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​20 VR2​2 ΩIR2​AR3​12 Ω

Find the current IR2 through R2.

V1 = 20 VR1 = 3 ΩR2 = 2 ΩR3 = 12 Ω
IR2 = A
2.Easy
R1​ = 5 ΩIR1​+−V1​12 VR2​5 ΩAR3​4 Ω

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

V1 = 12 VR1 = 5 ΩR2 = 5 ΩR3 = 4 Ω
IR1 = A
3.Medium
R1​ = 6 ΩR3​ = 5 Ω+−V1​18 VR2​15 ΩAR4​20 ΩB

Find the equivalent resistance Req seen by the source V1.

V1 = 18 VR1 = 6 ΩR2 = 15 ΩR3 = 5 ΩR4 = 20 Ω
Req = Ω
4.Medium
R1​ = 2 ΩR3​ = 12 Ω+−V1​10 VR2​10 ΩIR2​AR4​6 ΩB

Find the current IR2 through R2.

V1 = 10 VR1 = 2 ΩR2 = 10 ΩR3 = 12 ΩR4 = 6 Ω
IR2 = A
5.Hard
R1​ = 15 ΩIR1​R3​ = 25 ΩR5​ = 20 Ω+−V1​15 VR2​15 ΩAR4​2 ΩBR6​30 Ω

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

V1 = 15 VR1 = 15 ΩR2 = 15 ΩR3 = 25 ΩR4 = 2 ΩR5 = 20 ΩR6 = 30 Ω
IR1 = A
6.Hard
R1​ = 12 ΩIR1​R3​ = 2 ΩR5​ = 30 Ω+−V1​5 VR2​20 ΩAR4​8 ΩBR6​8 Ω

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

V1 = 5 VR1 = 12 ΩR2 = 20 ΩR3 = 2 ΩR4 = 8 ΩR5 = 30 ΩR6 = 8 Ω
IR1 = A

Answer key

  1. 1. IR2 = 3.636 A
  2. 2. IR1 = 1.662 A
  3. 3. Req = 15.38 Ω
  4. 4. IR2 = 0.7627 A
  5. 5. IR1 = 0.6089 A
  6. 6. IR1 = 0.2775 A

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