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 = 20 VI_s = 3 AR₁ = 3 ΩR₂ = 8 Ω

I_R2 = A

2.Easy

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

V₁ = 24 VV₂ = 15 VR₁ = 8 ΩR₂ = 2 ΩR₃ = 8 Ω

I_R1 = 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 = 8 ΩR₂ = 5 ΩR₃ = 4 ΩR₄ = 6 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 = 4 mA, I = 12 mA; with V_s = 6 V and I_s = 6 mA, I = 1.5 mA. Find the load current I when V_s = 20 V and I_s = 5 mA.

15 V, 4 mA → 12 mA6 V, 6 mA → 1.5 mAV_s = 20 V, I_s = 5 mA

I = mA

5.Hard

Use superposition to find the current I_R4 through R₄ in the direction of the arrow.

V₁ = 9 VI_s = 6 AV₂ = 18 VR₁ = 10 ΩR₂ = 20 ΩR₃ = 10 ΩR₄ = 10 Ω

I_R4 = A

6.Hard

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

V₁ = 5 VI_s = 5 AV₂ = 15 VR₁ = 2 ΩR₂ = 5 ΩR₃ = 8 ΩR₄ = 20 Ω

I_R3 = A

Answer key

1. I_R2 = 1 A
2. I_R1 = 1.25 A
3. I_s = 0.641 A
4. I = 16.25 mA
5. I_R4 = 3.9 A
6. I_R3 = 0.1692 A

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