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Total resistance of series and parallel networks

12th grade (Year 13 in England) · 16 questions · Common Core: NGSS.HS-PS3-5 · England: GCSE Physics: Electricity (resistors in series and parallel), A level Physics: Electricity (extension)

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  1. Question 1

    Three resistors of 12 Ω, 6 Ω and 5 Ω are connected in series. What is the total resistance, in Ω?

    AnswerΩ

  2. Question 2

    A 20 Ω resistor and a 30 Ω resistor are connected in parallel. What is their combined resistance, in Ω? (1/R = 1/R₁ + 1/R₂)

    AnswerΩ

  3. Question 3

    A 8 Ω resistor is in series with a parallel pair of 10 Ω and 15 Ω. The supply is 28 V. What current flows from the supply, in A?

    AnswerA

  4. Question 4

    Three resistors of 2 Ω, 3 Ω and 1 Ω are connected in series. What is the total resistance, in Ω?

    AnswerΩ

  5. Question 5

    A 12 Ω resistor and a 6 Ω resistor are connected in parallel. What is their combined resistance, in Ω? (1/R = 1/R₁ + 1/R₂)

    AnswerΩ

  6. Question 6

    A 4 Ω resistor is in series with a parallel pair of 6 Ω and 3 Ω. The supply is 12 V. What current flows from the supply, in A?

    AnswerA

  7. Question 7

    Three resistors of 12 Ω, 3 Ω and 10 Ω are connected in series. What is the total resistance, in Ω?

    AnswerΩ

  8. Question 8

    A 20 Ω resistor and a 30 Ω resistor are connected in parallel. What is their combined resistance, in Ω? (1/R = 1/R₁ + 1/R₂)

    AnswerΩ

  9. Question 9

    A 8 Ω resistor is in series with a parallel pair of 20 Ω and 30 Ω. The supply is 30 V. What current flows from the supply, in A?

    AnswerA

  10. Question 10

    Three resistors of 4 Ω, 30 Ω and 10 Ω are connected in series. What is the total resistance, in Ω?

    AnswerΩ

  11. Question 11

    A 6 Ω resistor and a 3 Ω resistor are connected in parallel. What is their combined resistance, in Ω? (1/R = 1/R₁ + 1/R₂)

    AnswerΩ

  12. Question 12

    A 2 Ω resistor is in series with a parallel pair of 20 Ω and 30 Ω. The supply is 7 V. What current flows from the supply, in A?

    AnswerA

  13. Question 13

    Three resistors of 5 Ω, 30 Ω and 1 Ω are connected in series. What is the total resistance, in Ω?

    AnswerΩ

  14. Question 14

    A 10 Ω resistor and a 10 Ω resistor are connected in parallel. What is their combined resistance, in Ω? (1/R = 1/R₁ + 1/R₂)

    AnswerΩ

  15. Question 15

    A 6 Ω resistor is in series with a parallel pair of 20 Ω and 30 Ω. The supply is 18 V. What current flows from the supply, in A?

    AnswerA

  16. Question 16

    Three resistors of 20 Ω, 6 Ω and 10 Ω are connected in series. What is the total resistance, in Ω?

    AnswerΩ

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  1. 23 Ω
  2. 12 Ω
  3. 2 A
  4. 6 Ω
  5. 4 Ω
  6. 2 A
  7. 25 Ω
  8. 12 Ω
  9. 1.5 A
  10. 44 Ω
  11. 2 Ω
  12. 0.5 A
  13. 36 Ω
  14. 5 Ω
  15. 1 A
  16. 36 Ω