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​3 ΩAR3​8 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 20 VR1 = 10 ΩR2 = 3 ΩR3 = 8 Ω
Req = Ω
2.Easy
R1​ = 4 ΩIR1​+−V1​12 VR2​3 ΩAR3​3 Ω

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

V1 = 12 VR1 = 4 ΩR2 = 3 ΩR3 = 3 Ω
IR1 = A
3.Medium
R1​ = 6 ΩR3​ = 8 Ω+−V1​9 VR2​2 ΩIR2​AR4​12 ΩB

Find the current IR2 through R2.

V1 = 9 VR1 = 6 ΩR2 = 2 ΩR3 = 8 ΩR4 = 12 Ω
IR2 = A
4.Medium
R1​ = 6 ΩR3​ = 8 Ω+−V1​10 VR2​3 ΩAR4​20 ΩB

Find the equivalent resistance Req seen by the source V1.

V1 = 10 VR1 = 6 ΩR2 = 3 ΩR3 = 8 ΩR4 = 20 Ω
Req = Ω
5.Hard
R1​ = 10 ΩIR1​R3​ = 30 ΩR5​ = 10 Ω+−V1​12 VR2​6 ΩAR4​15 ΩBR6​2 Ω

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

V1 = 12 VR1 = 10 ΩR2 = 6 ΩR3 = 30 ΩR4 = 15 ΩR5 = 10 ΩR6 = 2 Ω
IR1 = A
6.Hard
R1​ = 30 ΩR3​ = 8 ΩR5​ = 5 Ω+−V1​36 VR2​12 ΩAR4​15 ΩBR6​2 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 36 VR1 = 30 ΩR2 = 12 ΩR3 = 8 ΩR4 = 15 ΩR5 = 5 ΩR6 = 2 Ω
Req = Ω

Answer key

  1. 1. Req = 12.18 Ω
  2. 2. IR1 = 2.182 A
  3. 3. IR2 = 1.047 A
  4. 4. Req = 8.71 Ω
  5. 5. IR1 = 0.7918 A
  6. 6. Req = 36.19 Ω

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