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​6 VR2​10 ΩIR2​AR3​3 Ω

Find the current IR2 through R2.

V1 = 6 VR1 = 10 ΩR2 = 10 ΩR3 = 3 Ω
IR2 = A
2.Easy
R1​ = 12 ΩIR1​+−V1​6 VR2​5 ΩAR3​12 Ω

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

V1 = 6 VR1 = 12 ΩR2 = 5 ΩR3 = 12 Ω
IR1 = A
3.Medium
R1​ = 3 ΩR3​ = 12 Ω+−V1​6 VR2​10 ΩAR4​15 ΩB

Find the equivalent resistance Req seen by the source V1.

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

Find the equivalent resistance Req seen by the source V1.

V1 = 15 VR1 = 8 ΩR2 = 5 ΩR3 = 4 ΩR4 = 10 Ω
Req = Ω
5.Hard
R1​ = 15 ΩR3​ = 6 ΩR5​ = 25 Ω+−V1​12 VR2​6 ΩIR2​AR4​8 ΩBR6​10 Ω

Find the current IR2 through R2.

V1 = 12 VR1 = 15 ΩR2 = 6 ΩR3 = 6 ΩR4 = 8 ΩR5 = 25 ΩR6 = 10 Ω
IR2 = A
6.Hard
R1​ = 4 ΩR3​ = 20 ΩR5​ = 30 Ω+−V1​18 VR2​15 ΩIR2​AR4​4 ΩBR6​8 Ω

Find the current IR2 through R2.

V1 = 18 VR1 = 4 ΩR2 = 15 ΩR3 = 20 ΩR4 = 4 ΩR5 = 30 ΩR6 = 8 Ω
IR2 = A

Answer key

  1. 1. IR2 = 0.1125 A
  2. 2. IR1 = 0.3864 A
  3. 3. Req = 10.3 Ω
  4. 4. Req = 11.68 Ω
  5. 5. IR2 = 0.4256 A
  6. 6. IR2 = 0.8356 A

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