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 ΩIR1​R2​ = 6 Ω+−V1​20 VR3​4 ΩA+−V2​20 V

Use superposition to find the current IR1 through R1 in the direction of the arrow.

V1 = 20 VV2 = 20 VR1 = 12 ΩR2 = 6 ΩR3 = 4 Ω
IR1 = A
2.Easy
R1​ = 12 ΩR2​ = 2 ΩIR2​+−V1​10 VR3​10 ΩA+−V2​12 V

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

V1 = 10 VV2 = 12 VR1 = 12 ΩR2 = 2 ΩR3 = 10 Ω
IR2 = A
3.Medium
R1​ = 12 ΩR3​ = 15 ΩIR3​+−V1​9 VR2​5 ΩAR4​10 ΩBIs​?

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

V1 = 9 VR1 = 12 ΩR2 = 5 ΩR3 = 15 ΩR4 = 10 Ω
Is = A
4.Medium
R1​ = 20 ΩIR1​R3​ = 2 Ω+−V1​6 VR2​15 ΩAR4​10 ΩBIs​2 A

Use superposition to find the power PR1 absorbed by R1.

V1 = 6 VIs = 2 AR1 = 20 ΩR2 = 15 ΩR3 = 2 ΩR4 = 10 Ω
PR1 = W
5.Hard
R1​ = 15 ΩR2​ = 2 ΩR4​ = 10 Ω+−V1​30 VR3​2 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 = 30 VIs = 6 AR1 = 15 ΩR2 = 2 ΩR3 = 2 ΩR4 = 10 Ω
V2 = V
6.Hard
R1​ = 12 ΩR2​ = 8 ΩR4​ = 6 ΩIR4​+−V1​24 VR3​30 ΩAIs​2.5 AB+−V2​36 V

Use superposition to find the power PR4 absorbed by R4.

V1 = 24 VIs = 2.5 AV2 = 36 VR1 = 12 ΩR2 = 8 ΩR3 = 30 ΩR4 = 6 Ω
PR4 = W

Answer key

  1. 1. IR1 = 0.8333 A
  2. 2. IR2 = −1 A
  3. 3. Is = 0.2647 A
  4. 4. PR1 = 8.235 W
  5. 5. V2 = 36 V
  6. 6. PR4 = 6 W

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