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​ = 4 ΩIR1​+−V1​6 VR2​10 ΩAR3​8 Ω

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

V1 = 6 VR1 = 4 ΩR2 = 10 ΩR3 = 8 Ω
IR1 = A
2.Easy
R1​ = 10 Ω+−V1​18 VR2​6 ΩIR2​AR3​10 Ω

Find the current IR2 through R2.

V1 = 18 VR1 = 10 ΩR2 = 6 ΩR3 = 10 Ω
IR2 = A
3.Medium
R1​ = 8 ΩR3​ = 12 Ω+−V1​18 VR2​6 ΩAR4​20 ΩB

Find the equivalent resistance Req seen by the source V1.

V1 = 18 VR1 = 8 ΩR2 = 6 ΩR3 = 12 ΩR4 = 20 Ω
Req = Ω
4.Medium
R1​ = 2 ΩR3​ = 5 Ω+−V1​10 VR2​20 ΩAR4​5 ΩB

Find the equivalent resistance Req seen by the source V1.

V1 = 10 VR1 = 2 ΩR2 = 20 ΩR3 = 5 ΩR4 = 5 Ω
Req = Ω
5.Hard
R1​ = 8 ΩR3​ = 3 ΩR5​ = 15 Ω+−V1​5 VR2​25 ΩIR2​AR4​2 ΩBR6​25 Ω

Find the current IR2 through R2.

V1 = 5 VR1 = 8 ΩR2 = 25 ΩR3 = 3 ΩR4 = 2 ΩR5 = 15 ΩR6 = 25 Ω
IR2 = A
6.Hard
R1​ = 25 ΩR3​ = 8 ΩR5​ = 15 Ω+−V1​12 VR2​3 ΩIR2​AR4​20 ΩBR6​6 Ω

Find the current IR2 through R2.

V1 = 12 VR1 = 25 ΩR2 = 3 ΩR3 = 8 ΩR4 = 20 ΩR5 = 15 ΩR6 = 6 Ω
IR2 = A

Answer key

  1. 1. IR1 = 0.7105 A
  2. 2. IR2 = 0.8182 A
  3. 3. Req = 13.05 Ω
  4. 4. Req = 8.667 Ω
  5. 5. IR2 = 0.06777 A
  6. 6. IR2 = 0.3737 A

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