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​ = 8 ΩR2​ = 10 Ω+−V1​18 VR3​8 Ω+−VR3​A+−V2​20 V

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

V1 = 18 VV2 = 20 VR1 = 8 ΩR2 = 10 ΩR3 = 8 Ω
VR3 = V
2.Easy
R1​ = 12 Ω+−V1​15 VR2​8 ΩIR2​AIs​1 A

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

V1 = 15 VIs = 1 AR1 = 12 ΩR2 = 8 Ω
IR2 = A
3.Medium
R1​ = 4 ΩIR1​R3​ = 8 Ω+−V1​24 VR2​6 ΩAR4​12 ΩBIs​2 A

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

V1 = 24 VIs = 2 AR1 = 4 ΩR2 = 6 ΩR3 = 8 ΩR4 = 12 Ω
IR1 = A
4.Medium
R1​ = 10 ΩR3​ = 10 Ω+−V1​18 VR2​10 ΩAR4​6 Ω+−VR4​BIs​2 A

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

V1 = 18 VIs = 2 AR1 = 10 ΩR2 = 10 ΩR3 = 10 ΩR4 = 6 Ω
VR4 = V
5.Hard
R1​ = 30 ΩR2​ = 3 ΩR4​ = 4 Ω+−V1​5 VR3​12 ΩIR3​AIs​1.5 AB+−V2​?

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

V1 = 5 VIs = 1.5 AR1 = 30 ΩR2 = 3 ΩR3 = 12 ΩR4 = 4 Ω
V2 = V
6.Hard
R1​ = 6 ΩR2​ = 2 ΩR4​ = 3 Ω+−V1​12 VR3​5 ΩIR3​AIs​3 AB+−V2​5 V

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

V1 = 12 VIs = 3 AV2 = 5 VR1 = 6 ΩR2 = 2 ΩR3 = 5 ΩR4 = 3 Ω
IR3 = A

Answer key

  1. 1. VR3 = 12.14 V
  2. 2. IR2 = 1.35 A
  3. 3. IR1 = 2.143 A
  4. 4. VR4 = −6 V
  5. 5. V2 = 4.833 V
  6. 6. IR3 = 1.694 A

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