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​ = 5 Ω+−V1​6 VR3​8 ΩA+−V2​24 V

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

V1 = 6 VV2 = 24 VR1 = 12 ΩR2 = 5 ΩR3 = 8 Ω
IR1 = A
2.Easy
R1​ = 3 Ω+−V1​15 VR2​10 ΩIR2​AIs​3 A

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

V1 = 15 VIs = 3 AR1 = 3 ΩR2 = 10 Ω
IR2 = A
3.Medium
linear circuitVs​Is​IRL​

A linear resistive circuit contains one voltage source Vs and one current source Is. The current I through a load resistor is measured twice: with Vs = 10 V and Is = 5 mA, I = 13.5 mA; with Vs = 20 V and Is = 5 mA, I = 25.5 mA. Find the load current I when Vs = 10 V and Is = 4 mA.

10 V, 5 mA → 13.5 mA20 V, 5 mA → 25.5 mAVs = 10 V, Is = 4 mA
I = mA
4.Medium
R1​ = 2 ΩR3​ = 3 Ω+−V1​24 VR2​10 Ω+−VR2​AR4​3 ΩBIs​5 A

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

V1 = 24 VIs = 5 AR1 = 2 ΩR2 = 10 ΩR3 = 3 ΩR4 = 3 Ω
VR2 = V
5.Hard
R1​ = 10 ΩR2​ = 20 ΩR4​ = 3 Ω+−V1​9 VR3​10 ΩIR3​AIs​6 AB−+V2​5 V

Use superposition to find the power PR3 absorbed by R3.

V1 = 9 VIs = 6 AV2 = 5 VR1 = 10 ΩR2 = 20 ΩR3 = 10 ΩR4 = 3 Ω
PR3 = W
6.Hard
R1​ = 25 ΩR2​ = 8 ΩR4​ = 2 ΩIR4​+−V1​24 VR3​25 ΩAIs​2 AB+−V2​12 V

Use superposition to find the power PR4 absorbed by R4.

V1 = 24 VIs = 2 AV2 = 12 VR1 = 25 ΩR2 = 8 ΩR3 = 25 ΩR4 = 2 Ω
PR4 = W

Answer key

  1. 1. IR1 = −0.5816 A
  2. 2. IR2 = 0.4615 A
  3. 3. I = 13.2 mA
  4. 4. VR2 = 12.39 V
  5. 5. PR3 = 3.621 W
  6. 6. PR4 = 6.641 W

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