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​ = 4 ΩIR1​+−V1​24 VR2​5 ΩAIs​3 A

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

V1 = 24 VIs = 3 AR1 = 4 ΩR2 = 5 Ω
IR1 = A
2.Easy
R1​ = 8 ΩR2​ = 12 ΩIR2​+−V1​12 VR3​5 ΩA+−V2​15 V

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

V1 = 12 VV2 = 15 VR1 = 8 ΩR2 = 12 ΩR3 = 5 Ω
IR2 = A
3.Medium
R1​ = 2 ΩR3​ = 10 ΩIR3​+−V1​9 VR2​12 ΩAR4​12 ΩBIs​1.5 A

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

V1 = 9 VIs = 1.5 AR1 = 2 ΩR2 = 12 ΩR3 = 10 ΩR4 = 12 Ω
IR3 = A
4.Medium
R1​ = 15 ΩR3​ = 10 ΩIR3​+−V1​6 VR2​15 ΩAR4​4 ΩBIs​4 A

Use superposition to find the power PR3 absorbed by R3.

V1 = 6 VIs = 4 AR1 = 15 ΩR2 = 15 ΩR3 = 10 ΩR4 = 4 Ω
PR3 = W
5.Hard
R1​ = 15 ΩR2​ = 15 ΩR4​ = 5 ΩIR4​+−V1​9 VR3​10 ΩAIs​4 AB−+V2​9 V

Use superposition to find the current IR4 through R4 in the direction of the arrow.

V1 = 9 VIs = 4 AV2 = 9 VR1 = 15 ΩR2 = 15 ΩR3 = 10 ΩR4 = 5 Ω
IR4 = A
6.Hard
R1​ = 15 ΩR2​ = 12 ΩIR2​R4​ = 8 Ω+−V1​36 VR3​5 ΩAIs​2.5 AB−+V2​24 V

Use superposition to find the power PR2 absorbed by R2.

V1 = 36 VIs = 2.5 AV2 = 24 VR1 = 15 ΩR2 = 12 ΩR3 = 5 ΩR4 = 8 Ω
PR2 = W

Answer key

  1. 1. IR1 = 1 A
  2. 2. IR2 = −0.6888 A
  3. 3. IR3 = 0.4337 A
  4. 4. PR3 = 3.656 W
  5. 5. IR4 = −2.746 A
  6. 6. PR2 = 3.595 W

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