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​ = 4 ΩIR1​+−V1​10 VR2​12 ΩAR3​12 Ω

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

V1 = 10 VR1 = 4 ΩR2 = 12 ΩR3 = 12 Ω
IR1 = A
2.Easy
R1​ = 12 Ω+−V1​10 VR2​6 ΩIR2​AR3​12 Ω

Find the current IR2 through R2.

V1 = 10 VR1 = 12 ΩR2 = 6 ΩR3 = 12 Ω
IR2 = A
3.Medium
R1​ = 3 ΩR3​ = 3 Ω+−V1​9 VR2​8 ΩAR4​6 ΩB

Find the equivalent resistance Req seen by the source V1.

V1 = 9 VR1 = 3 ΩR2 = 8 ΩR3 = 3 ΩR4 = 6 Ω
Req = Ω
4.Medium
R1​ = 15 ΩR3​ = 12 Ω+−V1​30 VR2​15 ΩAR4​5 ΩB

Find the equivalent resistance Req seen by the source V1.

V1 = 30 VR1 = 15 ΩR2 = 15 ΩR3 = 12 ΩR4 = 5 Ω
Req = Ω
5.Hard
R1​ = 6 ΩIR1​R3​ = 30 ΩR5​ = 15 Ω+−V1​12 VR2​8 ΩAR4​8 ΩBR6​20 Ω

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

V1 = 12 VR1 = 6 ΩR2 = 8 ΩR3 = 30 ΩR4 = 8 ΩR5 = 15 ΩR6 = 20 Ω
IR1 = A
6.Hard
R1​ = 6 ΩR3​ = 2 ΩR5​ = 30 Ω+−V1​10 VR2​10 ΩIR2​AR4​30 ΩBR6​6 Ω

Find the current IR2 through R2.

V1 = 10 VR1 = 6 ΩR2 = 10 ΩR3 = 2 ΩR4 = 30 ΩR5 = 30 ΩR6 = 6 Ω
IR2 = A

Answer key

  1. 1. IR1 = 1 A
  2. 2. IR2 = 0.4167 A
  3. 3. Req = 7.235 Ω
  4. 4. Req = 22.97 Ω
  5. 5. IR1 = 0.9552 A
  6. 6. IR2 = 0.519 A

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