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​ = 10 Ω+−V1​15 VR3​4 Ω+−VR3​A+−V2​6 V

Use superposition to find the voltage VR3 across R3 with the polarity shown.

V1 = 15 VV2 = 6 VR1 = 10 ΩR2 = 10 ΩR3 = 4 Ω
VR3 = V
2.Easy
R1​ = 12 Ω+−V1​18 VR2​6 ΩIR2​AIs​2 A

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

V1 = 18 VIs = 2 AR1 = 12 ΩR2 = 6 Ω
IR2 = A
3.Medium
R1​ = 2 ΩR3​ = 8 ΩIR3​+−V1​15 VR2​8 ΩAR4​5 ΩBIs​?

Find the value of the current source Is (direction as shown) that makes the current IR3 through R3 equal to zero.

V1 = 15 VR1 = 2 ΩR2 = 8 ΩR3 = 8 ΩR4 = 5 Ω
Is = A
4.Medium
R1​ = 4 ΩIR1​R3​ = 12 Ω+−V1​24 VR2​6 ΩAR4​12 ΩBIs​2.5 A

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

V1 = 24 VIs = 2.5 AR1 = 4 ΩR2 = 6 ΩR3 = 12 ΩR4 = 12 Ω
IR1 = A
5.Hard
R1​ = 25 ΩR2​ = 25 ΩR4​ = 5 Ω+−V1​9 VR3​10 ΩIR3​AIs​2.5 AB+−V2​?

Find the value of the voltage source V2 (polarity as shown) that makes the current IR3 through R3 equal to zero.

V1 = 9 VIs = 2.5 AR1 = 25 ΩR2 = 25 ΩR3 = 10 ΩR4 = 5 Ω
V2 = V
6.Hard
R1​ = 12 ΩR2​ = 3 ΩR4​ = 3 Ω+−V1​36 VR3​30 ΩIR3​AIs​5 AB−+V2​24 V

Use superposition to find the power PR3 absorbed by R3.

V1 = 36 VIs = 5 AV2 = 24 VR1 = 12 ΩR2 = 3 ΩR3 = 30 ΩR4 = 3 Ω
PR3 = W

Answer key

  1. 1. VR3 = 4.667 V
  2. 2. IR2 = 2.333 A
  3. 3. Is = 2.4 A
  4. 4. IR1 = 2.045 A
  5. 5. V2 = 1.7 V
  6. 6. PR3 = 5.087 W

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