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​ = 6 Ω+−V1​20 VR3​5 ΩA+−V2​18 V

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

V1 = 20 VV2 = 18 VR1 = 6 ΩR2 = 6 ΩR3 = 5 Ω
IR1 = A
2.Easy
R1​ = 3 ΩR2​ = 2 ΩIR2​+−V1​15 VR3​10 ΩA+−V2​24 V

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

V1 = 15 VV2 = 24 VR1 = 3 ΩR2 = 2 ΩR3 = 10 Ω
IR2 = A
3.Medium
R1​ = 20 ΩR3​ = 10 ΩIR3​+−V1​10 VR2​4 ΩAR4​4 ΩBIs​2 A

Use superposition to find the power PR3 absorbed by R3.

V1 = 10 VIs = 2 AR1 = 20 ΩR2 = 4 ΩR3 = 10 ΩR4 = 4 Ω
PR3 = 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 = 6 V and Is = 5 mA, I = 14.5 mA; with Vs = 6 V and Is = 10 mA, I = 17 mA. Find the load current I when Vs = 8 V and Is = 4 mA.

6 V, 5 mA → 14.5 mA6 V, 10 mA → 17 mAVs = 8 V, Is = 4 mA
I = mA
5.Hard
R1​ = 2 ΩR2​ = 8 ΩR4​ = 15 ΩIR4​+−V1​24 VR3​2 ΩAIs​5 AB+−V2​36 V

Use superposition to find the power PR4 absorbed by R4.

V1 = 24 VIs = 5 AV2 = 36 VR1 = 2 ΩR2 = 8 ΩR3 = 2 ΩR4 = 15 Ω
PR4 = W
6.Hard
R1​ = 12 ΩR2​ = 2 ΩIR2​R4​ = 12 Ω+−V1​30 VR3​10 ΩAIs​2.5 AB+−V2​10 V

Use superposition to find the power PR2 absorbed by R2.

V1 = 30 VIs = 2.5 AV2 = 10 VR1 = 12 ΩR2 = 2 ΩR3 = 10 ΩR4 = 12 Ω
PR2 = W

Answer key

  1. 1. IR1 = 1.354 A
  2. 2. IR2 = −2.893 A
  3. 3. PR3 = 1.335 W
  4. 4. I = 18 mA
  5. 5. PR4 = 11.48 W
  6. 6. PR2 = 3.673 W

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