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​ = 6 Ω+−V1​15 VR3​4 ΩA+−V2​18 V

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

V1 = 15 VV2 = 18 VR1 = 4 ΩR2 = 6 ΩR3 = 4 Ω
IR1 = A
2.Easy
R1​ = 10 ΩR2​ = 6 ΩIR2​+−V1​8 VR3​4 ΩA+−V2​12 V

Use superposition to find the contribution IR2″ of V2 alone to the current IR2 through R2 in the direction of the arrow.

V1 = 8 VV2 = 12 VR1 = 10 ΩR2 = 6 ΩR3 = 4 Ω
IR2″ = A
3.Medium
R1​ = 8 ΩR3​ = 8 Ω+−V1​6 VR2​8 ΩAR4​5 Ω+−VR4​BIs​5 A

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

V1 = 6 VIs = 5 AR1 = 8 ΩR2 = 8 ΩR3 = 8 ΩR4 = 5 Ω
VR4 = V
4.Medium
R1​ = 3 ΩR3​ = 8 Ω+−V1​30 VR2​6 Ω−+VR2​AR4​2 ΩBIs​3 A

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

V1 = 30 VIs = 3 AR1 = 3 ΩR2 = 6 ΩR3 = 8 ΩR4 = 2 Ω
VR2 = V
5.Hard
R1​ = 25 ΩR2​ = 4 ΩR4​ = 15 Ω+−V1​6 VR3​20 ΩIR3​AIs​3 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 = 3 AR1 = 25 ΩR2 = 4 ΩR3 = 20 ΩR4 = 15 Ω
V2 = V
6.Hard
R1​ = 12 ΩIR1​R2​ = 5 ΩR4​ = 3 Ω+−V1​18 VR3​8 ΩAIs​5 AB−+V2​6 V

Use superposition to find the power PR1 absorbed by R1.

V1 = 18 VIs = 5 AV2 = 6 VR1 = 12 ΩR2 = 5 ΩR3 = 8 ΩR4 = 3 Ω
PR1 = W

Answer key

  1. 1. IR1 = 1.219 A
  2. 2. IR2″ = −1.355 A
  3. 3. VR4 = 18.53 V
  4. 4. VR2 = −17.67 V
  5. 5. V2 = 40.44 V
  6. 6. PR1 = 8.543 W

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