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​ = 4 Ω+−V1​20 VR3​2 ΩIR3​A+−V2​20 V

Use superposition to find the contribution IR3″ of V2 alone to the current IR3 through R3 in the direction of the arrow.

V1 = 20 VV2 = 20 VR1 = 3 ΩR2 = 4 ΩR3 = 2 Ω
IR3″ = A
2.Easy
R1​ = 2 ΩR2​ = 2 Ω+−V1​18 VR3​2 ΩIR3​A+−V2​6 V

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

V1 = 18 VV2 = 6 VR1 = 2 ΩR2 = 2 ΩR3 = 2 Ω
IR3 = A
3.Medium
R1​ = 15 ΩR3​ = 12 ΩIR3​+−V1​6 VR2​8 ΩAR4​8 ΩBIs​?

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

V1 = 6 VR1 = 15 ΩR2 = 8 ΩR3 = 12 ΩR4 = 8 Ω
Is = A
4.Medium
R1​ = 20 ΩR3​ = 8 Ω+−V1​15 VR2​10 Ω+−VR2​AR4​5 ΩBIs​4 A

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

V1 = 15 VIs = 4 AR1 = 20 ΩR2 = 10 ΩR3 = 8 ΩR4 = 5 Ω
VR2 = V
5.Hard
R1​ = 25 ΩR2​ = 2 ΩIR2​R4​ = 6 Ω+−V1​24 VR3​8 ΩAIs​3 AB−+V2​36 V

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

V1 = 24 VIs = 3 AV2 = 36 VR1 = 25 ΩR2 = 2 ΩR3 = 8 ΩR4 = 6 Ω
IR2 = A
6.Hard
R1​ = 4 ΩR2​ = 8 ΩIR2​R4​ = 10 Ω+−V1​18 VR3​4 ΩAIs​0.5 AB+−V2​12 V

Use superposition to find the power PR2 absorbed by R2.

V1 = 18 VIs = 0.5 AV2 = 12 VR1 = 4 ΩR2 = 8 ΩR3 = 4 ΩR4 = 10 Ω
PR2 = W

Answer key

  1. 1. IR3″ = 2.308 A
  2. 2. IR3 = 4 A
  3. 3. Is = 0.2609 A
  4. 4. VR2 = −3.475 V
  5. 5. IR2 = 1.694 A
  6. 6. PR2 = 1.28 W

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