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

Use superposition to find the voltage V_R3 across R₃ with the polarity shown.

V₁ = 20 VV₂ = 18 VR₁ = 4 ΩR₂ = 10 ΩR₃ = 6 Ω

V_R3 = V

2.Easy

Use superposition to find the current I_R2 through R₂ in the direction of the arrow.

V₁ = 6 VV₂ = 20 VR₁ = 2 ΩR₂ = 5 ΩR₃ = 2 Ω

I_R2 = A

3.Medium

Use superposition to find the power P_R2 absorbed by R₂.

V₁ = 18 VI_s = 3 AR₁ = 5 ΩR₂ = 4 ΩR₃ = 12 ΩR₄ = 4 Ω

P_R2 = W

4.Medium

Use superposition to find the power P_R3 absorbed by R₃.

V₁ = 9 VI_s = 2.5 AR₁ = 6 ΩR₂ = 20 ΩR₃ = 10 ΩR₄ = 8 Ω

P_R3 = W

5.Hard

A linear resistive circuit contains three independent sources: V₁, V₂ and I_s. The current I through a load is measured three times. With all sources at their normal values, I = 21 mA. With V₁ doubled and the other two unchanged, I = 31 mA. With the direction of I_s reversed and the other two unchanged, I = 12 mA. Find the load current I when V₂ is switched off and V₁ and I_s have their normal values.

normal: I = 21 mA2·V₁: I = 31 mA−I_s: I = 12 mA

I = mA

6.Hard

Use superposition to find the voltage V_R2 across R₂ with the polarity shown.

V₁ = 15 VI_s = 4 AV₂ = 24 VR₁ = 20 ΩR₂ = 2 ΩR₃ = 6 ΩR₄ = 5 Ω

V_R2 = V

Answer key

1. V_R3 = 13.16 V
2. I_R2 = −2.833 A
3. P_R2 = 7.731 W
4. P_R3 = 14.17 W
5. I = 14.5 mA
6. V_R2 = 1.285 V

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