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​ = 2 Ω+−V1​24 VR2​5 ΩAR3​4 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 24 VR1 = 2 ΩR2 = 5 ΩR3 = 4 Ω
Req = Ω
2.Easy
R1​ = 3 ΩIR1​+−V1​24 VR2​3 ΩAR3​8 Ω

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

V1 = 24 VR1 = 3 ΩR2 = 3 ΩR3 = 8 Ω
IR1 = A
3.Medium
R1​ = 10 ΩR3​ = 2 Ω+−V1​30 VR2​8 ΩIR2​AR4​5 ΩB

Find the current IR2 through R2.

V1 = 30 VR1 = 10 ΩR2 = 8 ΩR3 = 2 ΩR4 = 5 Ω
IR2 = A
4.Medium
R1​ = 4 ΩR3​ = 4 Ω+−V1​30 VR2​15 ΩIR2​AR4​15 ΩB

Find the current IR2 through R2.

V1 = 30 VR1 = 4 ΩR2 = 15 ΩR3 = 4 ΩR4 = 15 Ω
IR2 = A
5.Hard
R1​ = 10 ΩIR1​R3​ = 12 ΩR5​ = 8 Ω+−V1​9 VR2​6 ΩAR4​10 ΩBR6​30 Ω

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

V1 = 9 VR1 = 10 ΩR2 = 6 ΩR3 = 12 ΩR4 = 10 ΩR5 = 8 ΩR6 = 30 Ω
IR1 = A
6.Hard
R1​ = 8 ΩR3​ = 5 ΩR5​ = 6 Ω+−V1​10 VR2​8 ΩAR4​30 ΩBR6​30 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 10 VR1 = 8 ΩR2 = 8 ΩR3 = 5 ΩR4 = 30 ΩR5 = 6 ΩR6 = 30 Ω
Req = Ω

Answer key

  1. 1. Req = 4.222 Ω
  2. 2. IR1 = 4.632 A
  3. 3. IR2 = 1.019 A
  4. 4. IR2 = 1.354 A
  5. 5. IR1 = 0.616 A
  6. 6. Req = 13.82 Ω

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