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​ = 4 ΩIR1​R2​ = 2 Ω+−V1​15 VR3​5 ΩA+−V2​8 V

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

V1 = 15 VV2 = 8 VR1 = 4 ΩR2 = 2 ΩR3 = 5 Ω
IR1 = A
2.Easy
R1​ = 5 Ω+−V1​24 VR2​6 ΩAIs​3 A

Use superposition to find the node voltage VA (measured from ground).

V1 = 24 VIs = 3 AR1 = 5 ΩR2 = 6 Ω
VA = V
3.Medium
R1​ = 4 ΩR3​ = 15 ΩIR3​+−V1​18 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 = 18 VR1 = 4 ΩR2 = 2 ΩR3 = 15 ΩR4 = 3 Ω
Is = A
4.Medium
R1​ = 8 ΩR3​ = 15 ΩIR3​+−V1​12 VR2​8 ΩAR4​2 ΩBIs​1.5 A

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

V1 = 12 VIs = 1.5 AR1 = 8 ΩR2 = 8 ΩR3 = 15 ΩR4 = 2 Ω
IR3 = A
5.Hard
R1​ = 8 ΩR2​ = 20 ΩR4​ = 30 ΩIR4​+−V1​6 VR3​30 ΩAIs​2 AB−+V2​10 V

Use superposition to find the power PR4 absorbed by R4.

V1 = 6 VIs = 2 AV2 = 10 VR1 = 8 ΩR2 = 20 ΩR3 = 30 ΩR4 = 30 Ω
PR4 = W
6.Hard
R1​ = 25 ΩR2​ = 5 ΩR4​ = 6 Ω+−V1​15 VR3​30 Ω+−VR3​AIs​5 AB+−V2​24 V

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

V1 = 15 VIs = 5 AV2 = 24 VR1 = 25 ΩR2 = 5 ΩR3 = 30 ΩR4 = 6 Ω
VR3 = V

Answer key

  1. 1. IR1 = 1.711 A
  2. 2. VA = 21.27 V
  3. 3. Is = 2 A
  4. 4. IR3 = −0.1429 A
  5. 5. PR4 = 42.93 W
  6. 6. VR3 = 33.54 V

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