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​ = 2 ΩIR1​+−V1​12 VR2​2 ΩAR3​5 Ω

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

V1 = 12 VR1 = 2 ΩR2 = 2 ΩR3 = 5 Ω
IR1 = A
2.Easy
R1​ = 6 Ω+−V1​24 VR2​12 ΩIR2​AR3​8 Ω

Find the current IR2 through R2.

V1 = 24 VR1 = 6 ΩR2 = 12 ΩR3 = 8 Ω
IR2 = A
3.Medium
R1​ = 6 ΩR3​ = 5 Ω+−V1​10 VR2​4 ΩAR4​20 ΩB

Find the equivalent resistance Req seen by the source V1.

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

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

V1 = 15 VR1 = 5 ΩR2 = 20 ΩR3 = 20 ΩR4 = 10 Ω
IR1 = A
5.Hard
R1​ = 4 ΩIR1​R3​ = 2 ΩR5​ = 5 Ω+−V1​12 VR2​30 ΩAR4​12 ΩBR6​5 Ω

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

V1 = 12 VR1 = 4 ΩR2 = 30 ΩR3 = 2 ΩR4 = 12 ΩR5 = 5 ΩR6 = 5 Ω
IR1 = A
6.Hard
R1​ = 12 ΩR3​ = 10 ΩR5​ = 15 Ω+−V1​9 VR2​3 ΩAR4​5 ΩBR6​3 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 9 VR1 = 12 ΩR2 = 3 ΩR3 = 10 ΩR4 = 5 ΩR5 = 15 ΩR6 = 3 Ω
Req = Ω

Answer key

  1. 1. IR1 = 3.5 A
  2. 2. IR2 = 0.8889 A
  3. 3. Req = 9.448 Ω
  4. 4. IR1 = 0.8824 A
  5. 5. IR1 = 1.204 A
  6. 6. Req = 14.47 Ω

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