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 ΩIR1​R2​ = 8 Ω+−V1​18 VR3​3 ΩA+−V2​15 V

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

V1 = 18 VV2 = 15 VR1 = 10 ΩR2 = 8 ΩR3 = 3 Ω
IR1 = A
2.Easy
R1​ = 8 ΩR2​ = 8 Ω+−V1​8 VR3​5 ΩIR3​A+−V2​20 V

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

V1 = 8 VV2 = 20 VR1 = 8 ΩR2 = 8 ΩR3 = 5 Ω
IR3 = A
3.Medium
R1​ = 5 ΩR3​ = 3 Ω+−V1​6 VR2​3 ΩAR4​12 Ω−+VR4​BIs​1 A

Use superposition to find the voltage VR4 across R4 with the polarity shown.

V1 = 6 VIs = 1 AR1 = 5 ΩR2 = 3 ΩR3 = 3 ΩR4 = 12 Ω
VR4 = V
4.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 = 2 mA, I = 15.6 mA; with Vs = 20 V and Is = 8 mA, I = 28.8 mA. Find the load current I when Vs = 12 V and Is = 4 mA.

12 V, 2 mA → 15.6 mA20 V, 8 mA → 28.8 mAVs = 12 V, Is = 4 mA
I = mA
5.Hard
R1​ = 15 ΩIR1​R2​ = 5 ΩR4​ = 10 Ω+−V1​12 VR3​8 ΩAIs​2 AB−+V2​36 V

Use superposition to find the power PR1 absorbed by R1.

V1 = 12 VIs = 2 AV2 = 36 VR1 = 15 ΩR2 = 5 ΩR3 = 8 ΩR4 = 10 Ω
PR1 = W
6.Hard
R1​ = 8 ΩR2​ = 2 Ω+−VR2​R4​ = 2 Ω+−V1​18 VR3​3 ΩAIs​1.5 AB−+V2​30 V

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

V1 = 18 VIs = 1.5 AV2 = 30 VR1 = 8 ΩR2 = 2 ΩR3 = 3 ΩR4 = 2 Ω
VR2 = V

Answer key

  1. 1. IR1 = 1.142 A
  2. 2. IR3 = 1.556 A
  3. 3. VR4 = −5.067 V
  4. 4. I = 16.8 mA
  5. 5. PR1 = 11.32 W
  6. 6. VR2 = 10.32 V

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