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 Ω+−V1​12 VR2​2 ΩAR3​2 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 12 VR1 = 12 ΩR2 = 2 ΩR3 = 2 Ω
Req = Ω
2.Easy
R1​ = 4 ΩIR1​+−V1​12 VR2​8 ΩAR3​5 Ω

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

V1 = 12 VR1 = 4 ΩR2 = 8 ΩR3 = 5 Ω
IR1 = A
3.Medium
R1​ = 15 ΩR3​ = 12 Ω+−V1​12 VR2​3 ΩIR2​AR4​2 ΩB

Find the current IR2 through R2.

V1 = 12 VR1 = 15 ΩR2 = 3 ΩR3 = 12 ΩR4 = 2 Ω
IR2 = A
4.Medium
R1​ = 3 ΩR3​ = 3 Ω+−V1​24 VR2​12 ΩAR4​15 ΩB

Find the equivalent resistance Req seen by the source V1.

V1 = 24 VR1 = 3 ΩR2 = 12 ΩR3 = 3 ΩR4 = 15 Ω
Req = Ω
5.Hard
R1​ = 6 ΩR3​ = 20 ΩR5​ = 10 Ω+−V1​9 VR2​2 ΩIR2​AR4​4 ΩBR6​6 Ω

Find the current IR2 through R2.

V1 = 9 VR1 = 6 ΩR2 = 2 ΩR3 = 20 ΩR4 = 4 ΩR5 = 10 ΩR6 = 6 Ω
IR2 = A
6.Hard
R1​ = 25 ΩIR1​R3​ = 30 ΩR5​ = 30 Ω+−V1​24 VR2​5 ΩAR4​10 ΩBR6​3 Ω

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

V1 = 24 VR1 = 25 ΩR2 = 5 ΩR3 = 30 ΩR4 = 10 ΩR5 = 30 ΩR6 = 3 Ω
IR1 = A

Answer key

  1. 1. Req = 13 Ω
  2. 2. IR1 = 1.696 A
  3. 3. IR2 = 0.5657 A
  4. 4. Req = 10.2 Ω
  5. 5. IR2 = 1.057 A
  6. 6. IR1 = 0.8159 A

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