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​12 VR2​10 ΩAR3​2 Ω

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

V1 = 12 VR1 = 2 ΩR2 = 10 ΩR3 = 2 Ω
IR1 = A
2.Easy
R1​ = 8 Ω+−V1​15 VR2​10 ΩAR3​10 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 15 VR1 = 8 ΩR2 = 10 ΩR3 = 10 Ω
Req = Ω
3.Medium
R1​ = 20 ΩR3​ = 10 Ω+−V1​30 VR2​12 ΩIR2​AR4​15 ΩB

Find the current IR2 through R2.

V1 = 30 VR1 = 20 ΩR2 = 12 ΩR3 = 10 ΩR4 = 15 Ω
IR2 = A
4.Medium
R1​ = 2 ΩR3​ = 2 Ω+−V1​24 VR2​8 ΩAR4​2 ΩB

Find the equivalent resistance Req seen by the source V1.

V1 = 24 VR1 = 2 ΩR2 = 8 ΩR3 = 2 ΩR4 = 2 Ω
Req = Ω
5.Hard
R1​ = 12 ΩR3​ = 30 ΩR5​ = 30 Ω+−V1​30 VR2​25 ΩAR4​30 ΩBR6​4 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 30 VR1 = 12 ΩR2 = 25 ΩR3 = 30 ΩR4 = 30 ΩR5 = 30 ΩR6 = 4 Ω
Req = Ω
6.Hard
R1​ = 20 ΩR3​ = 6 ΩR5​ = 2 Ω+−V1​36 VR2​20 ΩAR4​5 ΩBR6​12 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 36 VR1 = 20 ΩR2 = 20 ΩR3 = 6 ΩR4 = 5 ΩR5 = 2 ΩR6 = 12 Ω
Req = Ω

Answer key

  1. 1. IR1 = 3.273 A
  2. 2. Req = 13 Ω
  3. 3. IR2 = 0.7212 A
  4. 4. Req = 4.667 Ω
  5. 5. Req = 28.19 Ω
  6. 6. Req = 26.52 Ω

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