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 current I_R2 through R₂ in the direction of the arrow.

V₁ = 8 VV₂ = 24 VR₁ = 10 ΩR₂ = 2 ΩR₃ = 6 Ω

I_R2 = A

2.Easy

Use superposition to find the contribution I_R1′ of V₁ alone to the current I_R1 through R₁ in the direction of the arrow.

V₁ = 15 VV₂ = 6 VR₁ = 5 ΩR₂ = 2 ΩR₃ = 3 Ω

I_R1′ = A

3.Medium

Use superposition to find the voltage V_R4 across R₄ with the polarity shown.

V₁ = 10 VI_s = 3 AR₁ = 4 ΩR₂ = 6 ΩR₃ = 3 ΩR₄ = 5 Ω

V_R4 = V

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 = 15 VR₁ = 10 ΩR₂ = 3 ΩR₃ = 10 ΩR₄ = 15 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 = −0.5 mA. With V₁ doubled and the other two unchanged, I = −9.5 mA. With the direction of I_s reversed and the other two unchanged, I = −13.5 mA. Find the load current I when V₂ is switched off and V₁ and I_s have their normal values.

normal: I = −0.5 mA2·V₁: I = −9.5 mA−I_s: I = −13.5 mA

I = mA

6.Hard

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

V₁ = 12 VI_s = 5 AV₂ = 36 VR₁ = 25 ΩR₂ = 8 ΩR₃ = 30 ΩR₄ = 3 Ω

V_R3 = V

Answer key

1. I_R2 = −3.652 A
2. I_R1′ = 2.419 A
3. V_R4 = −4.904 V
4. I_s = 0.2308 A
5. I = −2.5 mA
6. V_R3 = 31.15 V

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