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​8 ΩAR3​8 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 20 VR1 = 10 ΩR2 = 8 ΩR3 = 8 Ω
Req = Ω
2.Easy
R1​ = 5 ΩIR1​+−V1​6 VR2​8 ΩAR3​4 Ω

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

V1 = 6 VR1 = 5 ΩR2 = 8 ΩR3 = 4 Ω
IR1 = A
3.Medium
R1​ = 12 ΩR3​ = 4 Ω+−V1​30 VR2​5 ΩIR2​AR4​3 ΩB

Find the current IR2 through R2.

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

Find the current IR2 through R2.

V1 = 12 VR1 = 5 ΩR2 = 4 ΩR3 = 6 ΩR4 = 4 Ω
IR2 = A
5.Hard
R1​ = 15 ΩR3​ = 5 ΩR5​ = 30 Ω+−V1​6 VR2​10 ΩAR4​15 ΩBR6​20 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 6 VR1 = 15 ΩR2 = 10 ΩR3 = 5 ΩR4 = 15 ΩR5 = 30 ΩR6 = 20 Ω
Req = Ω
6.Hard
R1​ = 2 ΩR3​ = 6 ΩR5​ = 3 Ω+−V1​24 VR2​20 ΩIR2​AR4​3 ΩBR6​25 Ω

Find the current IR2 through R2.

V1 = 24 VR1 = 2 ΩR2 = 20 ΩR3 = 6 ΩR4 = 3 ΩR5 = 3 ΩR6 = 25 Ω
IR2 = A

Answer key

  1. 1. Req = 14 Ω
  2. 2. IR1 = 0.7826 A
  3. 3. IR2 = 1.173 A
  4. 4. IR2 = 1.091 A
  5. 5. Req = 21.23 Ω
  6. 6. IR2 = 0.9025 A

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