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​ = 12 Ω+−V1​10 VR2​12 ΩAR3​5 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 10 VR1 = 12 ΩR2 = 12 ΩR3 = 5 Ω
Req = Ω
2.Easy
R1​ = 4 ΩIR1​+−V1​12 VR2​3 ΩAR3​10 Ω

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

V1 = 12 VR1 = 4 ΩR2 = 3 ΩR3 = 10 Ω
IR1 = A
3.Medium
R1​ = 5 ΩR3​ = 4 Ω+−V1​24 VR2​12 ΩIR2​AR4​3 ΩB

Find the current IR2 through R2.

V1 = 24 VR1 = 5 ΩR2 = 12 ΩR3 = 4 ΩR4 = 3 Ω
IR2 = A
4.Medium
R1​ = 5 ΩR3​ = 3 Ω+−V1​9 VR2​6 ΩAR4​10 ΩB

Find the equivalent resistance Req seen by the source V1.

V1 = 9 VR1 = 5 ΩR2 = 6 ΩR3 = 3 ΩR4 = 10 Ω
Req = Ω
5.Hard
R1​ = 12 ΩR3​ = 25 ΩR5​ = 5 Ω+−V1​5 VR2​12 ΩAR4​8 ΩBR6​8 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 5 VR1 = 12 ΩR2 = 12 ΩR3 = 25 ΩR4 = 8 ΩR5 = 5 ΩR6 = 8 Ω
Req = Ω
6.Hard
R1​ = 5 ΩIR1​R3​ = 12 ΩR5​ = 2 Ω+−V1​12 VR2​3 ΩAR4​12 ΩBR6​12 Ω

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

V1 = 12 VR1 = 5 ΩR2 = 3 ΩR3 = 12 ΩR4 = 12 ΩR5 = 2 ΩR6 = 12 Ω
IR1 = A

Answer key

  1. 1. Req = 15.53 Ω
  2. 2. IR1 = 1.902 A
  3. 3. IR2 = 0.9385 A
  4. 4. Req = 9.105 Ω
  5. 5. Req = 20.57 Ω
  6. 6. IR1 = 1.583 A

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