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​ = 6 Ω+−V1​18 VR2​4 ΩAR3​10 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 18 VR1 = 6 ΩR2 = 4 ΩR3 = 10 Ω
Req = Ω
2.Easy
R1​ = 12 ΩIR1​+−V1​15 VR2​2 ΩAR3​5 Ω

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

V1 = 15 VR1 = 12 ΩR2 = 2 ΩR3 = 5 Ω
IR1 = A
3.Medium
R1​ = 12 ΩR3​ = 6 Ω+−V1​9 VR2​10 ΩIR2​AR4​20 ΩB

Find the current IR2 through R2.

V1 = 9 VR1 = 12 ΩR2 = 10 ΩR3 = 6 ΩR4 = 20 Ω
IR2 = A
4.Medium
R1​ = 2 ΩR3​ = 4 Ω+−V1​24 VR2​3 ΩAR4​4 ΩB

Find the equivalent resistance Req seen by the source V1.

V1 = 24 VR1 = 2 ΩR2 = 3 ΩR3 = 4 ΩR4 = 4 Ω
Req = Ω
5.Hard
R1​ = 5 ΩR3​ = 15 ΩR5​ = 5 Ω+−V1​12 VR2​12 ΩAR4​20 ΩBR6​12 Ω

Find the equivalent resistance Req seen by the source V1.

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

Find the equivalent resistance Req seen by the source V1.

V1 = 12 VR1 = 4 ΩR2 = 2 ΩR3 = 30 ΩR4 = 4 ΩR5 = 30 ΩR6 = 5 Ω
Req = Ω

Answer key

  1. 1. Req = 8.857 Ω
  2. 2. IR1 = 1.117 A
  3. 3. IR2 = 0.3382 A
  4. 4. Req = 4.182 Ω
  5. 5. Req = 13.02 Ω
  6. 6. Req = 5.888 Ω

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