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​ = 2 ΩIR1​+−V1​18 VR2​10 ΩAR3​2 Ω

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

V1 = 18 VR1 = 2 ΩR2 = 10 ΩR3 = 2 Ω
IR1 = A
2.Easy
R1​ = 12 Ω+−V1​6 VR2​6 ΩAR3​2 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 6 VR1 = 12 ΩR2 = 6 ΩR3 = 2 Ω
Req = Ω
3.Medium
R1​ = 8 ΩR3​ = 8 Ω+−V1​12 VR2​2 ΩIR2​AR4​5 ΩB

Find the current IR2 through R2.

V1 = 12 VR1 = 8 ΩR2 = 2 ΩR3 = 8 ΩR4 = 5 Ω
IR2 = A
4.Medium
R1​ = 20 ΩIR1​R3​ = 2 Ω+−V1​12 VR2​8 ΩAR4​20 ΩB

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

V1 = 12 VR1 = 20 ΩR2 = 8 ΩR3 = 2 ΩR4 = 20 Ω
IR1 = A
5.Hard
R1​ = 6 ΩR3​ = 12 ΩR5​ = 4 Ω+−V1​9 VR2​12 ΩIR2​AR4​25 ΩBR6​6 Ω

Find the current IR2 through R2.

V1 = 9 VR1 = 6 ΩR2 = 12 ΩR3 = 12 ΩR4 = 25 ΩR5 = 4 ΩR6 = 6 Ω
IR2 = A
6.Hard
R1​ = 8 ΩR3​ = 6 ΩR5​ = 5 Ω+−V1​6 VR2​25 ΩAR4​6 ΩBR6​4 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 6 VR1 = 8 ΩR2 = 25 ΩR3 = 6 ΩR4 = 6 ΩR5 = 5 ΩR6 = 4 Ω
Req = Ω

Answer key

  1. 1. IR1 = 4.909 A
  2. 2. Req = 13.5 Ω
  3. 3. IR2 = 1.068 A
  4. 4. IR1 = 0.4639 A
  5. 5. IR2 = 0.4136 A
  6. 6. Req = 14.94 Ω

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