8A 8Ω 12Ω 60V 3A 24V STEP 1 V=IR 60 = 20I I = 3A 3A 20Ω 60V 36V 3A STEP 2 CURRENT SAME IN SERIES V=IR 8(3)=24V 12(3)=36V CHECK 24+36=60V

  4. Combination #2 down black back up red 30Ω 2A 60V 60V 60V STEP 3 VOLTAGE THE SAME IN PARALLEL V=IR 60 = 60I I = 1A CHECK 1 + 1 = 2A 120V 60Ω 60Ω 60Ω 2A 1A 1A STEP 1 Parallel 30Ω 1/60 + 1/60 = 1/R R = 30Ω 2A 60V STEP 2 Series 30 + 30 = 60Ω STEP 1 V=IR 120 = 60I I = 2A 30Ω 120V 2A 60Ω 60V 120V 2A STEP 2 CURRENT SAME IN SERIES V=IR 30(2)=60V 30(2)=60V CHECK 60+60=120V

  5. Combination #2 down black 30Ω STEP 1 Parallel 120V 60Ω 60Ω 1/60 + 1/60 = 1/R R = 30Ω 30Ω STEP 2 Series 30 + 30 = 60Ω STEP 3 V=IR 120=60I I=2A 30Ω 120V 60Ω 120V 2A

  6. Combination #2 down black back up red 30Ω 2A 60V 60V 60V STEP 3 VOLTAGE THE SAME IN PARALLEL V=IR 60 = 60I I = 1A CHECK 1 + 1 = 2A 120V 60Ω 60Ω 60Ω 2A 1A 1A 30Ω 2A 60V STEP 1 V=IR 120 = 60I I = 2A 30Ω 120V 2A 60Ω 60V 120V 2A STEP 2 CURRENT SAME IN SERIES V=IR 30(2)=60V 30(2)=60V CHECK 60+60=120V

  7. Combination #3 down black back up red 12Ω 4.18V 3Ω STEP 3 VOLTAGE SAME IN PARALLEL V=IR 4.18=12I I= .35A 4.18=8I I = .52A CHECK .35 + .52 = .87 .87A 8Ω 4.18V 2.61V 12V 13.8Ω .87A 6Ω 5.22V .87A STEP 1 PARALLEL 1/12 + 1/8 = 1/R R = 4.8Ω STEP 1 V=IR 12 = 13.8I I = .87A STEP 2 SERIES 3+4.8+6 = R R = 13.8Ω 3Ω 4.8Ω .87A .87A 4.18V 2.61V 12V 13.8Ω 12V .87A .87A .87A 6Ω 5.22V STEP 2 CURRENT SAME IN SERIES V=IR 3(.87)= 2.61V 4.8(.87) = 4.18V 6(.87) = 5.22V CHECK 2.61+4.18+5.22 = 12.01V .35A .52A

  8. Combination #3 down black 12Ω 3Ω 8Ω 12V 6Ω STEP 1 PARALLEL 1/12 + 1/8 = 1/R R = 4.8Ω STEP 3 V=IR 12 = 13.8I I = .87A STEP 2 SERIES 3+4.8+6 = R R = 13.8Ω 3Ω 4.8Ω 12V 13.8Ω 12V .87A 6Ω

  9. Combination #3 down black back up red 12Ω 4.18V 3Ω STEP 3 VOLTAGE SAME IN PARALLEL V=IR 4.18=12I I= .35A 4.18=8I I = .52A CHECK .35 + .52 = .87 .87A 8Ω 4.18V 2.61V 12V 13.8Ω .87A 6Ω 5.22V .87A STEP 1 V=IR 12 = 13.8I I = .87A 3Ω 4.8Ω .87A .87A 4.18V 2.61V 12V 13.8Ω 12V .87A .87A .87A 6Ω 5.22V STEP 2 CURRENT SAME IN SERIES V=IR 3(.87)= 2.61V 4.8(.87) = 4.18V 6(.87) = 5.22V CHECK 2.61+4.18+5.22 = 12.01V .35A .52A

  10. Combination #4 5Ω STEP 5 VOLTAGE SAME PARALLEL V=IR 12=15I I=.8A 12=10I I=1.2A CHECK .8+1.2 = 2A 4Ω down black back up red 4A 20V 8V 2A 14Ω 15Ω 10Ω 60V 12V 12V 28V 4A 2A 1.2A .8A 15Ω 4Ω 3Ω 8V 2A 4A 12V STEP 1 PARALLEL 1/10 + 1/15 = 1/R R = 6Ω STEP 4 CURRENT SAME IN SERIES V=IR 4(2)=8 6(2)=12 4(2)=8 CHECK 8+12+8 = 28 5Ω 4Ω 8V 4A 2A 20V 60V 14Ω 6Ω 12V 2A 4A 28V 15Ω 2A 4Ω 3Ω 8V 2A 4A 12V

  11. 5Ω 4A 20V 14Ω 14Ω 60V 28V 4A 2A 15Ω 3Ω STEP 3 PARALLEL 1/14 + 1/14 = 1/R R = 7Ω 5Ω 15Ω 60V 7Ω 60V 3Ω #4 STEP 2 SERIES 4+6+4 = 14Ω STEP 3 PARALLEL VOLTAGE THE SAME V=IR 28=14I I = 2A CHECK 2+2 = 4 28V 2A 4A 12V STEP 4 SERIES 5+7+3 = 15Ω STEP 1 V=IR 60 = 15I I = 4A 4A 20V 4A 4A 4A 15Ω 28V 4A 12V STEP 2 V=IR 5(4)=20 7(4)=28 3(4)=12 CHECK 20+28+12= 60

  12. 10Ω II Handout 8Ω 9V 6Ω 5Ω 4Ω

  13. 10Ω .43A 4.32V 8Ω 6Ω 5Ω 9V .93A 4Ω .5A 9.64Ω 4.65V 3V .93A .43A 4.32V 6Ω 2.67Ω 5Ω 9V .93A .5A 9.64Ω .5A 4.65V 3V 1.34V .93A II Handout Step 1 1/8 + 1/4 = 1/R R = 2.67Ω 1.34V .17A 1.34V .34A 10Ω STEP 4 VOLTAGE SAME IN PARALLEL V = IR 1.34 = 8I I = .17A 1.34 = 4I I = .34A CHECK .17 + .34 = .51

  14. 10Ω .43A 4.32V 6Ω 2.67Ω 5Ω 9V .93A .5A .5A 9.64Ω 4.65V 1.34V 3V .93A 10Ω .43A 4.32V 8.67Ω 5Ω 9V .93A 9.64Ω .5A 4.65V 4.32V .93A II Handout Step 2 Series 6 + 2.67 = 8.67Ω STEP 3 CURRENT SAME IN SERIES V = IR 6(.5) = 3V 2.67(.5) = 1.34V CHECK 3 + 1.34 = 4.34V

  15. 10Ω 8.67Ω 5Ω 9V .93A 4.65V .93A 4.32V 4.64Ω 5Ω 9V .93A 4.65V II Handout .43A 4.32V Step 3 Parallel 1/10 + 1/8.67 = 1/R R = 4.64 Ω .5A 4.32V 9.64Ω .93A Step 2 Voltage same in parallel V = IR 4.32 = 10 I I = .43A 4.32 = 8.67 I I = .5A CHECK .43 + .5 = .93

  16. 4.64Ω .93A 4.32V 5Ω 9V .93A 9.64Ω II Handout Step 4 Series 4.64 + 5 = 9.64Ω .93A 4.65V Step 1 Current same in series V=IR 4.64(.93) = 4.32V 5(.93) = 4.65V Check 4.32 + 4.65 = 8.97V Step 5 V=IR 9 = 4.64 I I = .93 A 9V

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