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​8 VR2​6 ΩAR3​3 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 8 VR1 = 10 ΩR2 = 6 ΩR3 = 3 Ω
Req = Ω
2.Easy
R1​ = 5 ΩIR1​+−V1​8 VR2​5 ΩAR3​2 Ω

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

V1 = 8 VR1 = 5 ΩR2 = 5 ΩR3 = 2 Ω
IR1 = A
3.Medium
R1​ = 4 ΩR3​ = 10 Ω+−V1​30 VR2​3 ΩIR2​AR4​5 ΩB

Find the current IR2 through R2.

V1 = 30 VR1 = 4 ΩR2 = 3 ΩR3 = 10 ΩR4 = 5 Ω
IR2 = A
4.Medium
R1​ = 3 ΩR3​ = 12 Ω+−V1​6 VR2​20 ΩIR2​AR4​5 ΩB

Find the current IR2 through R2.

V1 = 6 VR1 = 3 ΩR2 = 20 ΩR3 = 12 ΩR4 = 5 Ω
IR2 = A
5.Hard
R1​ = 5 ΩR3​ = 5 ΩR5​ = 10 Ω+−V1​18 VR2​25 ΩAR4​10 ΩBR6​15 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 18 VR1 = 5 ΩR2 = 25 ΩR3 = 5 ΩR4 = 10 ΩR5 = 10 ΩR6 = 15 Ω
Req = Ω
6.Hard
R1​ = 12 ΩR3​ = 4 ΩR5​ = 25 Ω+−V1​18 VR2​6 ΩAR4​20 ΩBR6​8 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 18 VR1 = 12 ΩR2 = 6 ΩR3 = 4 ΩR4 = 20 ΩR5 = 25 ΩR6 = 8 Ω
Req = Ω

Answer key

  1. 1. Req = 12 Ω
  2. 2. IR1 = 1.244 A
  3. 3. IR2 = 3.846 A
  4. 4. IR2 = 0.2262 A
  5. 5. Req = 13.17 Ω
  6. 6. Req = 16.4 Ω

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