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​ = 6 Ω+−V1​12 VR3​3 ΩIR3​A+−V2​10 V

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

V1 = 12 VV2 = 10 VR1 = 3 ΩR2 = 6 ΩR3 = 3 Ω
IR3 = A
2.Easy
R1​ = 8 Ω+−V1​8 VR2​8 ΩAIs​3 A

Use superposition to find the node voltage VA (measured from ground).

V1 = 8 VIs = 3 AR1 = 8 ΩR2 = 8 Ω
VA = V
3.Medium
R1​ = 8 ΩR3​ = 10 Ω+−V1​12 VR2​5 ΩIR2​AR4​5 ΩBIs​2.5 A

Use superposition to find the power PR2 absorbed by R2.

V1 = 12 VIs = 2.5 AR1 = 8 ΩR2 = 5 ΩR3 = 10 ΩR4 = 5 Ω
PR2 = W
4.Medium
R1​ = 8 ΩR3​ = 5 ΩIR3​+−V1​12 VR2​2 ΩAR4​12 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 = 8 ΩR2 = 2 ΩR3 = 5 ΩR4 = 12 Ω
Is = A
5.Hard
R1​ = 8 ΩR2​ = 4 ΩR4​ = 8 Ω+−V1​12 VR3​8 ΩIR3​AIs​6 AB+−V2​?

Find the value of the voltage source V2 (polarity as shown) that makes the current IR3 through R3 equal to zero.

V1 = 12 VIs = 6 AR1 = 8 ΩR2 = 4 ΩR3 = 8 ΩR4 = 8 Ω
V2 = V
6.Hard
R1​ = 2 ΩR2​ = 3 ΩR4​ = 20 ΩIR4​+−V1​10 VR3​6 ΩAIs​2 AB−+V2​5 V

Use superposition to find the power PR4 absorbed by R4.

V1 = 10 VIs = 2 AV2 = 5 VR1 = 2 ΩR2 = 3 ΩR3 = 6 ΩR4 = 20 Ω
PR4 = W

Answer key

  1. 1. IR3 = 2.267 A
  2. 2. VA = 16 V
  3. 3. PR2 = 0.5794 W
  4. 4. Is = 0.2 A
  5. 5. V2 = 30 V
  6. 6. PR4 = 15.4 W

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