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​ = 2 Ω+−V1​6 VR2​5 ΩAR3​3 Ω

Find the equivalent resistance Req seen by the source V1.

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

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

V1 = 10 VR1 = 5 ΩR2 = 3 ΩR3 = 2 Ω
IR1 = A
3.Medium
R1​ = 4 ΩR3​ = 8 Ω+−V1​9 VR2​5 ΩIR2​AR4​15 ΩB

Find the current IR2 through R2.

V1 = 9 VR1 = 4 ΩR2 = 5 ΩR3 = 8 ΩR4 = 15 Ω
IR2 = A
4.Medium
R1​ = 10 ΩIR1​R3​ = 10 Ω+−V1​12 VR2​15 ΩAR4​15 ΩB

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

V1 = 12 VR1 = 10 ΩR2 = 15 ΩR3 = 10 ΩR4 = 15 Ω
IR1 = A
5.Hard
R1​ = 8 ΩR3​ = 6 ΩR5​ = 5 Ω+−V1​18 VR2​8 ΩAR4​3 ΩBR6​2 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 18 VR1 = 8 ΩR2 = 8 ΩR3 = 6 ΩR4 = 3 ΩR5 = 5 ΩR6 = 2 Ω
Req = Ω
6.Hard
R1​ = 30 ΩIR1​R3​ = 10 ΩR5​ = 3 Ω+−V1​15 VR2​5 ΩAR4​12 ΩBR6​30 Ω

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

V1 = 15 VR1 = 30 ΩR2 = 5 ΩR3 = 10 ΩR4 = 12 ΩR5 = 3 ΩR6 = 30 Ω
IR1 = A

Answer key

  1. 1. Req = 3.875 Ω
  2. 2. IR1 = 1.613 A
  3. 3. IR2 = 0.9119 A
  4. 4. IR1 = 0.6194 A
  5. 5. Req = 12.02 Ω
  6. 6. IR1 = 0.4418 A

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