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​ = 2 ΩR2​ = 12 Ω+−V1​15 VR3​8 ΩIR3​A+−V2​15 V

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

V1 = 15 VV2 = 15 VR1 = 2 ΩR2 = 12 ΩR3 = 8 Ω
IR3 = A
2.Easy
R1​ = 3 ΩIR1​+−V1​12 VR2​10 ΩAIs​3 A

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

V1 = 12 VIs = 3 AR1 = 3 ΩR2 = 10 Ω
IR1 = A
3.Medium
R1​ = 10 ΩR3​ = 2 Ω+−V1​24 VR2​15 ΩAR4​20 Ω−+VR4​BIs​1.5 A

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

V1 = 24 VIs = 1.5 AR1 = 10 ΩR2 = 15 ΩR3 = 2 ΩR4 = 20 Ω
VR4 = V
4.Medium
R1​ = 5 ΩR3​ = 6 Ω+−V1​24 VR2​3 Ω+−VR2​AR4​3 ΩBIs​5 A

Use superposition to find the voltage VR2 across R2 with the polarity shown.

V1 = 24 VIs = 5 AR1 = 5 ΩR2 = 3 ΩR3 = 6 ΩR4 = 3 Ω
VR2 = V
5.Hard
R1​ = 25 ΩR2​ = 2 ΩIR2​R4​ = 5 Ω+−V1​15 VR3​6 ΩAIs​2 AB−+V2​10 V

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

V1 = 15 VIs = 2 AV2 = 10 VR1 = 25 ΩR2 = 2 ΩR3 = 6 ΩR4 = 5 Ω
IR2 = A
6.Hard
R1​ = 5 ΩR2​ = 25 ΩR4​ = 30 Ω+−V1​12 VR3​8 ΩIR3​AIs​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 = 12 VIs = 5 AR1 = 5 ΩR2 = 25 ΩR3 = 8 ΩR4 = 30 Ω
V2 = V

Answer key

  1. 1. IR3 = 1.544 A
  2. 2. IR1 = −1.385 A
  3. 3. VR4 = −18.86 V
  4. 4. VR2 = 10.03 V
  5. 5. IR2 = 0.2452 A
  6. 6. V2 = 18 V

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