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​4 ΩAR3​4 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 15 VR1 = 10 ΩR2 = 4 ΩR3 = 4 Ω
Req = Ω
2.Easy
R1​ = 2 Ω+−V1​24 VR2​10 ΩIR2​AR3​8 Ω

Find the current IR2 through R2.

V1 = 24 VR1 = 2 ΩR2 = 10 ΩR3 = 8 Ω
IR2 = A
3.Medium
R1​ = 6 ΩIR1​R3​ = 2 Ω+−V1​30 VR2​12 ΩAR4​5 ΩB

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

V1 = 30 VR1 = 6 ΩR2 = 12 ΩR3 = 2 ΩR4 = 5 Ω
IR1 = A
4.Medium
R1​ = 3 ΩR3​ = 4 Ω+−V1​15 VR2​3 ΩAR4​5 ΩB

Find the equivalent resistance Req seen by the source V1.

V1 = 15 VR1 = 3 ΩR2 = 3 ΩR3 = 4 ΩR4 = 5 Ω
Req = Ω
5.Hard
R1​ = 5 ΩR3​ = 2 ΩR5​ = 12 Ω+−V1​24 VR2​8 ΩAR4​2 ΩBR6​2 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 24 VR1 = 5 ΩR2 = 8 ΩR3 = 2 ΩR4 = 2 ΩR5 = 12 ΩR6 = 2 Ω
Req = Ω
6.Hard
R1​ = 30 ΩR3​ = 20 ΩR5​ = 25 Ω+−V1​5 VR2​6 ΩAR4​8 ΩBR6​5 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 5 VR1 = 30 ΩR2 = 6 ΩR3 = 20 ΩR4 = 8 ΩR5 = 25 ΩR6 = 5 Ω
Req = Ω

Answer key

  1. 1. Req = 12 Ω
  2. 2. IR2 = 1.655 A
  3. 3. IR1 = 2.879 A
  4. 4. Req = 5.25 Ω
  5. 5. Req = 7.553 Ω
  6. 6. Req = 34.89 Ω

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