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​ = 5 ΩIR1​+−V1​24 VR2​5 ΩAR3​4 Ω

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

V1 = 24 VR1 = 5 ΩR2 = 5 ΩR3 = 4 Ω
IR1 = A
2.Easy
R1​ = 12 Ω+−V1​24 VR2​3 ΩAR3​6 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 24 VR1 = 12 ΩR2 = 3 ΩR3 = 6 Ω
Req = Ω
3.Medium
R1​ = 20 ΩR3​ = 5 Ω+−V1​18 VR2​2 ΩIR2​AR4​3 ΩB

Find the current IR2 through R2.

V1 = 18 VR1 = 20 ΩR2 = 2 ΩR3 = 5 ΩR4 = 3 Ω
IR2 = A
4.Medium
R1​ = 2 ΩR3​ = 5 Ω+−V1​10 VR2​3 ΩAR4​10 ΩB

Find the equivalent resistance Req seen by the source V1.

V1 = 10 VR1 = 2 ΩR2 = 3 ΩR3 = 5 ΩR4 = 10 Ω
Req = Ω
5.Hard
R1​ = 5 ΩIR1​R3​ = 2 ΩR5​ = 2 Ω+−V1​5 VR2​6 ΩAR4​6 ΩBR6​3 Ω

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

V1 = 5 VR1 = 5 ΩR2 = 6 ΩR3 = 2 ΩR4 = 6 ΩR5 = 2 ΩR6 = 3 Ω
IR1 = A
6.Hard
R1​ = 8 ΩIR1​R3​ = 15 ΩR5​ = 12 Ω+−V1​18 VR2​3 ΩAR4​8 ΩBR6​30 Ω

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

V1 = 18 VR1 = 8 ΩR2 = 3 ΩR3 = 15 ΩR4 = 8 ΩR5 = 12 ΩR6 = 30 Ω
IR1 = A

Answer key

  1. 1. IR1 = 3.323 A
  2. 2. Req = 14 Ω
  3. 3. IR2 = 0.6667 A
  4. 4. Req = 4.5 Ω
  5. 5. IR1 = 0.6541 A
  6. 6. IR1 = 1.692 A

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