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​18 VR2​8 ΩIR2​AR3​8 Ω

Find the current IR2 through R2.

V1 = 18 VR1 = 3 ΩR2 = 8 ΩR3 = 8 Ω
IR2 = A
2.Easy
R1​ = 8 ΩIR1​+−V1​10 VR2​6 ΩAR3​2 Ω

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

V1 = 10 VR1 = 8 ΩR2 = 6 ΩR3 = 2 Ω
IR1 = A
3.Medium
R1​ = 5 ΩR3​ = 5 Ω+−V1​15 VR2​20 ΩAR4​8 ΩB

Find the equivalent resistance Req seen by the source V1.

V1 = 15 VR1 = 5 ΩR2 = 20 ΩR3 = 5 ΩR4 = 8 Ω
Req = Ω
4.Medium
R1​ = 5 ΩR3​ = 8 Ω+−V1​30 VR2​15 ΩIR2​AR4​15 ΩB

Find the current IR2 through R2.

V1 = 30 VR1 = 5 ΩR2 = 15 ΩR3 = 8 ΩR4 = 15 Ω
IR2 = A
5.Hard
R1​ = 4 ΩR3​ = 4 ΩR5​ = 5 Ω+−V1​10 VR2​30 ΩAR4​25 ΩBR6​5 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 10 VR1 = 4 ΩR2 = 30 ΩR3 = 4 ΩR4 = 25 ΩR5 = 5 ΩR6 = 5 Ω
Req = Ω
6.Hard
R1​ = 25 ΩR3​ = 5 ΩR5​ = 2 Ω+−V1​24 VR2​6 ΩIR2​AR4​30 ΩBR6​30 Ω

Find the current IR2 through R2.

V1 = 24 VR1 = 25 ΩR2 = 6 ΩR3 = 5 ΩR4 = 30 ΩR5 = 2 ΩR6 = 30 Ω
IR2 = A

Answer key

  1. 1. IR2 = 1.286 A
  2. 2. IR1 = 1.053 A
  3. 3. Req = 12.88 Ω
  4. 4. IR2 = 1.29 A
  5. 5. Req = 12.13 Ω
  6. 6. IR2 = 0.6263 A

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