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​15 VR2​6 ΩAR3​4 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 15 VR1 = 10 ΩR2 = 6 ΩR3 = 4 Ω
Req = Ω
2.Easy
R1​ = 8 Ω+−V1​20 VR2​2 ΩIR2​AR3​10 Ω

Find the current IR2 through R2.

V1 = 20 VR1 = 8 ΩR2 = 2 ΩR3 = 10 Ω
IR2 = A
3.Medium
R1​ = 10 ΩIR1​R3​ = 10 Ω+−V1​6 VR2​15 ΩAR4​4 ΩB

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

V1 = 6 VR1 = 10 ΩR2 = 15 ΩR3 = 10 ΩR4 = 4 Ω
IR1 = A
4.Medium
R1​ = 12 ΩIR1​R3​ = 20 Ω+−V1​15 VR2​2 ΩAR4​15 ΩB

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

V1 = 15 VR1 = 12 ΩR2 = 2 ΩR3 = 20 ΩR4 = 15 Ω
IR1 = A
5.Hard
R1​ = 30 ΩR3​ = 3 ΩR5​ = 5 Ω+−V1​24 VR2​4 ΩIR2​AR4​3 ΩBR6​12 Ω

Find the current IR2 through R2.

V1 = 24 VR1 = 30 ΩR2 = 4 ΩR3 = 3 ΩR4 = 3 ΩR5 = 5 ΩR6 = 12 Ω
IR2 = A
6.Hard
R1​ = 30 ΩR3​ = 2 ΩR5​ = 15 Ω+−V1​5 VR2​20 ΩIR2​AR4​10 ΩBR6​8 Ω

Find the current IR2 through R2.

V1 = 5 VR1 = 30 ΩR2 = 20 ΩR3 = 2 ΩR4 = 10 ΩR5 = 15 ΩR6 = 8 Ω
IR2 = A

Answer key

  1. 1. Req = 12.4 Ω
  2. 2. IR2 = 1.724 A
  3. 3. IR1 = 0.348 A
  4. 4. IR1 = 1.08 A
  5. 5. IR2 = 0.4315 A
  6. 6. IR2 = 0.04277 A

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