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​ = 6 ΩIR1​+−V1​10 VR2​4 ΩAR3​10 Ω

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

V1 = 10 VR1 = 6 ΩR2 = 4 ΩR3 = 10 Ω
IR1 = A
2.Easy
R1​ = 4 Ω+−V1​24 VR2​8 ΩAR3​8 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 24 VR1 = 4 ΩR2 = 8 ΩR3 = 8 Ω
Req = Ω
3.Medium
R1​ = 3 ΩR3​ = 15 Ω+−V1​18 VR2​12 ΩIR2​AR4​12 ΩB

Find the current IR2 through R2.

V1 = 18 VR1 = 3 ΩR2 = 12 ΩR3 = 15 ΩR4 = 12 Ω
IR2 = A
4.Medium
R1​ = 3 ΩR3​ = 20 Ω+−V1​12 VR2​10 ΩAR4​6 ΩB

Find the equivalent resistance Req seen by the source V1.

V1 = 12 VR1 = 3 ΩR2 = 10 ΩR3 = 20 ΩR4 = 6 Ω
Req = Ω
5.Hard
R1​ = 30 ΩR3​ = 6 ΩR5​ = 30 Ω+−V1​12 VR2​25 ΩIR2​AR4​10 ΩBR6​15 Ω

Find the current IR2 through R2.

V1 = 12 VR1 = 30 ΩR2 = 25 ΩR3 = 6 ΩR4 = 10 ΩR5 = 30 ΩR6 = 15 Ω
IR2 = A
6.Hard
R1​ = 4 ΩR3​ = 2 ΩR5​ = 5 Ω+−V1​5 VR2​8 ΩIR2​AR4​20 ΩBR6​25 Ω

Find the current IR2 through R2.

V1 = 5 VR1 = 4 ΩR2 = 8 ΩR3 = 2 ΩR4 = 20 ΩR5 = 5 ΩR6 = 25 Ω
IR2 = A

Answer key

  1. 1. IR1 = 1.129 A
  2. 2. Req = 8 Ω
  3. 3. IR2 = 1.102 A
  4. 4. Req = 10.22 Ω
  5. 5. IR2 = 0.1112 A
  6. 6. IR2 = 0.35 A

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