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​8 VR2​2 ΩAR3​12 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 8 VR1 = 12 ΩR2 = 2 ΩR3 = 12 Ω
Req = Ω
2.Easy
R1​ = 8 ΩIR1​+−V1​10 VR2​5 ΩAR3​2 Ω

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

V1 = 10 VR1 = 8 ΩR2 = 5 ΩR3 = 2 Ω
IR1 = A
3.Medium
R1​ = 4 ΩR3​ = 12 Ω+−V1​6 VR2​12 ΩIR2​AR4​4 ΩB

Find the current IR2 through R2.

V1 = 6 VR1 = 4 ΩR2 = 12 ΩR3 = 12 ΩR4 = 4 Ω
IR2 = A
4.Medium
R1​ = 6 ΩIR1​R3​ = 6 Ω+−V1​9 VR2​6 ΩAR4​20 ΩB

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

V1 = 9 VR1 = 6 ΩR2 = 6 ΩR3 = 6 ΩR4 = 20 Ω
IR1 = A
5.Hard
R1​ = 15 ΩR3​ = 30 ΩR5​ = 20 Ω+−V1​24 VR2​20 ΩAR4​8 ΩBR6​20 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 24 VR1 = 15 ΩR2 = 20 ΩR3 = 30 ΩR4 = 8 ΩR5 = 20 ΩR6 = 20 Ω
Req = Ω
6.Hard
R1​ = 20 ΩIR1​R3​ = 6 ΩR5​ = 20 Ω+−V1​12 VR2​2 ΩAR4​30 ΩBR6​8 Ω

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

V1 = 12 VR1 = 20 ΩR2 = 2 ΩR3 = 6 ΩR4 = 30 ΩR5 = 20 ΩR6 = 8 Ω
IR1 = A

Answer key

  1. 1. Req = 13.71 Ω
  2. 2. IR1 = 1.061 A
  3. 3. IR2 = 0.3158 A
  4. 4. IR1 = 0.8276 A
  5. 5. Req = 27.94 Ω
  6. 6. IR1 = 0.5499 A

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