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​ = 3 ΩIR2​+−V1​18 VR3​5 ΩA+−V2​10 V

Use superposition to find the contribution IR2″ of V2 alone to the current IR2 through R2 in the direction of the arrow.

V1 = 18 VV2 = 10 VR1 = 8 ΩR2 = 3 ΩR3 = 5 Ω
IR2″ = A
2.Easy
R1​ = 2 ΩIR1​R2​ = 8 Ω+−V1​8 VR3​6 ΩA+−V2​12 V

Use superposition to find the current IR1 through R1 in the direction of the arrow.

V1 = 8 VV2 = 12 VR1 = 2 ΩR2 = 8 ΩR3 = 6 Ω
IR1 = A
3.Medium
R1​ = 4 ΩR3​ = 2 Ω+−V1​12 VR2​12 ΩIR2​AR4​8 ΩBIs​3 A

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

V1 = 12 VIs = 3 AR1 = 4 ΩR2 = 12 ΩR3 = 2 ΩR4 = 8 Ω
IR2 = A
4.Medium
R1​ = 2 ΩR3​ = 4 Ω+−V1​24 VR2​12 ΩIR2​AR4​3 ΩBIs​3 A

Use superposition to find the power PR2 absorbed by R2.

V1 = 24 VIs = 3 AR1 = 2 ΩR2 = 12 ΩR3 = 4 ΩR4 = 3 Ω
PR2 = W
5.Hard
R1​ = 20 ΩIR1​R2​ = 12 ΩR4​ = 12 Ω+−V1​12 VR3​10 ΩAIs​4 AB+−V2​9 V

Use superposition to find the power PR1 absorbed by R1.

V1 = 12 VIs = 4 AV2 = 9 VR1 = 20 ΩR2 = 12 ΩR3 = 10 ΩR4 = 12 Ω
PR1 = W
6.Hard
R1​ = 5 ΩR2​ = 25 Ω+−VR2​R4​ = 5 Ω+−V1​15 VR3​15 ΩAIs​2 AB+−V2​9 V

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

V1 = 15 VIs = 2 AV2 = 9 VR1 = 5 ΩR2 = 25 ΩR3 = 15 ΩR4 = 5 Ω
VR2 = V

Answer key

  1. 1. IR2″ = −1.646 A
  2. 2. IR1 = 0.5263 A
  3. 3. IR2 = −1.038 A
  4. 4. PR2 = 18.14 W
  5. 5. PR1 = 0.6201 W
  6. 6. VR2 = −5.741 V

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