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​ = 4 Ω+−V1​18 VR2​10 ΩAR3​8 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 18 VR1 = 4 ΩR2 = 10 ΩR3 = 8 Ω
Req = Ω
2.Easy
R1​ = 10 ΩIR1​+−V1​8 VR2​3 ΩAR3​10 Ω

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

V1 = 8 VR1 = 10 ΩR2 = 3 ΩR3 = 10 Ω
IR1 = A
3.Medium
R1​ = 2 ΩR3​ = 3 Ω+−V1​24 VR2​2 ΩIR2​AR4​4 ΩB

Find the current IR2 through R2.

V1 = 24 VR1 = 2 ΩR2 = 2 ΩR3 = 3 ΩR4 = 4 Ω
IR2 = A
4.Medium
R1​ = 10 ΩR3​ = 8 Ω+−V1​6 VR2​3 ΩIR2​AR4​5 ΩB

Find the current IR2 through R2.

V1 = 6 VR1 = 10 ΩR2 = 3 ΩR3 = 8 ΩR4 = 5 Ω
IR2 = A
5.Hard
R1​ = 20 ΩIR1​R3​ = 4 ΩR5​ = 30 Ω+−V1​15 VR2​30 ΩAR4​5 ΩBR6​2 Ω

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

V1 = 15 VR1 = 20 ΩR2 = 30 ΩR3 = 4 ΩR4 = 5 ΩR5 = 30 ΩR6 = 2 Ω
IR1 = A
6.Hard
R1​ = 12 ΩR3​ = 30 ΩR5​ = 10 Ω+−V1​5 VR2​2 ΩAR4​6 ΩBR6​20 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 5 VR1 = 12 ΩR2 = 2 ΩR3 = 30 ΩR4 = 6 ΩR5 = 10 ΩR6 = 20 Ω
Req = Ω

Answer key

  1. 1. Req = 8.444 Ω
  2. 2. IR1 = 0.65 A
  3. 3. IR2 = 5.25 A
  4. 4. IR2 = 0.392 A
  5. 5. IR1 = 0.5657 A
  6. 6. Req = 13.89 Ω

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