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 = 12 VV₂ = 10 VR₁ = 3 ΩR₂ = 6 ΩR₃ = 10 Ω

V_R3 = V

2.Easy

Use superposition to find the current I_R1 through R₁ in the direction of the arrow.

V₁ = 12 VV₂ = 24 VR₁ = 3 ΩR₂ = 4 ΩR₃ = 3 Ω

I_R1 = A

3.Medium

Use superposition to find the power P_R4 absorbed by R₄.

V₁ = 12 VI_s = 1.5 AR₁ = 8 ΩR₂ = 8 ΩR₃ = 5 ΩR₄ = 2 Ω

P_R4 = W

4.Medium

Use superposition to find the power P_R1 absorbed by R₁.

V₁ = 15 VI_s = 5 AR₁ = 12 ΩR₂ = 12 ΩR₃ = 10 ΩR₄ = 10 Ω

P_R1 = W

5.Hard

Use superposition to find the power P_R3 absorbed by R₃.

V₁ = 18 VI_s = 2.5 AV₂ = 5 VR₁ = 3 ΩR₂ = 12 ΩR₃ = 25 ΩR₄ = 3 Ω

P_R3 = W

6.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 = 21.5 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 = 17.5 mA. Find the load current I when V₂ is switched off and V₁ and I_s have their normal values.

normal: I = 21.5 mA2·V₁: I = 31 mA−I_s: I = 17.5 mA

I = mA

Answer key

1. V_R3 = 9.444 V
2. I_R1 = 0.3636 A
3. P_R4 = 6.285 W
4. P_R1 = 35.95 W
5. P_R3 = 9.648 W
6. I = 11.5 mA

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