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​ = 6 ΩR2​ = 12 Ω+−V1​12 VR3​12 ΩIR3​A+−V2​6 V

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

V1 = 12 VV2 = 6 VR1 = 6 ΩR2 = 12 ΩR3 = 12 Ω
IR3 = A
2.Easy
R1​ = 8 ΩR2​ = 10 ΩIR2​+−V1​10 VR3​8 ΩA+−V2​6 V

Use superposition to find the contribution IR2″ of V2 alone to the current IR2 through R2 in the direction of the arrow.

V1 = 10 VV2 = 6 VR1 = 8 ΩR2 = 10 ΩR3 = 8 Ω
IR2″ = A
3.Medium
R1​ = 4 ΩIR1​R3​ = 12 Ω+−V1​12 VR2​5 ΩAR4​5 ΩBIs​2.5 A

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

V1 = 12 VIs = 2.5 AR1 = 4 ΩR2 = 5 ΩR3 = 12 ΩR4 = 5 Ω
IR1 = A
4.Medium
R1​ = 2 ΩR3​ = 20 Ω+−V1​10 VR2​5 ΩAR4​15 Ω+−VR4​BIs​4 A

Use superposition to find the voltage VR4 across R4 with the polarity shown.

V1 = 10 VIs = 4 AR1 = 2 ΩR2 = 5 ΩR3 = 20 ΩR4 = 15 Ω
VR4 = V
5.Hard
R1​ = 8 ΩR2​ = 6 ΩIR2​R4​ = 5 Ω+−V1​12 VR3​20 ΩAIs​4 AB+−V2​10 V

Use superposition to find the power PR2 absorbed by R2.

V1 = 12 VIs = 4 AV2 = 10 VR1 = 8 ΩR2 = 6 ΩR3 = 20 ΩR4 = 5 Ω
PR2 = W
6.Hard
R1​ = 4 ΩIR1​R2​ = 15 ΩR4​ = 8 Ω+−V1​24 VR3​12 ΩAIs​6 AB−+V2​5 V

Use superposition to find the power PR1 absorbed by R1.

V1 = 24 VIs = 6 AV2 = 5 VR1 = 4 ΩR2 = 15 ΩR3 = 12 ΩR4 = 8 Ω
PR1 = W

Answer key

  1. 1. IR3 = 0.625 A
  2. 2. IR2″ = −0.4286 A
  3. 3. IR1 = 1.165 A
  4. 4. VR4 = 38.24 V
  5. 5. PR2 = 9.862 W
  6. 6. PR1 = 2.426 W

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