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​8 ΩIR2​AR3​10 Ω

Find the current IR2 through R2.

V1 = 6 VR1 = 10 ΩR2 = 8 ΩR3 = 10 Ω
IR2 = A
2.Easy
R1​ = 10 ΩIR1​+−V1​15 VR2​2 ΩAR3​6 Ω

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

V1 = 15 VR1 = 10 ΩR2 = 2 ΩR3 = 6 Ω
IR1 = A
3.Medium
R1​ = 4 ΩR3​ = 10 Ω+−V1​6 VR2​3 ΩAR4​5 ΩB

Find the equivalent resistance Req seen by the source V1.

V1 = 6 VR1 = 4 ΩR2 = 3 ΩR3 = 10 ΩR4 = 5 Ω
Req = Ω
4.Medium
R1​ = 12 ΩR3​ = 20 Ω+−V1​24 VR2​15 ΩIR2​AR4​6 ΩB

Find the current IR2 through R2.

V1 = 24 VR1 = 12 ΩR2 = 15 ΩR3 = 20 ΩR4 = 6 Ω
IR2 = A
5.Hard
R1​ = 8 ΩR3​ = 5 ΩR5​ = 12 Ω+−V1​24 VR2​5 ΩAR4​20 ΩBR6​12 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 24 VR1 = 8 ΩR2 = 5 ΩR3 = 5 ΩR4 = 20 ΩR5 = 12 ΩR6 = 12 Ω
Req = Ω
6.Hard
R1​ = 8 ΩIR1​R3​ = 5 ΩR5​ = 4 Ω+−V1​12 VR2​25 ΩAR4​20 ΩBR6​3 Ω

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

V1 = 12 VR1 = 8 ΩR2 = 25 ΩR3 = 5 ΩR4 = 20 ΩR5 = 4 ΩR6 = 3 Ω
IR1 = A

Answer key

  1. 1. IR2 = 0.2308 A
  2. 2. IR1 = 1.304 A
  3. 3. Req = 6.5 Ω
  4. 4. IR2 = 0.7075 A
  5. 5. Req = 11.8 Ω
  6. 6. IR1 = 0.7876 A

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