Series & parallel resistors worksheet with answers

Free printable Series & parallel resistors worksheet: 6 problems from easy to exam level, with an answer key. Print it or save it as a PDF.

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1.Easy
R1​ = 3 Ω+−V1​24 VR2​5 ΩAR3​6 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 24 VR1 = 3 ΩR2 = 5 ΩR3 = 6 Ω
Req = Ω
2.Easy
R1​ = 6 Ω+−V1​15 VR2​10 ΩIR2​AR3​5 Ω

Find the current IR2 through R2.

V1 = 15 VR1 = 6 ΩR2 = 10 ΩR3 = 5 Ω
IR2 = A
3.Medium
R1​ = 8 ΩIR1​R3​ = 6 Ω+−V1​24 VR2​15 ΩAR4​20 ΩB

Find the current IR1 delivered by the source, which flows through R1.

V1 = 24 VR1 = 8 ΩR2 = 15 ΩR3 = 6 ΩR4 = 20 Ω
IR1 = A
4.Medium
R1​ = 2 ΩR3​ = 6 Ω+−V1​9 VR2​6 ΩIR2​AR4​4 ΩB

Find the current IR2 through R2.

V1 = 9 VR1 = 2 ΩR2 = 6 ΩR3 = 6 ΩR4 = 4 Ω
IR2 = A
5.Hard
R1​ = 15 ΩIR1​R3​ = 12 ΩR5​ = 30 Ω+−V1​18 VR2​8 ΩAR4​25 ΩBR6​25 Ω

Find the current IR1 delivered by the source, which flows through R1.

V1 = 18 VR1 = 15 ΩR2 = 8 ΩR3 = 12 ΩR4 = 25 ΩR5 = 30 ΩR6 = 25 Ω
IR1 = A
6.Hard
R1​ = 3 ΩIR1​R3​ = 20 ΩR5​ = 12 Ω+−V1​15 VR2​5 ΩAR4​2 ΩBR6​20 Ω

Find the current IR1 delivered by the source, which flows through R1.

V1 = 15 VR1 = 3 ΩR2 = 5 ΩR3 = 20 ΩR4 = 2 ΩR5 = 12 ΩR6 = 20 Ω
IR1 = A

Answer key

  1. 1. Req = 5.727 Ω
  2. 2. IR2 = 0.5357 A
  3. 3. IR1 = 1.37 A
  4. 4. IR2 = 0.9783 A
  5. 5. IR1 = 0.8459 A
  6. 6. IR1 = 2.122 A

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