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​ = 12 ΩR2​ = 3 ΩIR2​+−V1​8 VR3​12 ΩA+−V2​12 V

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

V1 = 8 VV2 = 12 VR1 = 12 ΩR2 = 3 ΩR3 = 12 Ω
IR2 = A
2.Easy
R1​ = 12 ΩR2​ = 8 Ω+−V1​6 VR3​10 Ω+−VR3​A+−V2​8 V

Use superposition to find the contribution VR3′ of V1 alone to the voltage VR3 across R3 with the polarity shown.

V1 = 6 VV2 = 8 VR1 = 12 ΩR2 = 8 ΩR3 = 10 Ω
VR3′ = V
3.Medium
R1​ = 2 ΩR3​ = 6 Ω+−V1​9 VR2​3 Ω+−VR2​AR4​15 ΩBIs​4 A

Use superposition to find the voltage VR2 across R2 with the polarity shown.

V1 = 9 VIs = 4 AR1 = 2 ΩR2 = 3 ΩR3 = 6 ΩR4 = 15 Ω
VR2 = V
4.Medium
R1​ = 15 ΩR3​ = 5 ΩIR3​+−V1​12 VR2​8 ΩAR4​5 ΩBIs​3 A

Use superposition to find the power PR3 absorbed by R3.

V1 = 12 VIs = 3 AR1 = 15 ΩR2 = 8 ΩR3 = 5 ΩR4 = 5 Ω
PR3 = W
5.Hard
R1​ = 5 ΩR2​ = 2 ΩR4​ = 3 ΩIR4​+−V1​36 VR3​2 ΩAIs​2 AB−+V2​24 V

Use superposition to find the current IR4 through R4 in the direction of the arrow.

V1 = 36 VIs = 2 AV2 = 24 VR1 = 5 ΩR2 = 2 ΩR3 = 2 ΩR4 = 3 Ω
IR4 = A
6.Hard
R1​ = 20 ΩR2​ = 3 ΩR4​ = 30 Ω+−V1​36 VR3​15 ΩIR3​AIs​0.5 AB+−V2​24 V

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

V1 = 36 VIs = 0.5 AV2 = 24 VR1 = 20 ΩR2 = 3 ΩR3 = 15 ΩR4 = 30 Ω
IR3 = A

Answer key

  1. 1. IR2 = −0.8889 A
  2. 2. VR3′ = 1.622 V
  3. 3. VR2 = 8.351 V
  4. 4. PR3 = 2.531 W
  5. 5. IR4 = 6.4 A
  6. 6. IR3 = 1.353 A

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