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​ = 12 Ω+−V1​6 VR2​12 ΩIR2​AR3​2 Ω

Find the current IR2 through R2.

V1 = 6 VR1 = 12 ΩR2 = 12 ΩR3 = 2 Ω
IR2 = A
2.Easy
R1​ = 4 Ω+−V1​6 VR2​5 ΩAR3​10 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 6 VR1 = 4 ΩR2 = 5 ΩR3 = 10 Ω
Req = Ω
3.Medium
R1​ = 5 ΩIR1​R3​ = 2 Ω+−V1​10 VR2​3 ΩAR4​3 ΩB

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

V1 = 10 VR1 = 5 ΩR2 = 3 ΩR3 = 2 ΩR4 = 3 Ω
IR1 = A
4.Medium
R1​ = 5 ΩIR1​R3​ = 3 Ω+−V1​9 VR2​10 ΩAR4​6 ΩB

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

V1 = 9 VR1 = 5 ΩR2 = 10 ΩR3 = 3 ΩR4 = 6 Ω
IR1 = A
5.Hard
R1​ = 20 ΩR3​ = 5 ΩR5​ = 15 Ω+−V1​30 VR2​2 ΩAR4​30 ΩBR6​8 Ω

Find the equivalent resistance Req seen by the source V1.

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

Find the current IR2 through R2.

V1 = 6 VR1 = 15 ΩR2 = 4 ΩR3 = 4 ΩR4 = 10 ΩR5 = 2 ΩR6 = 12 Ω
IR2 = A

Answer key

  1. 1. IR2 = 0.0625 A
  2. 2. Req = 7.333 Ω
  3. 3. IR1 = 1.455 A
  4. 4. IR1 = 0.9243 A
  5. 5. Req = 21.8 Ω
  6. 6. IR2 = 0.239 A

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