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# Resistors measurement in series and parallel circuits

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### Resistors measurement in series and parallel circuits

1. 1. Resistors in Series and Parallel Circuits
2. 2. Resistors in circuits  To determine the current or voltage in a circuit that contains multiple resistors, the total resistance must first be calculated.  Resistors can be combined in series or parallel.
3. 3. Resistors in Series  When connected in series, the total resistance (Rt) is equal to: Rt = R1 + R2 + R3 +…  The total resistance is always larger than any individual resistance.
4. 4. Sample Problem 10 V 15 Ω 10 Ω 6 Ω Calculate the total current through the circuit. Rt = 15 Ω +10 Ω + 6 Ω Rt = 31 Ω I = V/Rt = 10 V/ 31 Ω = 0.32 A
5. 5.  Since charge has only one path to flow through, the current that passes through each resistor is the same.  The sum of all potential differences equals the potential difference across the battery. Resistors in Series 10 V 5 V 3 V 2 V> R value = > V Value
6. 6. Resistors in Parallel  When connected in parallel, the total resistance (Rt) is equal to: 1/Rt = 1/R1 + 1/R2 + 1/R3 +…  Due to this reciprocal relationship, the total resistance is always smaller than any individual resistance.
7. 7. Sample Problem 12 Ω 4 Ω 6 Ω Calculate the total resistance through this segment of a circuit. 1/Rt = 1/12 Ω +1/4 Ω + 1/6 Ω = 1/12 Ω + 3/12 Ω + 2/12 Ω 1/Rt = 6/12 Ω = ½ Ω Rt = 2 Ω
8. 8.  Since there is more than one possible path, the current divides itself according to the resistance of each path. smallest resistor = more current passes largest resistor = least current passes Resistors in Parallel
9. 9.  The voltage across each resistor in a parallel combination is the same. Resistors in Parallel 10 V 10 V 10 V 10 V
10. 10. Calculate the total resistance in the circuit below + - 3 Ω 2 Ω 6 Ω 4 Ω Rtot = 3 Ω + 2 Ω = 5 Ω Rtot = 6 Ω + 4 Ω = 10 Ω 1/Rtot = 2/10 Ω+ 1/10 Ω = 3/10 Ω Rtot = 3 1/3 Ω