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​ = 8 ΩR2​ = 2 Ω+−V1​8 VR3​2 Ω+−VR3​A+−V2​8 V

Use superposition to find the voltage VR3 across R3 with the polarity shown.

V1 = 8 VV2 = 8 VR1 = 8 ΩR2 = 2 ΩR3 = 2 Ω
VR3 = V
2.Easy
R1​ = 10 ΩR2​ = 4 ΩIR2​+−V1​12 VR3​8 ΩA+−V2​10 V

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

V1 = 12 VV2 = 10 VR1 = 10 ΩR2 = 4 ΩR3 = 8 Ω
IR2 = A
3.Medium
R1​ = 15 ΩR3​ = 3 ΩIR3​+−V1​6 VR2​6 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 = 6 ΩR3 = 3 ΩR4 = 8 Ω
Is = A
4.Medium
R1​ = 5 ΩIR1​R3​ = 5 Ω+−V1​10 VR2​5 ΩAR4​4 ΩBIs​5 A

Use superposition to find the power PR1 absorbed by R1.

V1 = 10 VIs = 5 AR1 = 5 ΩR2 = 5 ΩR3 = 5 ΩR4 = 4 Ω
PR1 = W
5.Hard
R1​ = 30 ΩR2​ = 3 ΩR4​ = 30 Ω+−V1​18 VR3​20 ΩIR3​AIs​6 AB−+V2​15 V

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

V1 = 18 VIs = 6 AV2 = 15 VR1 = 30 ΩR2 = 3 ΩR3 = 20 ΩR4 = 30 Ω
IR3 = A
6.Hard
R1​ = 25 ΩR2​ = 10 ΩR4​ = 25 Ω+−V1​6 VR3​5 ΩIR3​AIs​1 AB+−V2​?

Find the value of the voltage source V2 (polarity as shown) that makes the current IR3 through R3 equal to zero.

V1 = 6 VIs = 1 AR1 = 25 ΩR2 = 10 ΩR3 = 5 ΩR4 = 25 Ω
V2 = V

Answer key

  1. 1. VR3 = 4.444 V
  2. 2. IR2 = −0.5526 A
  3. 3. Is = 0.2143 A
  4. 4. PR1 = 0.6049 W
  5. 5. IR3 = 2.464 A
  6. 6. V2 = 16.6 V

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