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AQA A Level Physics復習筆記5.3.1 Resistors in Series & Parallel

Category: A-level課程, 教材筆記, 福利干貨 Date: 2022年7月11日 下午2:54

Resistors in Series & Parallel

 

Resistors in Series

  • When two or more components are connected in series:

The combined resistance of the components is equal to the sum of individual resistances

10.1.2.4-Resistors-in-series-diagram

Resistors connected in series

 

  • To calculate the total resistance of resistors in series:

10.1.2.4-Resistors-in-series-equation

Worked Example

The combined resistance?R?in the following series circuit is 60 Ω.What is the resistance value of R2?WE-Resistors-in-series-question-imageA.? ? ?100 Ω? ? ? ? ? ? ? ?B.? ? ?30 Ω? ? ? ? ? ? ? ?C.? ? ?20 Ω? ? ? ? ? ? ? ?D.? ? ?40 Ω

WE-Resistors-in-series-answer-image

Resistors in Parallel

  • When two or component are connected in parallel:
    • The reciprocal of the combined resistance is the sum of the reciprocals of the individual resistances

     

10.1.2.6-Resistors-in-parallel-diagram

Resistors connected in parallel

 

  • To calculate the total resistance of resistors in parallel:

10.1.2.6-Resistors-in-parallel-equation

  • This means as more resistors are added, their combined resistance decreases and is, therefore, less than the resistance of the individual components
    • For example, If two resistors of equal resistance are connected in parallel, then the combined resistance will halve

     

Worked Example

WE-Resistors-in-parallel-question-image-1

WE-Resistors-in-parallel-answer-image

Exam Tip

The most common mistake in questions about parallel resistors is to forget to find the reciprocal of?RT?(1/RT) instead of?RT. Here is a maths tip to rejig your memory on reciprocals:

  • The reciprocal of a value is 1 / value
  • For example, the reciprocal of a whole number such as 2 equals ?
    • Conversely, the reciprocal of ? is 2

     

  • If the number is already a fraction, the numerator and denominator are ‘flipped’ round

10.1.2.6-Reciprocals

The reciprocal of a number is 1 ÷ number

  • In the case of the resistance?R, this becomes 1/R
  • To get the value of?R?from 1/R, you must calculate 1?÷?your answer
  • You can also use the reciprocal button on your calculator (labelled either x-1?or 1/x, depending on your calculator)

 

轉載自savemyexams

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