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​ = 10 Ω+−V1​20 VR2​10 ΩIR2​AIs​3 A

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

V1 = 20 VIs = 3 AR1 = 10 ΩR2 = 10 Ω
IR2 = A
2.Easy
R1​ = 6 ΩR2​ = 10 Ω+−V1​6 VR3​10 ΩIR3​A+−V2​24 V

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

V1 = 6 VV2 = 24 VR1 = 6 ΩR2 = 10 ΩR3 = 10 Ω
IR3 = 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 = 12 V and Is = 1 mA, I = 11.25 mA; with Vs = 2 V and Is = 8 mA, I = −4 mA. Find the load current I when Vs = 10 V and Is = 4 mA.

12 V, 1 mA → 11.25 mA2 V, 8 mA → −4 mAVs = 10 V, Is = 4 mA
I = mA
4.Medium
R1​ = 10 ΩR3​ = 6 Ω+−V1​6 VR2​20 Ω+−VR2​AR4​2 ΩBIs​2.5 A

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

V1 = 6 VIs = 2.5 AR1 = 10 ΩR2 = 20 ΩR3 = 6 ΩR4 = 2 Ω
VR2 = V
5.Hard
R1​ = 5 ΩR2​ = 30 ΩR4​ = 15 ΩIR4​+−V1​12 VR3​20 ΩAIs​0.5 AB−+V2​30 V

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

V1 = 12 VIs = 0.5 AV2 = 30 VR1 = 5 ΩR2 = 30 ΩR3 = 20 ΩR4 = 15 Ω
IR4 = A
6.Hard
R1​ = 3 ΩR2​ = 6 ΩIR2​R4​ = 2 Ω+−V1​12 VR3​12 ΩAIs​5 AB+−V2​36 V

Use superposition to find the power PR2 absorbed by R2.

V1 = 12 VIs = 5 AV2 = 36 VR1 = 3 ΩR2 = 6 ΩR3 = 12 ΩR4 = 2 Ω
PR2 = W

Answer key

  1. 1. IR2 = 2.5 A
  2. 2. IR3 = 0.9273 A
  3. 3. I = 7 mA
  4. 4. VR2 = 4.455 V
  5. 5. IR4 = 1.155 A
  6. 6. PR2 = 73.5 W

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