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​ = 3 ΩR2​ = 6 Ω+−V1​10 VR3​5 Ω+−VR3​A+−V2​18 V

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

V1 = 10 VV2 = 18 VR1 = 3 ΩR2 = 6 ΩR3 = 5 Ω
VR3′ = V
2.Easy
R1​ = 6 ΩR2​ = 2 ΩIR2​+−V1​24 VR3​4 ΩA+−V2​20 V

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

V1 = 24 VV2 = 20 VR1 = 6 ΩR2 = 2 ΩR3 = 4 Ω
IR2 = A
3.Medium
R1​ = 10 ΩR3​ = 12 ΩIR3​+−V1​10 VR2​5 ΩAR4​4 ΩBIs​?

Find the value of the current source Is (direction as shown) that makes the current IR3 through R3 equal to zero.

V1 = 10 VR1 = 10 ΩR2 = 5 ΩR3 = 12 ΩR4 = 4 Ω
Is = A
4.Medium
R1​ = 8 ΩR3​ = 8 Ω+−V1​18 VR2​4 ΩIR2​AR4​12 ΩBIs​5 A

Use superposition to find the power PR2 absorbed by R2.

V1 = 18 VIs = 5 AR1 = 8 ΩR2 = 4 ΩR3 = 8 ΩR4 = 12 Ω
PR2 = W
5.Hard
R1​ = 4 ΩR2​ = 15 ΩR4​ = 15 Ω+−V1​12 VR3​25 ΩIR3​AIs​3 AB+−V2​10 V

Use superposition to find the power PR3 absorbed by R3.

V1 = 12 VIs = 3 AV2 = 10 VR1 = 4 ΩR2 = 15 ΩR3 = 25 ΩR4 = 15 Ω
PR3 = W
6.Hard
R1​ = 10 ΩR2​ = 10 Ω+−VR2​R4​ = 15 Ω+−V1​30 VR3​6 ΩAIs​3 AB−+V2​30 V

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

V1 = 30 VIs = 3 AV2 = 30 VR1 = 10 ΩR2 = 10 ΩR3 = 6 ΩR4 = 15 Ω
VR2 = V

Answer key

  1. 1. VR3′ = 4.762 V
  2. 2. IR2 = −2.364 A
  3. 3. Is = 0.8333 A
  4. 4. PR2 = 38.15 W
  5. 5. PR3 = 1.286 W
  6. 6. VR2 = 30 V

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