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​18 VR2​8 ΩAR3​10 Ω

Find the equivalent resistance Req seen by the source V1.

V1 = 18 VR1 = 12 ΩR2 = 8 ΩR3 = 10 Ω
Req = Ω
2.Easy
R1​ = 6 ΩIR1​+−V1​24 VR2​8 ΩAR3​3 Ω

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

V1 = 24 VR1 = 6 ΩR2 = 8 ΩR3 = 3 Ω
IR1 = A
3.Medium
R1​ = 12 ΩR3​ = 20 Ω+−V1​12 VR2​2 ΩIR2​AR4​20 ΩB

Find the current IR2 through R2.

V1 = 12 VR1 = 12 ΩR2 = 2 ΩR3 = 20 ΩR4 = 20 Ω
IR2 = A
4.Medium
R1​ = 5 ΩIR1​R3​ = 10 Ω+−V1​30 VR2​4 ΩAR4​5 ΩB

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

V1 = 30 VR1 = 5 ΩR2 = 4 ΩR3 = 10 ΩR4 = 5 Ω
IR1 = A
5.Hard
R1​ = 8 ΩR3​ = 8 ΩR5​ = 10 Ω+−V1​36 VR2​8 ΩIR2​AR4​15 ΩBR6​12 Ω

Find the current IR2 through R2.

V1 = 36 VR1 = 8 ΩR2 = 8 ΩR3 = 8 ΩR4 = 15 ΩR5 = 10 ΩR6 = 12 Ω
IR2 = A
6.Hard
R1​ = 10 ΩR3​ = 5 ΩR5​ = 3 Ω+−V1​5 VR2​3 ΩIR2​AR4​3 ΩBR6​12 Ω

Find the current IR2 through R2.

V1 = 5 VR1 = 10 ΩR2 = 3 ΩR3 = 5 ΩR4 = 3 ΩR5 = 3 ΩR6 = 12 Ω
IR2 = A

Answer key

  1. 1. Req = 16.44 Ω
  2. 2. IR1 = 2.933 A
  3. 3. IR2 = 0.8219 A
  4. 4. IR1 = 3.677 A
  5. 5. IR2 = 1.82 A
  6. 6. IR2 = 0.2941 A

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