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​24 VR2​2 ΩIR2​AR3​3 Ω

Find the current IR2 through R2.

V1 = 24 VR1 = 12 ΩR2 = 2 ΩR3 = 3 Ω
IR2 = A
2.Easy
R1​ = 3 Ω+−V1​20 VR2​6 ΩAR3​5 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 20 VR1 = 3 ΩR2 = 6 ΩR3 = 5 Ω
Req = Ω
3.Medium
R1​ = 6 ΩIR1​R3​ = 6 Ω+−V1​24 VR2​8 ΩAR4​15 ΩB

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

V1 = 24 VR1 = 6 ΩR2 = 8 ΩR3 = 6 ΩR4 = 15 Ω
IR1 = A
4.Medium
R1​ = 12 ΩR3​ = 15 Ω+−V1​30 VR2​8 ΩAR4​20 ΩB

Find the equivalent resistance Req seen by the source V1.

V1 = 30 VR1 = 12 ΩR2 = 8 ΩR3 = 15 ΩR4 = 20 Ω
Req = Ω
5.Hard
R1​ = 3 ΩR3​ = 3 ΩR5​ = 6 Ω+−V1​10 VR2​25 ΩIR2​AR4​10 ΩBR6​6 Ω

Find the current IR2 through R2.

V1 = 10 VR1 = 3 ΩR2 = 25 ΩR3 = 3 ΩR4 = 10 ΩR5 = 6 ΩR6 = 6 Ω
IR2 = A
6.Hard
R1​ = 20 ΩR3​ = 2 ΩR5​ = 2 Ω+−V1​9 VR2​2 ΩAR4​5 ΩBR6​30 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 9 VR1 = 20 ΩR2 = 2 ΩR3 = 2 ΩR4 = 5 ΩR5 = 2 ΩR6 = 30 Ω
Req = Ω

Answer key

  1. 1. IR2 = 1.091 A
  2. 2. Req = 5.727 Ω
  3. 3. IR1 = 2.035 A
  4. 4. Req = 18.51 Ω
  5. 5. IR2 = 0.2712 A
  6. 6. Req = 21.52 Ω

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