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​ = 4 ΩR2​ = 3 ΩIR2​+−V1​15 VR3​5 ΩA+−V2​15 V

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

V1 = 15 VV2 = 15 VR1 = 4 ΩR2 = 3 ΩR3 = 5 Ω
IR2 = A
2.Easy
R1​ = 6 ΩR2​ = 10 Ω+−V1​15 VR3​6 ΩIR3​A+−V2​18 V

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

V1 = 15 VV2 = 18 VR1 = 6 ΩR2 = 10 ΩR3 = 6 Ω
IR3 = A
3.Medium
R1​ = 6 ΩIR1​R3​ = 5 Ω+−V1​6 VR2​2 ΩAR4​4 ΩBIs​1 A

Use superposition to find the power PR1 absorbed by R1.

V1 = 6 VIs = 1 AR1 = 6 ΩR2 = 2 ΩR3 = 5 ΩR4 = 4 Ω
PR1 = W
4.Medium
R1​ = 20 ΩR3​ = 15 ΩIR3​+−V1​10 VR2​6 ΩAR4​3 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 = 20 ΩR2 = 6 ΩR3 = 15 ΩR4 = 3 Ω
Is = A
5.Hard
R1​ = 12 ΩR2​ = 2 ΩR4​ = 3 Ω+−V1​10 VR3​6 Ω−+VR3​AIs​1 AB+−V2​36 V

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

V1 = 10 VIs = 1 AV2 = 36 VR1 = 12 ΩR2 = 2 ΩR3 = 6 ΩR4 = 3 Ω
VR3 = V
6.Hard
R1​ = 6 ΩR2​ = 25 Ω+−VR2​R4​ = 2 Ω+−V1​6 VR3​10 ΩAIs​4 AB−+V2​36 V

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

V1 = 6 VIs = 4 AV2 = 36 VR1 = 6 ΩR2 = 25 ΩR3 = 10 ΩR4 = 2 Ω
VR2 = V

Answer key

  1. 1. IR2 = −1.277 A
  2. 2. IR3 = 1.654 A
  3. 3. PR1 = 2.861 W
  4. 4. Is = 0.7692 A
  5. 5. VR3 = −19.19 V
  6. 6. VR2 = 25.81 V

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