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​ = 5 ΩR2​ = 8 Ω+−V1​12 VR3​12 Ω+−VR3​A+−V2​15 V

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

V1 = 12 VV2 = 15 VR1 = 5 ΩR2 = 8 ΩR3 = 12 Ω
VR3 = V
2.Easy
R1​ = 5 ΩR2​ = 8 ΩIR2​+−V1​10 VR3​3 ΩA+−V2​10 V

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

V1 = 10 VV2 = 10 VR1 = 5 ΩR2 = 8 ΩR3 = 3 Ω
IR2 = A
3.Medium
R1​ = 12 ΩR3​ = 4 Ω+−V1​12 VR2​3 ΩIR2​AR4​8 ΩBIs​5 A

Use superposition to find the power PR2 absorbed by R2.

V1 = 12 VIs = 5 AR1 = 12 ΩR2 = 3 ΩR3 = 4 ΩR4 = 8 Ω
PR2 = W
4.Medium
R1​ = 4 ΩIR1​R3​ = 5 Ω+−V1​24 VR2​8 ΩAR4​8 ΩBIs​1.5 A

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

V1 = 24 VIs = 1.5 AR1 = 4 ΩR2 = 8 ΩR3 = 5 ΩR4 = 8 Ω
IR1 = A
5.Hard
R1​ = 2 ΩIR1​R2​ = 3 ΩR4​ = 30 Ω+−V1​9 VR3​3 ΩAIs​5 AB+−V2​6 V

Use superposition to find the power PR1 absorbed by R1.

V1 = 9 VIs = 5 AV2 = 6 VR1 = 2 ΩR2 = 3 ΩR3 = 3 ΩR4 = 30 Ω
PR1 = W
6.Hard
linear circuitV1​V2​Is​IRL​

A linear resistive circuit contains three independent sources: V1, V2 and Is. The current I through a load is measured three times. With all sources at their normal values, I = 20.5 mA. With V1 doubled and the other two unchanged, I = 27 mA. With the direction of Is reversed and the other two unchanged, I = 11.5 mA. Find the load current I when V2 is switched off and V1 and Is have their normal values.

normal: I = 20.5 mA2·V1: I = 27 mA−Is: I = 11.5 mA
I = mA

Answer key

  1. 1. VR3 = 10.47 V
  2. 2. IR2 = −0.6329 A
  3. 3. PR2 = 25.04 W
  4. 4. IR1 = 3.191 A
  5. 5. PR1 = 1.418 W
  6. 6. I = 11 mA

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