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​ = 10 Ω+−V1​12 VR2​8 ΩAR3​3 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 12 VR1 = 10 ΩR2 = 8 ΩR3 = 3 Ω
Req = Ω
2.Easy
R1​ = 5 ΩIR1​+−V1​8 VR2​5 ΩAR3​10 Ω

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

V1 = 8 VR1 = 5 ΩR2 = 5 ΩR3 = 10 Ω
IR1 = A
3.Medium
R1​ = 2 ΩR3​ = 15 Ω+−V1​6 VR2​10 ΩIR2​AR4​10 ΩB

Find the current IR2 through R2.

V1 = 6 VR1 = 2 ΩR2 = 10 ΩR3 = 15 ΩR4 = 10 Ω
IR2 = A
4.Medium
R1​ = 5 ΩR3​ = 15 Ω+−V1​6 VR2​15 ΩAR4​20 ΩB

Find the equivalent resistance Req seen by the source V1.

V1 = 6 VR1 = 5 ΩR2 = 15 ΩR3 = 15 ΩR4 = 20 Ω
Req = Ω
5.Hard
R1​ = 5 ΩR3​ = 3 ΩR5​ = 8 Ω+−V1​12 VR2​10 ΩAR4​2 ΩBR6​20 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 12 VR1 = 5 ΩR2 = 10 ΩR3 = 3 ΩR4 = 2 ΩR5 = 8 ΩR6 = 20 Ω
Req = Ω
6.Hard
R1​ = 2 ΩR3​ = 6 ΩR5​ = 30 Ω+−V1​30 VR2​8 ΩIR2​AR4​2 ΩBR6​25 Ω

Find the current IR2 through R2.

V1 = 30 VR1 = 2 ΩR2 = 8 ΩR3 = 6 ΩR4 = 2 ΩR5 = 30 ΩR6 = 25 Ω
IR2 = A

Answer key

  1. 1. Req = 12.18 Ω
  2. 2. IR1 = 0.96 A
  3. 3. IR2 = 0.4688 A
  4. 4. Req = 15.5 Ω
  5. 5. Req = 8.274 Ω
  6. 6. IR2 = 2.496 A

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