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​20 VR2​12 ΩAR3​8 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 20 VR1 = 12 ΩR2 = 12 ΩR3 = 8 Ω
Req = Ω
2.Easy
R1​ = 12 Ω+−V1​6 VR2​2 ΩIR2​AR3​6 Ω

Find the current IR2 through R2.

V1 = 6 VR1 = 12 ΩR2 = 2 ΩR3 = 6 Ω
IR2 = A
3.Medium
R1​ = 12 ΩIR1​R3​ = 3 Ω+−V1​9 VR2​10 ΩAR4​10 ΩB

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

V1 = 9 VR1 = 12 ΩR2 = 10 ΩR3 = 3 ΩR4 = 10 Ω
IR1 = A
4.Medium
R1​ = 5 ΩIR1​R3​ = 5 Ω+−V1​15 VR2​8 ΩAR4​3 ΩB

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

V1 = 15 VR1 = 5 ΩR2 = 8 ΩR3 = 5 ΩR4 = 3 Ω
IR1 = A
5.Hard
R1​ = 12 ΩIR1​R3​ = 5 ΩR5​ = 30 Ω+−V1​5 VR2​8 ΩAR4​10 ΩBR6​8 Ω

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

V1 = 5 VR1 = 12 ΩR2 = 8 ΩR3 = 5 ΩR4 = 10 ΩR5 = 30 ΩR6 = 8 Ω
IR1 = A
6.Hard
R1​ = 12 ΩR3​ = 6 ΩR5​ = 3 Ω+−V1​6 VR2​6 ΩAR4​25 ΩBR6​5 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 6 VR1 = 12 ΩR2 = 6 ΩR3 = 6 ΩR4 = 25 ΩR5 = 3 ΩR6 = 5 Ω
Req = Ω

Answer key

  1. 1. Req = 16.8 Ω
  2. 2. IR2 = 0.3333 A
  3. 3. IR1 = 0.5099 A
  4. 4. IR1 = 1.667 A
  5. 5. IR1 = 0.2952 A
  6. 6. Req = 16.01 Ω

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