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.

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1.Easy
R1​ = 2 ΩR2​ = 3 Ω+−V1​20 VR3​8 Ω+−VR3​A+−V2​12 V

Use superposition to find the contribution VR3′ of V1 alone to the voltage VR3 across R3 with the polarity shown.

V1 = 20 VV2 = 12 VR1 = 2 ΩR2 = 3 ΩR3 = 8 Ω
VR3′ = V
2.Easy
R1​ = 10 ΩR2​ = 10 Ω+−V1​24 VR3​8 ΩIR3​A+−V2​15 V

Use superposition to find the contribution IR3′ of V1 alone to the current IR3 through R3 in the direction of the arrow.

V1 = 24 VV2 = 15 VR1 = 10 ΩR2 = 10 ΩR3 = 8 Ω
IR3′ = A
3.Medium
R1​ = 2 ΩIR1​R3​ = 20 Ω+−V1​18 VR2​20 ΩAR4​20 ΩBIs​1 A

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

V1 = 18 VIs = 1 AR1 = 2 ΩR2 = 20 ΩR3 = 20 ΩR4 = 20 Ω
IR1 = A
4.Medium
R1​ = 6 ΩR3​ = 5 ΩIR3​+−V1​30 VR2​20 ΩAR4​10 ΩBIs​?

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

V1 = 30 VR1 = 6 ΩR2 = 20 ΩR3 = 5 ΩR4 = 10 Ω
Is = A
5.Hard
R1​ = 5 ΩR2​ = 12 ΩIR2​R4​ = 12 Ω+−V1​10 VR3​8 ΩAIs​4 AB+−V2​9 V

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

V1 = 10 VIs = 4 AV2 = 9 VR1 = 5 ΩR2 = 12 ΩR3 = 8 ΩR4 = 12 Ω
IR2 = A
6.Hard
R1​ = 8 ΩR2​ = 5 ΩR4​ = 6 Ω+−V1​6 VR3​30 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 = 6 VIs = 2.5 AR1 = 8 ΩR2 = 5 ΩR3 = 30 ΩR4 = 6 Ω
V2 = V

Answer key

  1. 1. VR3′ = 10.43 V
  2. 2. IR3′ = 0.9231 A
  3. 3. IR1 = 0.7391 A
  4. 4. Is = 2.308 A
  5. 5. IR2 = −1.878 A
  6. 6. V2 = 6.75 V

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