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​ = 4 ΩIR2​+−V1​18 VR3​6 ΩA+−V2​24 V

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

V1 = 18 VV2 = 24 VR1 = 8 ΩR2 = 4 ΩR3 = 6 Ω
IR2′ = A
2.Easy
R1​ = 8 ΩR2​ = 6 Ω+−V1​20 VR3​5 ΩIR3​A+−V2​6 V

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

V1 = 20 VV2 = 6 VR1 = 8 ΩR2 = 6 ΩR3 = 5 Ω
IR3 = A
3.Medium
R1​ = 20 ΩR3​ = 4 Ω+−V1​12 VR2​12 ΩAR4​15 Ω+−VR4​BIs​2 A

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

V1 = 12 VIs = 2 AR1 = 20 ΩR2 = 12 ΩR3 = 4 ΩR4 = 15 Ω
VR4 = V
4.Medium
R1​ = 8 ΩR3​ = 5 ΩIR3​+−V1​10 VR2​4 ΩAR4​2 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 = 8 ΩR2 = 4 ΩR3 = 5 ΩR4 = 2 Ω
Is = A
5.Hard
R1​ = 10 ΩR2​ = 8 ΩR4​ = 2 ΩIR4​+−V1​12 VR3​12 ΩAIs​0.5 AB+−V2​36 V

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

V1 = 12 VIs = 0.5 AV2 = 36 VR1 = 10 ΩR2 = 8 ΩR3 = 12 ΩR4 = 2 Ω
IR4 = A
6.Hard
R1​ = 30 ΩR2​ = 12 ΩIR2​R4​ = 4 Ω+−V1​15 VR3​3 ΩAIs​6 AB+−V2​9 V

Use superposition to find the power PR2 absorbed by R2.

V1 = 15 VIs = 6 AV2 = 9 VR1 = 30 ΩR2 = 12 ΩR3 = 3 ΩR4 = 4 Ω
PR2 = W

Answer key

  1. 1. IR2′ = 1.038 A
  2. 2. IR3 = 1.424 A
  3. 3. VR4 = −10.47 V
  4. 4. Is = 1.667 A
  5. 5. IR4 = 1.471 A
  6. 6. PR2 = 34.25 W

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