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​6 VR2​6 ΩAR3​4 Ω

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

V1 = 6 VR1 = 6 ΩR2 = 6 ΩR3 = 4 Ω
IR1 = A
2.Easy
R1​ = 4 Ω+−V1​12 VR2​2 ΩAR3​6 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 12 VR1 = 4 ΩR2 = 2 ΩR3 = 6 Ω
Req = Ω
3.Medium
R1​ = 10 ΩR3​ = 20 Ω+−V1​30 VR2​12 ΩIR2​AR4​20 ΩB

Find the current IR2 through R2.

V1 = 30 VR1 = 10 ΩR2 = 12 ΩR3 = 20 ΩR4 = 20 Ω
IR2 = A
4.Medium
R1​ = 3 ΩR3​ = 10 Ω+−V1​6 VR2​10 ΩIR2​AR4​6 ΩB

Find the current IR2 through R2.

V1 = 6 VR1 = 3 ΩR2 = 10 ΩR3 = 10 ΩR4 = 6 Ω
IR2 = A
5.Hard
R1​ = 5 ΩR3​ = 12 ΩR5​ = 15 Ω+−V1​30 VR2​30 ΩAR4​2 ΩBR6​20 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 30 VR1 = 5 ΩR2 = 30 ΩR3 = 12 ΩR4 = 2 ΩR5 = 15 ΩR6 = 20 Ω
Req = Ω
6.Hard
R1​ = 20 ΩIR1​R3​ = 3 ΩR5​ = 2 Ω+−V1​9 VR2​15 ΩAR4​12 ΩBR6​5 Ω

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

V1 = 9 VR1 = 20 ΩR2 = 15 ΩR3 = 3 ΩR4 = 12 ΩR5 = 2 ΩR6 = 5 Ω
IR1 = A

Answer key

  1. 1. IR1 = 0.7143 A
  2. 2. Req = 5.5 Ω
  3. 3. IR2 = 1.2 A
  4. 4. IR2 = 0.4034 A
  5. 5. Req = 14.5 Ω
  6. 6. IR1 = 0.3605 A

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