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​8 VR2​2 ΩIR2​AR3​12 Ω

Find the current IR2 through R2.

V1 = 8 VR1 = 3 ΩR2 = 2 ΩR3 = 12 Ω
IR2 = A
2.Easy
R1​ = 8 Ω+−V1​20 VR2​2 ΩAR3​10 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 20 VR1 = 8 ΩR2 = 2 ΩR3 = 10 Ω
Req = Ω
3.Medium
R1​ = 10 ΩIR1​R3​ = 20 Ω+−V1​12 VR2​8 ΩAR4​12 ΩB

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

V1 = 12 VR1 = 10 ΩR2 = 8 ΩR3 = 20 ΩR4 = 12 Ω
IR1 = A
4.Medium
R1​ = 12 ΩIR1​R3​ = 8 Ω+−V1​18 VR2​15 ΩAR4​10 ΩB

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

V1 = 18 VR1 = 12 ΩR2 = 15 ΩR3 = 8 ΩR4 = 10 Ω
IR1 = A
5.Hard
R1​ = 4 ΩR3​ = 3 ΩR5​ = 30 Ω+−V1​6 VR2​4 ΩAR4​25 ΩBR6​8 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 6 VR1 = 4 ΩR2 = 4 ΩR3 = 3 ΩR4 = 25 ΩR5 = 30 ΩR6 = 8 Ω
Req = Ω
6.Hard
R1​ = 25 ΩR3​ = 4 ΩR5​ = 8 Ω+−V1​6 VR2​6 ΩAR4​5 ΩBR6​30 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 6 VR1 = 25 ΩR2 = 6 ΩR3 = 4 ΩR4 = 5 ΩR5 = 8 ΩR6 = 30 Ω
Req = Ω

Answer key

  1. 1. IR2 = 1.455 A
  2. 2. Req = 9.667 Ω
  3. 3. IR1 = 0.7317 A
  4. 4. IR1 = 0.8919 A
  5. 5. Req = 7.275 Ω
  6. 6. Req = 28.5 Ω

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