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​ = 8 ΩR2​ = 6 ΩIR2​+−V1​8 VR3​10 ΩA+−V2​24 V

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

V1 = 8 VV2 = 24 VR1 = 8 ΩR2 = 6 ΩR3 = 10 Ω
IR2 = A
2.Easy
R1​ = 3 ΩR2​ = 12 Ω+−V1​20 VR3​3 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 = 20 VV2 = 15 VR1 = 3 ΩR2 = 12 ΩR3 = 3 Ω
IR3′ = A
3.Medium
R1​ = 3 ΩR3​ = 2 Ω+−V1​12 VR2​12 ΩAR4​15 Ω−+VR4​BIs​4 A

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

V1 = 12 VIs = 4 AR1 = 3 ΩR2 = 12 ΩR3 = 2 ΩR4 = 15 Ω
VR4 = V
4.Medium
R1​ = 20 ΩR3​ = 3 Ω+−V1​24 VR2​4 Ω+−VR2​AR4​2 ΩBIs​4 A

Use superposition to find the voltage VR2 across R2 with the polarity shown.

V1 = 24 VIs = 4 AR1 = 20 ΩR2 = 4 ΩR3 = 3 ΩR4 = 2 Ω
VR2 = V
5.Hard
R1​ = 3 ΩR2​ = 5 ΩR4​ = 10 Ω+−V1​6 VR3​15 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 = 6 VIs = 4 AR1 = 3 ΩR2 = 5 ΩR3 = 15 ΩR4 = 10 Ω
V2 = V
6.Hard
R1​ = 25 ΩR2​ = 15 ΩR4​ = 15 ΩIR4​+−V1​24 VR3​8 ΩAIs​3 AB+−V2​30 V

Use superposition to find the power PR4 absorbed by R4.

V1 = 24 VIs = 3 AV2 = 30 VR1 = 25 ΩR2 = 15 ΩR3 = 8 ΩR4 = 15 Ω
PR4 = W

Answer key

  1. 1. IR2 = −1.872 A
  2. 2. IR3′ = 2.963 A
  3. 3. VR4 = 6.186 V
  4. 4. VR2 = −0.8 V
  5. 5. V2 = 10 V
  6. 6. PR4 = 17.55 W

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