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​ = 5 Ω+−V1​6 VR2​12 ΩIR2​AIs​1 A

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

V1 = 6 VIs = 1 AR1 = 5 ΩR2 = 12 Ω
IR2 = A
2.Easy
R1​ = 3 ΩR2​ = 4 ΩIR2​+−V1​10 VR3​10 ΩA+−V2​15 V

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

V1 = 10 VV2 = 15 VR1 = 3 ΩR2 = 4 ΩR3 = 10 Ω
IR2″ = A
3.Medium
R1​ = 3 ΩR3​ = 5 ΩIR3​+−V1​24 VR2​3 ΩAR4​2 ΩBIs​4 A

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

V1 = 24 VIs = 4 AR1 = 3 ΩR2 = 3 ΩR3 = 5 ΩR4 = 2 Ω
IR3 = A
4.Medium
R1​ = 5 ΩIR1​R3​ = 8 Ω+−V1​24 VR2​10 ΩAR4​2 ΩBIs​2.5 A

Use superposition to find the power PR1 absorbed by R1.

V1 = 24 VIs = 2.5 AR1 = 5 ΩR2 = 10 ΩR3 = 8 ΩR4 = 2 Ω
PR1 = W
5.Hard
R1​ = 8 ΩR2​ = 3 ΩR4​ = 6 ΩIR4​+−V1​5 VR3​30 ΩAIs​1.5 AB+−V2​15 V

Use superposition to find the current IR4 through R4 in the direction of the arrow.

V1 = 5 VIs = 1.5 AV2 = 15 VR1 = 8 ΩR2 = 3 ΩR3 = 30 ΩR4 = 6 Ω
IR4 = A
6.Hard
R1​ = 5 ΩR2​ = 8 Ω+−VR2​R4​ = 8 Ω+−V1​18 VR3​30 ΩAIs​6 AB−+V2​24 V

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

V1 = 18 VIs = 6 AV2 = 24 VR1 = 5 ΩR2 = 8 ΩR3 = 30 ΩR4 = 8 Ω
VR2 = V

Answer key

  1. 1. IR2 = 0.6471 A
  2. 2. IR2″ = −2.378 A
  3. 3. IR3 = 0.4706 A
  4. 4. PR1 = 23.11 W
  5. 5. IR4 = 0.1907 A
  6. 6. VR2 = −3.38 V

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