Superposition worksheet with answers

Free printable Superposition 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​ = 2 ΩR2​ = 10 ΩIR2​+−V1​8 VR3​6 ΩA+−V2​20 V

Use superposition to find the current IR2 through R2 in the direction of the arrow.

V1 = 8 VV2 = 20 VR1 = 2 ΩR2 = 10 ΩR3 = 6 Ω
IR2 = A
2.Easy
R1​ = 8 ΩIR1​+−V1​20 VR2​8 ΩAIs​2 A

Use superposition to find the current IR1 through R1 in the direction of the arrow.

V1 = 20 VIs = 2 AR1 = 8 ΩR2 = 8 Ω
IR1 = A
3.Medium
R1​ = 20 ΩR3​ = 20 ΩIR3​+−V1​12 VR2​8 ΩAR4​2 ΩBIs​4 A

Use superposition to find the current IR3 through R3 in the direction of the arrow.

V1 = 12 VIs = 4 AR1 = 20 ΩR2 = 8 ΩR3 = 20 ΩR4 = 2 Ω
IR3 = A
4.Medium
R1​ = 12 ΩIR1​R3​ = 12 Ω+−V1​6 VR2​15 ΩAR4​10 ΩBIs​5 A

Use superposition to find the power PR1 absorbed by R1.

V1 = 6 VIs = 5 AR1 = 12 ΩR2 = 15 ΩR3 = 12 ΩR4 = 10 Ω
PR1 = W
5.Hard
R1​ = 30 ΩR2​ = 5 ΩIR2​R4​ = 6 Ω+−V1​30 VR3​4 ΩAIs​0.5 AB+−V2​24 V

Use superposition to find the power PR2 absorbed by R2.

V1 = 30 VIs = 0.5 AV2 = 24 VR1 = 30 ΩR2 = 5 ΩR3 = 4 ΩR4 = 6 Ω
PR2 = W
6.Hard
R1​ = 20 ΩR2​ = 5 ΩR4​ = 30 ΩIR4​+−V1​9 VR3​6 ΩAIs​0.5 AB−+V2​36 V

Use superposition to find the power PR4 absorbed by R4.

V1 = 9 VIs = 0.5 AV2 = 36 VR1 = 20 ΩR2 = 5 ΩR3 = 6 ΩR4 = 30 Ω
PR4 = W

Answer key

  1. 1. IR2 = −1.217 A
  2. 2. IR1 = 0.25 A
  3. 3. IR3 = −0.1649 A
  4. 4. PR1 = 5.584 W
  5. 5. PR2 = 7.229 W
  6. 6. PR4 = 35.16 W

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