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​ = 8 ΩIR2​+−V1​15 VR3​12 ΩA+−V2​15 V

Use superposition to find the contribution IR2′ of V1 alone to the current IR2 through R2 in the direction of the arrow.

V1 = 15 VV2 = 15 VR1 = 3 ΩR2 = 8 ΩR3 = 12 Ω
IR2′ = A
2.Easy
R1​ = 2 Ω+−V1​10 VR2​10 ΩIR2​AIs​2 A

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

V1 = 10 VIs = 2 AR1 = 2 ΩR2 = 10 Ω
IR2 = A
3.Medium
R1​ = 10 ΩR3​ = 3 ΩIR3​+−V1​6 VR2​5 ΩAR4​5 ΩBIs​1.5 A

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

V1 = 6 VIs = 1.5 AR1 = 10 ΩR2 = 5 ΩR3 = 3 ΩR4 = 5 Ω
IR3 = A
4.Medium
R1​ = 12 ΩR3​ = 8 Ω+−V1​10 VR2​10 ΩAR4​15 Ω+−VR4​BIs​2 A

Use superposition to find the voltage VR4 across R4 with the polarity shown.

V1 = 10 VIs = 2 AR1 = 12 ΩR2 = 10 ΩR3 = 8 ΩR4 = 15 Ω
VR4 = V
5.Hard
R1​ = 5 ΩR2​ = 25 ΩR4​ = 20 ΩIR4​+−V1​12 VR3​25 ΩAIs​2 AB+−V2​15 V

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

V1 = 12 VIs = 2 AV2 = 15 VR1 = 5 ΩR2 = 25 ΩR3 = 25 ΩR4 = 20 Ω
IR4 = A
6.Hard
R1​ = 4 ΩR2​ = 6 ΩR4​ = 12 Ω+−V1​10 VR3​15 Ω−+VR3​AIs​0.5 AB+−V2​6 V

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

V1 = 10 VIs = 0.5 AV2 = 6 VR1 = 4 ΩR2 = 6 ΩR3 = 15 ΩR4 = 12 Ω
VR3 = V

Answer key

  1. 1. IR2′ = 1.154 A
  2. 2. IR2 = 1.167 A
  3. 3. IR3 = 0.8382 A
  4. 4. VR4 = 16.58 V
  5. 5. IR4 = 1.085 A
  6. 6. VR3 = −8.507 V

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