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Resistor combinations

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Daniel McClelland

This document discusses the combination of resistors in series and parallel circuits and how to calculate the total resistance. It provides the equations for calculating total resistance for resistors in series (Rtotal = R1 + R2) and parallel (1/Rtotal = 1/R1 + 1/R2). Several example calculations are shown applying these equations to circuits with 2-3 resistors in both series and parallel combinations.

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Combination of Resistors GCSE Physics
single resistor 2 resistors in parallel 2 resistors in series 3 resistors in series 3 resistors in parallel Increasing resistance
[object Object],[object Object],More about resistance... R total = R 1 + R 2 R 1 x R 2 R 1 + R 2 R total = R 1 R 2 R 1 R 2
 
Example Questions ,[object Object],5 Ω a) 7 Ω R total = R 1 + R 2 = 5 + 7 =12 Ω 12 Ω 4 Ω b) R 1 x R 2 R 1 + R 2 R total = = 12 x 4 / (12 + 4) = 48 / 16 = 3 Ω
6Ω 2Ω 7Ω c) R 1 x R 2 R 1 + R 2 R total = = 6 x 2 / (6 + 2) = 12 / 8 = 1.5 Ω Calculate the resistance of the parallel section first… 1.5Ω 7Ω This now simplifies the combination to this… R total = R 1 + R 2 = 1.5 + 7 = 8.5 Ω ,[object Object],g) – j)
Practise Questions ,[object Object],[object Object],R total = R 1 + R 2 R 1 x R 2 R 1 + R 2 R total = Series Parallel
Remember this example question: V 1 V 2 6 V 3 A A 1 A 2 V 3 A 3 What is the easiest path for the Coulombs of Charge? All bulbs are identical in power rating

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Resistor combinations

  • 2. single resistor 2 resistors in parallel 2 resistors in series 3 resistors in series 3 resistors in parallel Increasing resistance
  • 3.
  • 4.  
  • 5.
  • 6.
  • 7.
  • 8. Remember this example question: V 1 V 2 6 V 3 A A 1 A 2 V 3 A 3 What is the easiest path for the Coulombs of Charge? All bulbs are identical in power rating