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.

New worksheetPractise online with hints

For teachers: free to print, copy and use in class. Every new worksheet has new values and its own answer key. A link to ExamProblems on your course page is appreciated.

Name: ____________________   Date: ____________

1.Easy
R1​ = 10 ΩR2​ = 8 Ω+−V1​10 VR3​10 ΩIR3​A+−V2​6 V

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

V1 = 10 VV2 = 6 VR1 = 10 ΩR2 = 8 ΩR3 = 10 Ω
IR3 = A
2.Easy
R1​ = 12 Ω+−V1​20 VR2​8 ΩIR2​AIs​3 A

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

V1 = 20 VIs = 3 AR1 = 12 ΩR2 = 8 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 = 6 V and Is = 3 mA, I = 3.9 mA; with Vs = 12 V and Is = 8 mA, I = 8.8 mA. Find the load current I when Vs = 15 V and Is = 10 mA.

6 V, 3 mA → 3.9 mA12 V, 8 mA → 8.8 mAVs = 15 V, Is = 10 mA
I = mA
4.Medium
R1​ = 8 ΩR3​ = 5 Ω+−V1​6 VR2​20 ΩAR4​15 Ω+−VR4​BIs​1 A

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

V1 = 6 VIs = 1 AR1 = 8 ΩR2 = 20 ΩR3 = 5 ΩR4 = 15 Ω
VR4 = V
5.Hard
R1​ = 15 ΩR2​ = 25 ΩR4​ = 8 Ω+−V1​5 VR3​2 ΩIR3​AIs​6 AB−+V2​30 V

Use superposition to find the power PR3 absorbed by R3.

V1 = 5 VIs = 6 AV2 = 30 VR1 = 15 ΩR2 = 25 ΩR3 = 2 ΩR4 = 8 Ω
PR3 = W
6.Hard
R1​ = 25 ΩIR1​R2​ = 25 ΩR4​ = 20 Ω+−V1​36 VR3​6 ΩAIs​3 AB+−V2​15 V

Use superposition to find the power PR1 absorbed by R1.

V1 = 36 VIs = 3 AV2 = 15 VR1 = 25 ΩR2 = 25 ΩR3 = 6 ΩR4 = 20 Ω
PR1 = W

Answer key

  1. 1. IR3 = 0.5385 A
  2. 2. IR2 = 2.8 A
  3. 3. I = 11 mA
  4. 4. VR4 = 8.75 V
  5. 5. PR3 = 1.084 W
  6. 6. PR1 = 20.12 W

Full step-by-step solutions: practise this topic on examproblems.com.