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​ = 12 ΩIR1​+−V1​12 VR2​6 ΩAR3​8 Ω

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

V1 = 12 VR1 = 12 ΩR2 = 6 ΩR3 = 8 Ω
IR1 = A
2.Easy
R1​ = 10 Ω+−V1​18 VR2​6 ΩAR3​4 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 18 VR1 = 10 ΩR2 = 6 ΩR3 = 4 Ω
Req = Ω
3.Medium
R1​ = 12 ΩR3​ = 10 Ω+−V1​24 VR2​3 ΩIR2​AR4​5 ΩB

Find the current IR2 through R2.

V1 = 24 VR1 = 12 ΩR2 = 3 ΩR3 = 10 ΩR4 = 5 Ω
IR2 = A
4.Medium
R1​ = 20 ΩIR1​R3​ = 12 Ω+−V1​6 VR2​3 ΩAR4​15 ΩB

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

V1 = 6 VR1 = 20 ΩR2 = 3 ΩR3 = 12 ΩR4 = 15 Ω
IR1 = A
5.Hard
R1​ = 10 ΩR3​ = 25 ΩR5​ = 8 Ω+−V1​10 VR2​4 ΩAR4​10 ΩBR6​5 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 10 VR1 = 10 ΩR2 = 4 ΩR3 = 25 ΩR4 = 10 ΩR5 = 8 ΩR6 = 5 Ω
Req = Ω
6.Hard
R1​ = 5 ΩIR1​R3​ = 8 ΩR5​ = 20 Ω+−V1​36 VR2​2 ΩAR4​6 ΩBR6​5 Ω

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

V1 = 36 VR1 = 5 ΩR2 = 2 ΩR3 = 8 ΩR4 = 6 ΩR5 = 20 ΩR6 = 5 Ω
IR1 = A

Answer key

  1. 1. IR1 = 0.7778 A
  2. 2. Req = 12.4 Ω
  3. 3. IR2 = 1.379 A
  4. 4. IR1 = 0.2643 A
  5. 5. Req = 13.54 Ω
  6. 6. IR1 = 5.349 A

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