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​24 VR2​8 ΩIR2​AR3​4 Ω

Find the current IR2 through R2.

V1 = 24 VR1 = 12 ΩR2 = 8 ΩR3 = 4 Ω
IR2 = A
2.Easy
R1​ = 2 Ω+−V1​10 VR2​4 ΩAR3​10 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 10 VR1 = 2 ΩR2 = 4 ΩR3 = 10 Ω
Req = Ω
3.Medium
R1​ = 2 ΩIR1​R3​ = 6 Ω+−V1​30 VR2​8 ΩAR4​2 ΩB

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

V1 = 30 VR1 = 2 ΩR2 = 8 ΩR3 = 6 ΩR4 = 2 Ω
IR1 = A
4.Medium
R1​ = 6 ΩR3​ = 6 Ω+−V1​6 VR2​15 ΩIR2​AR4​8 ΩB

Find the current IR2 through R2.

V1 = 6 VR1 = 6 ΩR2 = 15 ΩR3 = 6 ΩR4 = 8 Ω
IR2 = A
5.Hard
R1​ = 30 ΩR3​ = 8 ΩR5​ = 2 Ω+−V1​36 VR2​4 ΩIR2​AR4​2 ΩBR6​30 Ω

Find the current IR2 through R2.

V1 = 36 VR1 = 30 ΩR2 = 4 ΩR3 = 8 ΩR4 = 2 ΩR5 = 2 ΩR6 = 30 Ω
IR2 = A
6.Hard
R1​ = 25 ΩR3​ = 20 ΩR5​ = 30 Ω+−V1​10 VR2​12 ΩAR4​8 ΩBR6​3 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 10 VR1 = 25 ΩR2 = 12 ΩR3 = 20 ΩR4 = 8 ΩR5 = 30 ΩR6 = 3 Ω
Req = Ω

Answer key

  1. 1. IR2 = 0.5455 A
  2. 2. Req = 4.857 Ω
  3. 3. IR1 = 5 A
  4. 4. IR2 = 0.2188 A
  5. 5. IR2 = 0.7802 A
  6. 6. Req = 33.25 Ω

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