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​ = 12 ΩR2​ = 6 Ω+−V1​18 VR3​6 ΩIR3​A+−V2​18 V

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

V1 = 18 VV2 = 18 VR1 = 12 ΩR2 = 6 ΩR3 = 6 Ω
IR3 = A
2.Easy
R1​ = 2 ΩR2​ = 3 ΩIR2​+−V1​8 VR3​6 ΩA+−V2​20 V

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

V1 = 8 VV2 = 20 VR1 = 2 ΩR2 = 3 ΩR3 = 6 Ω
IR2″ = A
3.Medium
R1​ = 3 ΩR3​ = 5 ΩIR3​+−V1​12 VR2​4 ΩAR4​5 ΩBIs​?

Find the value of the current source Is (direction as shown) that makes the current IR3 through R3 equal to zero.

V1 = 12 VR1 = 3 ΩR2 = 4 ΩR3 = 5 ΩR4 = 5 Ω
Is = A
4.Medium
R1​ = 10 ΩR3​ = 4 Ω+−V1​15 VR2​12 ΩIR2​AR4​20 ΩBIs​1.5 A

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

V1 = 15 VIs = 1.5 AR1 = 10 ΩR2 = 12 ΩR3 = 4 ΩR4 = 20 Ω
IR2 = A
5.Hard
R1​ = 5 ΩR2​ = 15 Ω−+VR2​R4​ = 15 Ω+−V1​5 VR3​8 ΩAIs​3 AB−+V2​6 V

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

V1 = 5 VIs = 3 AV2 = 6 VR1 = 5 ΩR2 = 15 ΩR3 = 8 ΩR4 = 15 Ω
VR2 = V
6.Hard
R1​ = 12 ΩR2​ = 20 ΩR4​ = 3 ΩIR4​+−V1​6 VR3​8 ΩAIs​3 AB+−V2​36 V

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

V1 = 6 VIs = 3 AV2 = 36 VR1 = 12 ΩR2 = 20 ΩR3 = 8 ΩR4 = 3 Ω
IR4 = A

Answer key

  1. 1. IR3 = 1.8 A
  2. 2. IR2″ = −4.444 A
  3. 3. Is = 1.371 A
  4. 4. IR2 = −1.019 A
  5. 5. VR2 = 16.29 V
  6. 6. IR4 = 1.468 A

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