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​ = 3 ΩIR1​+−V1​12 VR2​6 ΩAR3​4 Ω

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

V1 = 12 VR1 = 3 ΩR2 = 6 ΩR3 = 4 Ω
IR1 = A
2.Easy
R1​ = 6 Ω+−V1​20 VR2​6 ΩAR3​8 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 20 VR1 = 6 ΩR2 = 6 ΩR3 = 8 Ω
Req = Ω
3.Medium
R1​ = 15 ΩR3​ = 3 Ω+−V1​9 VR2​12 ΩIR2​AR4​6 ΩB

Find the current IR2 through R2.

V1 = 9 VR1 = 15 ΩR2 = 12 ΩR3 = 3 ΩR4 = 6 Ω
IR2 = A
4.Medium
R1​ = 5 ΩR3​ = 10 Ω+−V1​6 VR2​12 ΩAR4​8 ΩB

Find the equivalent resistance Req seen by the source V1.

V1 = 6 VR1 = 5 ΩR2 = 12 ΩR3 = 10 ΩR4 = 8 Ω
Req = Ω
5.Hard
R1​ = 4 ΩIR1​R3​ = 15 ΩR5​ = 30 Ω+−V1​30 VR2​15 ΩAR4​4 ΩBR6​20 Ω

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

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

Find the equivalent resistance Req seen by the source V1.

V1 = 30 VR1 = 20 ΩR2 = 20 ΩR3 = 15 ΩR4 = 15 ΩR5 = 4 ΩR6 = 5 Ω
Req = Ω

Answer key

  1. 1. IR1 = 2.222 A
  2. 2. Req = 9.429 Ω
  3. 3. IR2 = 0.1915 A
  4. 4. Req = 12.2 Ω
  5. 5. IR1 = 2.434 A
  6. 6. Req = 30.15 Ω

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