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​ = 10 Ω+−V1​20 VR2​5 ΩIR2​AR3​8 Ω

Find the current IR2 through R2.

V1 = 20 VR1 = 10 ΩR2 = 5 ΩR3 = 8 Ω
IR2 = A
2.Easy
R1​ = 3 Ω+−V1​15 VR2​12 ΩAR3​3 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 15 VR1 = 3 ΩR2 = 12 ΩR3 = 3 Ω
Req = Ω
3.Medium
R1​ = 20 ΩIR1​R3​ = 15 Ω+−V1​9 VR2​6 ΩAR4​12 ΩB

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

V1 = 9 VR1 = 20 ΩR2 = 6 ΩR3 = 15 ΩR4 = 12 Ω
IR1 = A
4.Medium
R1​ = 12 ΩIR1​R3​ = 4 Ω+−V1​24 VR2​6 ΩAR4​12 ΩB

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

V1 = 24 VR1 = 12 ΩR2 = 6 ΩR3 = 4 ΩR4 = 12 Ω
IR1 = A
5.Hard
R1​ = 20 ΩR3​ = 12 ΩR5​ = 2 Ω+−V1​30 VR2​4 ΩAR4​8 ΩBR6​15 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 30 VR1 = 20 ΩR2 = 4 ΩR3 = 12 ΩR4 = 8 ΩR5 = 2 ΩR6 = 15 Ω
Req = Ω
6.Hard
R1​ = 10 ΩR3​ = 8 ΩR5​ = 30 Ω+−V1​12 VR2​6 ΩAR4​4 ΩBR6​5 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 12 VR1 = 10 ΩR2 = 6 ΩR3 = 8 ΩR4 = 4 ΩR5 = 30 ΩR6 = 5 Ω
Req = Ω

Answer key

  1. 1. IR2 = 0.9412 A
  2. 2. Req = 5.4 Ω
  3. 3. IR1 = 0.3613 A
  4. 4. IR1 = 1.467 A
  5. 5. Req = 23.25 Ω
  6. 6. Req = 13.95 Ω

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