Resistors measurement in series and parallel circuits
Download as PPTX, PDF1 like1,876 views
This document discusses resistors in series and parallel circuits. It explains that to calculate current or voltage, the total resistance must first be determined. For resistors in series, the total resistance is equal to the sum of the individual resistances. For resistors in parallel, the total resistance is calculated by taking the reciprocal of the sum of the reciprocals of the individual resistances, which is always smaller than any single resistance. Sample problems are provided for calculating total resistance and current in both series and parallel circuits.
Resistors measurement in series and parallel circuits
- 1. Resistors in Series and Parallel Circuits
- 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. 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. 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. 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. 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. 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. 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. The voltage across each resistor in a parallel combination is the same. Resistors in Parallel 10 V 10 V 10 V 10 V
- 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