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​ = 3 ΩIR1​R2​ = 8 Ω+−V1​20 VR3​4 ΩA+−V2​10 V

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

V1 = 20 VV2 = 10 VR1 = 3 ΩR2 = 8 ΩR3 = 4 Ω
IR1 = A
2.Easy
R1​ = 2 ΩR2​ = 6 Ω+−V1​15 VR3​6 Ω+−VR3​A+−V2​8 V

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

V1 = 15 VV2 = 8 VR1 = 2 ΩR2 = 6 ΩR3 = 6 Ω
VR3 = V
3.Medium
R1​ = 4 ΩR3​ = 12 Ω+−V1​30 VR2​15 ΩAR4​20 Ω+−VR4​BIs​1.5 A

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

V1 = 30 VIs = 1.5 AR1 = 4 ΩR2 = 15 ΩR3 = 12 ΩR4 = 20 Ω
VR4 = V
4.Medium
R1​ = 4 ΩR3​ = 20 Ω+−V1​10 VR2​5 ΩAR4​2 ΩIR4​BIs​2.5 A

Use superposition to find the power PR4 absorbed by R4.

V1 = 10 VIs = 2.5 AR1 = 4 ΩR2 = 5 ΩR3 = 20 ΩR4 = 2 Ω
PR4 = W
5.Hard
R1​ = 5 ΩR2​ = 4 ΩR4​ = 30 Ω+−V1​9 VR3​10 ΩIR3​AIs​4 AB+−V2​?

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

V1 = 9 VIs = 4 AR1 = 5 ΩR2 = 4 ΩR3 = 10 ΩR4 = 30 Ω
V2 = V
6.Hard
R1​ = 6 ΩR2​ = 8 ΩR4​ = 3 Ω+−V1​18 VR3​5 ΩIR3​AIs​1 AB+−V2​10 V

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

V1 = 18 VIs = 1 AV2 = 10 VR1 = 6 ΩR2 = 8 ΩR3 = 5 ΩR4 = 3 Ω
IR3 = A

Answer key

  1. 1. IR1 = 2.941 A
  2. 2. VR3 = 10.6 V
  3. 3. VR4 = 26.41 V
  4. 4. PR4 = 12.73 W
  5. 5. V2 = 58.8 V
  6. 6. IR3 = 1.589 A

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