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 Ω+−V1​10 VR2​3 ΩIR2​AR3​8 Ω

Find the current IR2 through R2.

V1 = 10 VR1 = 3 ΩR2 = 3 ΩR3 = 8 Ω
IR2 = A
2.Easy
R1​ = 12 Ω+−V1​6 VR2​3 ΩAR3​4 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 6 VR1 = 12 ΩR2 = 3 ΩR3 = 4 Ω
Req = Ω
3.Medium
R1​ = 6 ΩIR1​R3​ = 8 Ω+−V1​9 VR2​5 ΩAR4​2 ΩB

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

V1 = 9 VR1 = 6 ΩR2 = 5 ΩR3 = 8 ΩR4 = 2 Ω
IR1 = A
4.Medium
R1​ = 5 ΩIR1​R3​ = 3 Ω+−V1​9 VR2​5 ΩAR4​3 ΩB

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

V1 = 9 VR1 = 5 ΩR2 = 5 ΩR3 = 3 ΩR4 = 3 Ω
IR1 = A
5.Hard
R1​ = 25 ΩIR1​R3​ = 15 ΩR5​ = 12 Ω+−V1​15 VR2​15 ΩAR4​4 ΩBR6​10 Ω

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

V1 = 15 VR1 = 25 ΩR2 = 15 ΩR3 = 15 ΩR4 = 4 ΩR5 = 12 ΩR6 = 10 Ω
IR1 = A
6.Hard
R1​ = 20 ΩR3​ = 6 ΩR5​ = 20 Ω+−V1​6 VR2​5 ΩIR2​AR4​6 ΩBR6​20 Ω

Find the current IR2 through R2.

V1 = 6 VR1 = 20 ΩR2 = 5 ΩR3 = 6 ΩR4 = 6 ΩR5 = 20 ΩR6 = 20 Ω
IR2 = A

Answer key

  1. 1. IR2 = 1.404 A
  2. 2. Req = 13.71 Ω
  3. 3. IR1 = 0.9643 A
  4. 4. IR1 = 1.165 A
  5. 5. IR1 = 0.451 A
  6. 6. IR2 = 0.1769 A

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