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 = 12 VI_s = 1 AR₁ = 6 ΩR₂ = 10 Ω

I_R2 = A

2.Easy

Use superposition to find the current I_R3 through R₃ in the direction of the arrow.

V₁ = 18 VV₂ = 12 VR₁ = 6 ΩR₂ = 4 ΩR₃ = 6 Ω

I_R3 = A

3.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 = 10 VR₁ = 5 ΩR₂ = 20 ΩR₃ = 20 ΩR₄ = 4 Ω

I_s = A

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 = 15 V and I_s = 5 mA, I = 16.5 mA; with V_s = 4 V and I_s = 2 mA, I = 4.6 mA. Find the load current I when V_s = 15 V and I_s = 3 mA.

15 V, 5 mA → 16.5 mA4 V, 2 mA → 4.6 mAV_s = 15 V, I_s = 3 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 = 36 VI_s = 3 AR₁ = 30 ΩR₂ = 6 ΩR₃ = 2 ΩR₄ = 12 Ω

V₂ = V

6.Hard

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

V₁ = 18 VI_s = 2.5 AV₂ = 12 VR₁ = 30 ΩR₂ = 30 ΩR₃ = 30 ΩR₄ = 3 Ω

V_R3 = V

Answer key

1. I_R2 = 1.125 A
2. I_R3 = 1.714 A
3. I_s = 2 A
4. I = 15.9 mA
5. V₂ = 14.4 V
6. V_R3 = −12.28 V

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