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​ = 12 ΩR2​ = 2 Ω+−V1​12 VR3​10 Ω+−VR3​A+−V2​15 V

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

V1 = 12 VV2 = 15 VR1 = 12 ΩR2 = 2 ΩR3 = 10 Ω
VR3 = V
2.Easy
R1​ = 4 ΩR2​ = 8 ΩIR2​+−V1​10 VR3​6 ΩA+−V2​8 V

Use superposition to find the contribution IR2′ of V1 alone to the current IR2 through R2 in the direction of the arrow.

V1 = 10 VV2 = 8 VR1 = 4 ΩR2 = 8 ΩR3 = 6 Ω
IR2′ = A
3.Medium
R1​ = 3 ΩR3​ = 3 ΩIR3​+−V1​24 VR2​2 ΩAR4​3 ΩBIs​?

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

V1 = 24 VR1 = 3 ΩR2 = 2 ΩR3 = 3 ΩR4 = 3 Ω
Is = A
4.Medium
R1​ = 8 ΩR3​ = 6 ΩIR3​+−V1​15 VR2​5 ΩAR4​2 ΩBIs​3 A

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

V1 = 15 VIs = 3 AR1 = 8 ΩR2 = 5 ΩR3 = 6 ΩR4 = 2 Ω
IR3 = A
5.Hard
R1​ = 30 ΩR2​ = 20 ΩR4​ = 20 Ω+−V1​18 VR3​2 ΩIR3​AIs​2 AB+−V2​?

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

V1 = 18 VIs = 2 AR1 = 30 ΩR2 = 20 ΩR3 = 2 ΩR4 = 20 Ω
V2 = V
6.Hard
R1​ = 5 ΩR2​ = 25 ΩR4​ = 10 ΩIR4​+−V1​36 VR3​12 ΩAIs​0.5 AB+−V2​10 V

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

V1 = 36 VIs = 0.5 AV2 = 10 VR1 = 5 ΩR2 = 25 ΩR3 = 12 ΩR4 = 10 Ω
IR4 = A

Answer key

  1. 1. VR3 = 12.44 V
  2. 2. IR2′ = 0.5769 A
  3. 3. Is = 3.2 A
  4. 4. IR3 = 1.063 A
  5. 5. V2 = 16 V
  6. 6. IR4 = 0.7702 A

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