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_R1 through R₁ in the direction of the arrow.

V₁ = 10 VI_s = 3 AR₁ = 4 ΩR₂ = 3 Ω

I_R1 = A

2.Easy

Use superposition to find the contribution I_R2″ of V₂ alone to the current I_R2 through R₂ in the direction of the arrow.

V₁ = 10 VV₂ = 20 VR₁ = 8 ΩR₂ = 4 ΩR₃ = 3 Ω

I_R2″ = A

3.Medium

A linear resistive circuit contains one voltage source V_s and one current source I_s. The current I through a load resistor is measured twice: with V_s = 20 V and I_s = 2 mA, I = 24.5 mA; with V_s = 5 V and I_s = 4 mA, I = 7 mA. Find the load current I when V_s = 2 V and I_s = 1 mA.

20 V, 2 mA → 24.5 mA5 V, 4 mA → 7 mAV_s = 2 V, I_s = 1 mA

I = mA

4.Medium

A linear resistive circuit contains one voltage source V_s and one current source I_s. The current I through a load resistor is measured twice: with V_s = 10 V and I_s = 10 mA, I = 10 mA; with V_s = 8 V and I_s = 2 mA, I = 5 mA. Find the load current I when V_s = 10 V and I_s = 8 mA.

10 V, 10 mA → 10 mA8 V, 2 mA → 5 mAV_s = 10 V, I_s = 8 mA

I = mA

5.Hard

Find the value of the voltage source V₂ (polarity as shown) that makes the current I_R3 through R₃ equal to zero.

V₁ = 15 VI_s = 1.5 AR₁ = 30 ΩR₂ = 15 ΩR₃ = 2 ΩR₄ = 30 Ω

V₂ = V

6.Hard

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

V₁ = 10 VI_s = 1.5 AV₂ = 5 VR₁ = 10 ΩR₂ = 12 ΩR₃ = 8 ΩR₄ = 15 Ω

V_R2 = V

Answer key

1. I_R1 = 0.1429 A
2. I_R2″ = −3.235 A
3. I = 2.65 mA
4. I = 9 mA
5. V₂ = 22.5 V
6. V_R2 = 4.982 V

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