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SERIES, PARALLEL, AND SERIES-PARALLEL CIRCUITS 41
Objectives ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Objectives ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
SERIES CIRCUITS
Series Circuits ,[object Object],[object Object]
OHM’S LAW AND SERIES CIRCUITS
Ohm’s Law and Series Circuits ,[object Object],[object Object],[object Object]
Figure 41-1   A series circuit with three bulbs. All current flows through all resistances (bulbs). The total resistance of the circuit is the sum of the total resistance of the bulbs, and the bulbs will light dimly because of the increased resistance and the reduction of current flow (amperes) through the circuit.
Ohm’s Law and Series Circuits ,[object Object],[object Object],[object Object],[object Object]
Figure 41-2   A series circuit with two bulbs.
Ohm’s Law and Series Circuits ,[object Object],[object Object],[object Object],[object Object]
KIRCHHOFF’S VOLTAGE LAW
Kirchhoff’s Voltage Law ,[object Object],[object Object]
Kirchhoff’s Voltage Law ,[object Object],[object Object]
Figure 41-3   As current flows through a circuit, the voltage drops in proportion to the amount of resistance in the circuit. Most, if not all, of the resistance should occur across the load such as the bulb in this circuit. All of the other components and wiring should produce little, if any, voltage drop. If a wire or connection did cause a voltage drop, less voltage would be available to light the bulb and the bulb would be dimmer than normal.
Figure 41-4   In a series circuit the voltage is dropped or lowered by each resistance in the circuit. The higher the resistance, the greater the drop in voltage.
Kirchhoff’s Voltage Law ,[object Object],[object Object],[object Object]
Kirchhoff’s Voltage Law ,[object Object],[object Object],[object Object]
Kirchhoff’s Voltage Law ,[object Object],[object Object],[object Object]
Kirchhoff’s Voltage Law ,[object Object],[object Object],[object Object]
Kirchhoff’s Voltage Law ,[object Object],[object Object],[object Object]
Kirchhoff’s Voltage Law ,[object Object],[object Object],[object Object]
Kirchhoff’s Voltage Law ,[object Object],[object Object],[object Object]
Kirchhoff’s Voltage Law ,[object Object],[object Object],[object Object]
Figure 41-5   A voltmeter reads the differences of voltage between the test leads. The voltage read across a resistance is the voltage drop that occurs when current flows through a resistance. A voltage drop is also called an “ IR ” drop because it is calculated by multiplying the current ( I ) through the resistance (electrical load) by the value of the resistance ( R ).
Kirchhoff’s Voltage Law ,[object Object],[object Object],[object Object],[object Object]
Kirchhoff’s Voltage Law ,[object Object],[object Object],[object Object],[object Object]
Kirchhoff’s Voltage Law ,[object Object],[object Object],[object Object],[object Object],?
SERIES CIRCUIT LAWS
Series Circuit Laws ,[object Object],[object Object]
Figure 41-6   In this series circuit with a 2-ohm resistor and a 4-ohm resistor, current (2 amperes) is the same throughout even though the voltage drops across each resistor.
Series Circuit Laws ,[object Object],[object Object],[object Object]
Series Circuit Laws ,[object Object],[object Object],[object Object]
SERIES CIRCUIT EXAMPLES
Series Circuit Examples ,[object Object],[object Object],[object Object],[object Object]
Figure 41-7   Example 1.
Series Circuit Examples ,[object Object],[object Object],[object Object]
Figure 41-8   Example 2.
Series Circuit Examples ,[object Object],[object Object],[object Object],[object Object]
Series Circuit Examples ,[object Object],[object Object],[object Object]
Figure 41-9   Example 3.
Series Circuit Examples ,[object Object],[object Object],[object Object]
Series Circuit Examples ,[object Object],[object Object],[object Object]
Series Circuit Examples ,[object Object],[object Object],[object Object]
Figure 41-10   Example 4.
Series Circuit Examples ,[object Object],[object Object],[object Object]
Series Circuit Examples ,[object Object],[object Object],[object Object]
PARALLEL CIRCUITS
Parallel Circuits ,[object Object],[object Object]
Parallel Circuits ,[object Object],[object Object]
KIRCHHOFF’S CURRENT LAW
Kirchhoff’s Current Law ,[object Object],[object Object]
Figure 41-11   The amount of current flowing into junction point A equals the total amount of current flowing out of the junction.
Kirchhoff’s Current Law ,[object Object]
Kirchhoff’s Current Law ,[object Object]
Kirchhoff’s Current Law ,[object Object]
PARALLEL CIRCUIT LAWS
Parallel Circuit Laws ,[object Object],[object Object],[object Object],[object Object]
Parallel Circuit Laws ,[object Object]
Parallel Circuit Laws ,[object Object],[object Object],[object Object]
Figure 41-12   The current in a parallel circuit splits (divides) according to the resistance in each branch.
DETERMINING TOTAL RESISTANCE IN A PARALLEL CIRCUIT
Determining Total Resistance in a Parallel Circuit ,[object Object],[object Object]
Figure 41-13   In a typical parallel circuit, each resistance has power and ground and each leg operates independently of the other legs of the circuit.
Determining Total Resistance in a Parallel Circuit ,[object Object],[object Object],[object Object]
Determining Total Resistance in a Parallel Circuit ,[object Object],[object Object]
Determining Total Resistance in a Parallel Circuit ,[object Object],[object Object]
Determining Total Resistance in a Parallel Circuit ,[object Object],[object Object]
Determining Total Resistance in a Parallel Circuit ,[object Object],[object Object]
Determining Total Resistance in a Parallel Circuit ,[object Object],[object Object],[object Object]
Determining Total Resistance in a Parallel Circuit ,[object Object]
Determining Total Resistance in a Parallel Circuit ,[object Object],[object Object]
Figure 41-14   A schematic showing two resistors in parallel connected to a 12-volt battery.
Determining Total Resistance in a Parallel Circuit ,[object Object],[object Object],[object Object]
Determining Total Resistance in a Parallel Circuit ,[object Object],[object Object]
Determining Total Resistance in a Parallel Circuit ,[object Object],[object Object]
Determining Total Resistance in a Parallel Circuit ,[object Object],[object Object]
Determining Total Resistance in a Parallel Circuit ,[object Object],[object Object]
Figure 41-15   A parallel circuit with three resistors connected to a 12-volt battery.
Determining Total Resistance in a Parallel Circuit ,[object Object],[object Object],[object Object]
Determining Total Resistance in a Parallel Circuit ,[object Object],[object Object],[object Object]
Determining Total Resistance in a Parallel Circuit ,[object Object],[object Object],[object Object]
Determining Total Resistance in a Parallel Circuit ,[object Object],[object Object]
Determining Total Resistance in a Parallel Circuit ,[object Object]
Figure 41-16   Using an electronic calculator to determine the total resistance of a parallel circuit.
Figure 41-17   Another example of how to use an electronic calculator to determine the total resistance of a parallel circuit. The answer is 13.45 ohms. Notice that the effective resistance of this circuit is less than the resistance of the lowest branch (20 ohms).
Determining Total Resistance in a Parallel Circuit ,[object Object]
Figure 41-18   A parallel circuit containing four 12-ohm resistors. When a circuit has more than one resistor of equal value, the total resistance can be determined by simply dividing the value of the resistance (12 ohms in this example) by the number of equal-value resistors (4 in this example) to get 3 ohms.
Determining Total Resistance in a Parallel Circuit ,[object Object],[object Object],[object Object]
PARALLEL CIRCUIT EXAMPLES
Parallel Circuit Examples ,[object Object],[object Object],[object Object],[object Object]
Figure 41-19   Example 1.
Parallel Circuit Examples ,[object Object],[object Object],[object Object]
Parallel Circuit Examples ,[object Object],[object Object],[object Object],[object Object],[object Object]
Figure 41-20   Example 2.
Parallel Circuit Examples ,[object Object],[object Object],[object Object]
Parallel Circuit Examples ,[object Object],[object Object],[object Object]
Parallel Circuit Examples ,[object Object],[object Object],[object Object]
Parallel Circuit Examples ,[object Object],[object Object],[object Object]
Parallel Circuit Examples ,[object Object],[object Object],[object Object]
Parallel Circuit Examples ,[object Object],[object Object],[object Object]
Figure 41-21   Example 3.
Parallel Circuit Examples ,[object Object],[object Object],[object Object]
Parallel Circuit Examples ,[object Object],[object Object],[object Object],[object Object]
Parallel Circuit Examples ,[object Object],[object Object],[object Object]
Parallel Circuit Examples ,[object Object],[object Object],[object Object]
Figure 41-22   Example 4.
Parallel Circuit Examples ,[object Object],[object Object],[object Object]
Parallel Circuit Examples ,[object Object],[object Object],[object Object]
Parallel Circuit Examples ,[object Object],[object Object],[object Object]
Parallel Circuit Examples ,[object Object],[object Object],[object Object]
Parallel Circuit Examples ,[object Object],[object Object],[object Object]
SERIES-PARALLEL CIRCUITS
Series-Parallel Circuits ,[object Object],[object Object]
Series-Parallel Circuits ,[object Object],[object Object],[object Object]
Series-Parallel Circuits ,[object Object],[object Object],[object Object]
Figure 41-23   A series-parallel circuit.
Series-Parallel Circuits ,[object Object],[object Object],[object Object]
Series-Parallel Circuits ,[object Object],[object Object],[object Object]
Series-Parallel Circuits ,[object Object],[object Object],[object Object]
Figure 41-24   This complete headlight circuit with all bulbs and switches is a series-parallel circuit.
Series-Parallel Circuits ,[object Object],[object Object]
Series-Parallel Circuits ,[object Object],[object Object],[object Object]
Series-Parallel Circuits ,[object Object],[object Object],[object Object]
Series-Parallel Circuits ,[object Object],[object Object]
SOLVING SERIES-PARALLEL CIRCUIT PROBLEMS
Solving Series-Parallel Circuit Problems ,[object Object],[object Object],[object Object]
Figure 41-25   Solving a series-parallel circuit problem.
SERIES-PARALLEL CIRCUIT EXAMPLES
Series-Parallel Circuit Examples ,[object Object],[object Object],[object Object],[object Object]
Figure 41-26   Example 1.
Series-Parallel Circuit Examples ,[object Object],[object Object],[object Object]
Series-Parallel Circuit Examples ,[object Object],[object Object]
Series-Parallel Circuit Examples ,[object Object],[object Object],[object Object]
Figure 41-27   Example 2.
Series-Parallel Circuit Examples ,[object Object],[object Object],[object Object],[object Object]
Series-Parallel Circuit Examples ,[object Object],[object Object],[object Object]
Series-Parallel Circuit Examples ,[object Object],[object Object],[object Object]
Series-Parallel Circuit Examples ,[object Object]
Series-Parallel Circuit Examples ,[object Object],[object Object],[object Object]
Series-Parallel Circuit Examples ,[object Object],[object Object],[object Object]
Series-Parallel Circuit Examples ,[object Object],[object Object],[object Object]
Figure 41-28   Example 3.
Series-Parallel Circuit Examples ,[object Object],[object Object],[object Object]
Series-Parallel Circuit Examples ,[object Object],[object Object]
Series-Parallel Circuit Examples ,[object Object],[object Object]
Series-Parallel Circuit Examples ,[object Object]
Series-Parallel Circuit Examples ,[object Object],[object Object],[object Object]
Series-Parallel Circuit Examples ,[object Object],[object Object],[object Object]
Figure 41-29   Example 4.
Series-Parallel Circuit Examples ,[object Object],[object Object],[object Object]
Series-Parallel Circuit Examples ,[object Object],[object Object],[object Object],[object Object]
Series-Parallel Circuit Examples ,[object Object]
Series-Parallel Circuit Examples ,[object Object],[object Object],[object Object]
Series-Parallel Circuit Examples ,[object Object]
Series-Parallel Circuit Examples ,[object Object],[object Object],[object Object],[object Object]
TECH TIP ,[object Object],[object Object],BACK TO  PRESENTATION If a circuit has little or no resistance (for example, a short circuit), then as many electrons (amperes) as possible attempt to flow through the complete circuit. If the flow exceeds the capacity of the fuse or the circuit breaker, then the circuit is opened and all current flow stops.
FREQUENTLY ASKED QUESTION ,[object Object],[object Object],? BACK TO  PRESENTATION ,[object Object],[object Object],[object Object],[object Object],A voltage drop test is also easier to perform because the resistance does not have to be known, only that the unwanted loss of voltage in a circuit should be less than 3% or less than about 0.14 volts for any 12-volt circuit.
TECH TIP ,[object Object],[object Object],BACK TO  PRESENTATION In a parallel circuit where there is more than one path for the current to flow, most of the current will flow through the branch with the lower resistance. This does not mean that all of the current will flow through the lowest resistance, because the other path does provide a path to ground, and the amount of current flow through the other branches is determined by the resistance and the applied voltage according to Ohm’s law. Therefore, the only place where electricity takes the path of least resistance is in a series circuit where there are not other paths for the current to flow.

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Halderman ch041 lecture

  • 1. SERIES, PARALLEL, AND SERIES-PARALLEL CIRCUITS 41
  • 2.
  • 3.
  • 5.
  • 6. OHM’S LAW AND SERIES CIRCUITS
  • 7.
  • 8. Figure 41-1 A series circuit with three bulbs. All current flows through all resistances (bulbs). The total resistance of the circuit is the sum of the total resistance of the bulbs, and the bulbs will light dimly because of the increased resistance and the reduction of current flow (amperes) through the circuit.
  • 9.
  • 10. Figure 41-2 A series circuit with two bulbs.
  • 11.
  • 13.
  • 14.
  • 15. Figure 41-3 As current flows through a circuit, the voltage drops in proportion to the amount of resistance in the circuit. Most, if not all, of the resistance should occur across the load such as the bulb in this circuit. All of the other components and wiring should produce little, if any, voltage drop. If a wire or connection did cause a voltage drop, less voltage would be available to light the bulb and the bulb would be dimmer than normal.
  • 16. Figure 41-4 In a series circuit the voltage is dropped or lowered by each resistance in the circuit. The higher the resistance, the greater the drop in voltage.
  • 17.
  • 18.
  • 19.
  • 20.
  • 21.
  • 22.
  • 23.
  • 24.
  • 25. Figure 41-5 A voltmeter reads the differences of voltage between the test leads. The voltage read across a resistance is the voltage drop that occurs when current flows through a resistance. A voltage drop is also called an “ IR ” drop because it is calculated by multiplying the current ( I ) through the resistance (electrical load) by the value of the resistance ( R ).
  • 26.
  • 27.
  • 28.
  • 30.
  • 31. Figure 41-6 In this series circuit with a 2-ohm resistor and a 4-ohm resistor, current (2 amperes) is the same throughout even though the voltage drops across each resistor.
  • 32.
  • 33.
  • 35.
  • 36. Figure 41-7 Example 1.
  • 37.
  • 38. Figure 41-8 Example 2.
  • 39.
  • 40.
  • 41. Figure 41-9 Example 3.
  • 42.
  • 43.
  • 44.
  • 45. Figure 41-10 Example 4.
  • 46.
  • 47.
  • 49.
  • 50.
  • 52.
  • 53. Figure 41-11 The amount of current flowing into junction point A equals the total amount of current flowing out of the junction.
  • 54.
  • 55.
  • 56.
  • 58.
  • 59.
  • 60.
  • 61. Figure 41-12 The current in a parallel circuit splits (divides) according to the resistance in each branch.
  • 62. DETERMINING TOTAL RESISTANCE IN A PARALLEL CIRCUIT
  • 63.
  • 64. Figure 41-13 In a typical parallel circuit, each resistance has power and ground and each leg operates independently of the other legs of the circuit.
  • 65.
  • 66.
  • 67.
  • 68.
  • 69.
  • 70.
  • 71.
  • 72.
  • 73. Figure 41-14 A schematic showing two resistors in parallel connected to a 12-volt battery.
  • 74.
  • 75.
  • 76.
  • 77.
  • 78.
  • 79. Figure 41-15 A parallel circuit with three resistors connected to a 12-volt battery.
  • 80.
  • 81.
  • 82.
  • 83.
  • 84.
  • 85. Figure 41-16 Using an electronic calculator to determine the total resistance of a parallel circuit.
  • 86. Figure 41-17 Another example of how to use an electronic calculator to determine the total resistance of a parallel circuit. The answer is 13.45 ohms. Notice that the effective resistance of this circuit is less than the resistance of the lowest branch (20 ohms).
  • 87.
  • 88. Figure 41-18 A parallel circuit containing four 12-ohm resistors. When a circuit has more than one resistor of equal value, the total resistance can be determined by simply dividing the value of the resistance (12 ohms in this example) by the number of equal-value resistors (4 in this example) to get 3 ohms.
  • 89.
  • 91.
  • 92. Figure 41-19 Example 1.
  • 93.
  • 94.
  • 95. Figure 41-20 Example 2.
  • 96.
  • 97.
  • 98.
  • 99.
  • 100.
  • 101.
  • 102. Figure 41-21 Example 3.
  • 103.
  • 104.
  • 105.
  • 106.
  • 107. Figure 41-22 Example 4.
  • 108.
  • 109.
  • 110.
  • 111.
  • 112.
  • 114.
  • 115.
  • 116.
  • 117. Figure 41-23 A series-parallel circuit.
  • 118.
  • 119.
  • 120.
  • 121. Figure 41-24 This complete headlight circuit with all bulbs and switches is a series-parallel circuit.
  • 122.
  • 123.
  • 124.
  • 125.
  • 127.
  • 128. Figure 41-25 Solving a series-parallel circuit problem.
  • 130.
  • 131. Figure 41-26 Example 1.
  • 132.
  • 133.
  • 134.
  • 135. Figure 41-27 Example 2.
  • 136.
  • 137.
  • 138.
  • 139.
  • 140.
  • 141.
  • 142.
  • 143. Figure 41-28 Example 3.
  • 144.
  • 145.
  • 146.
  • 147.
  • 148.
  • 149.
  • 150. Figure 41-29 Example 4.
  • 151.
  • 152.
  • 153.
  • 154.
  • 155.
  • 156.
  • 157.
  • 158.
  • 159.

Editor's Notes

  1. Figure 41-1 A series circuit with three bulbs. All current flows through all resistances (bulbs). The total resistance of the circuit is the sum of the total resistance of the bulbs, and the bulbs will light dimly because of the increased resistance and the reduction of current flow (amperes) through the circuit.
  2. Figure 41-2 A series circuit with two bulbs.
  3. Figure 41-3 As current flows through a circuit, the voltage drops in proportion to the amount of resistance in the circuit. Most, if not all, of the resistance should occur across the load such as the bulb in this circuit. All of the other components and wiring should produce little, if any, voltage drop. If a wire or connection did cause a voltage drop, less voltage would be available to light the bulb and the bulb would be dimmer than normal.
  4. Figure 41-4 In a series circuit the voltage is dropped or lowered by each resistance in the circuit. The higher the resistance, the greater the drop in voltage.
  5. Figure 41-5 A voltmeter reads the differences of voltage between the test leads. The voltage read across a resistance is the voltage drop that occurs when current flows through a resistance. A voltage drop is also called an “ IR ” drop because it is calculated by multiplying the current ( I ) through the resistance (electrical load) by the value of the resistance ( R ).
  6. Figure 41-6 In this series circuit with a 2-ohm resistor and a 4-ohm resistor, current (2 amperes) is the same throughout even though the voltage drops across each resistor.
  7. Figure 41-7 Example 1.
  8. Figure 41-8 Example 2.
  9. Figure 41-9 Example 3.
  10. Figure 41-10 Example 4.
  11. Figure 41-11 The amount of current flowing into junction point A equals the total amount of current flowing out of the junction.
  12. Figure 41-12 The current in a parallel circuit splits (divides) according to the resistance in each branch.
  13. Figure 41-13 In a typical parallel circuit, each resistance has power and ground and each leg operates independently of the other legs of the circuit.
  14. Figure 41-14 A schematic showing two resistors in parallel connected to a 12-volt battery.
  15. Figure 41-15 A parallel circuit with three resistors connected to a 12-volt battery.
  16. Figure 41-16 Using an electronic calculator to determine the total resistance of a parallel circuit.
  17. Figure 41-17 Another example of how to use an electronic calculator to determine the total resistance of a parallel circuit. The answer is 13.45 ohms. Notice that the effective resistance of this circuit is less than the resistance of the lowest branch (20 ohms).
  18. Figure 41-18 A parallel circuit containing four 12-ohm resistors. When a circuit has more than one resistor of equal value, the total resistance can be determined by simply dividing the value of the resistance (12 ohms in this example) by the number of equalvalue resistors (4 in this example) to get 3 ohms.
  19. Figure 41-19 Example 1.
  20. Figure 41-20 Example 2.
  21. Figure 41-21 Example 3.
  22. Figure 41-22 Example 4.
  23. Figure 41-23 A series-parallel circuit.
  24. Figure 41-24 This complete headlight circuit with all bulbs and switches is a series-parallel circuit.
  25. Figure 41-25 Solving a series-parallel circuit problem.
  26. Figure 41-26 Example 1.
  27. Figure 41-27 Example 2.
  28. Figure 41-28 Example 3.
  29. Figure 41-29 Example 4.