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 = 24 VV₂ = 8 VR₁ = 4 ΩR₂ = 4 ΩR₃ = 12 Ω

V_R3 = V

2.Easy

Use superposition to find the contribution I_R1″ of V₂ alone to the current I_R1 through R₁ in the direction of the arrow.

V₁ = 12 VV₂ = 12 VR₁ = 10 ΩR₂ = 6 ΩR₃ = 10 Ω

I_R1″ = A

3.Medium

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

V₁ = 18 VI_s = 2 AR₁ = 12 ΩR₂ = 20 ΩR₃ = 20 ΩR₄ = 12 Ω

I_R1 = A

4.Medium

Find the value of the current source I_s (direction as shown) that makes the current I_R3 through R₃ equal to zero.

V₁ = 18 VR₁ = 12 ΩR₂ = 6 ΩR₃ = 2 ΩR₄ = 8 Ω

I_s = A

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 = 23 mA. With V₁ doubled and the other two unchanged, I = 28 mA. With the direction of I_s reversed and the other two unchanged, I = 2 mA. Find the load current I when V₂ is switched off and V₁ and I_s have their normal values.

normal: I = 23 mA2·V₁: I = 28 mA−I_s: I = 2 mA

I = mA

6.Hard

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

V₁ = 36 VI_s = 6 AV₂ = 18 VR₁ = 6 ΩR₂ = 4 ΩR₃ = 2 ΩR₄ = 25 Ω

V_R2 = V

Answer key

1. V_R3 = 13.71 V
2. I_R1″ = −0.5455 A
3. I_R1 = 0.3608 A
4. I_s = 0.75 A
5. I = 15.5 mA
6. V_R2 = −20.85 V

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