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​ = 6 ΩIR1​R2​ = 2 Ω+−V1​6 VR3​6 ΩA+−V2​10 V

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

V1 = 6 VV2 = 10 VR1 = 6 ΩR2 = 2 ΩR3 = 6 Ω
IR1 = A
2.Easy
R1​ = 8 ΩR2​ = 4 Ω+−V1​20 VR3​4 ΩIR3​A+−V2​24 V

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

V1 = 20 VV2 = 24 VR1 = 8 ΩR2 = 4 ΩR3 = 4 Ω
IR3 = A
3.Medium
R1​ = 8 ΩR3​ = 6 Ω+−V1​30 VR2​6 ΩIR2​AR4​8 ΩBIs​4 A

Use superposition to find the power PR2 absorbed by R2.

V1 = 30 VIs = 4 AR1 = 8 ΩR2 = 6 ΩR3 = 6 ΩR4 = 8 Ω
PR2 = W
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 = 10 V and Is = 6 mA, I = 7.6 mA; with Vs = 2 V and Is = 10 mA, I = 6.8 mA. Find the load current I when Vs = 4 V and Is = 5 mA.

10 V, 6 mA → 7.6 mA2 V, 10 mA → 6.8 mAVs = 4 V, Is = 5 mA
I = mA
5.Hard
R1​ = 25 ΩR2​ = 10 ΩIR2​R4​ = 5 Ω+−V1​15 VR3​12 ΩAIs​4 AB−+V2​12 V

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

V1 = 15 VIs = 4 AV2 = 12 VR1 = 25 ΩR2 = 10 ΩR3 = 12 ΩR4 = 5 Ω
IR2 = A
6.Hard
R1​ = 20 ΩR2​ = 8 ΩR4​ = 3 ΩIR4​+−V1​36 VR3​4 ΩAIs​3 AB+−V2​36 V

Use superposition to find the power PR4 absorbed by R4.

V1 = 36 VIs = 3 AV2 = 36 VR1 = 20 ΩR2 = 8 ΩR3 = 4 ΩR4 = 3 Ω
PR4 = W

Answer key

  1. 1. IR1 = −0.2 A
  2. 2. IR3 = 3.4 A
  3. 3. PR2 = 46.05 W
  4. 4. I = 4.6 mA
  5. 5. IR2 = −0.1357 A
  6. 6. PR4 = 59.81 W

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