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

A linear resistive circuit contains two independent voltage sources, V₁ = 9 V and V₂ = 24 V. With both sources on, the current through the load resistor is I = 16.5 mA. With V₂ switched off (replaced by a short circuit) and V₁ unchanged, the load current is 9.5 mA. Find the load current I when V₁ is switched off and only V₂ = 24 V is active.

I = 16.5 mA (both sources)I = 9.5 mA (only V₁)

I = mA

2.Easy

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

V₁ = 15 VV₂ = 15 VR₁ = 4 ΩR₂ = 8 ΩR₃ = 6 Ω

I_R1 = A

3.Medium

Use superposition to find the power P_R4 absorbed by R₄.

V₁ = 30 VI_s = 1.5 AR₁ = 2 ΩR₂ = 4 ΩR₃ = 5 ΩR₄ = 3 Ω

P_R4 = W

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 = 5 V and I_s = 2 mA, I = 1.75 mA; with V_s = 15 V and I_s = 1 mA, I = 4 mA. Find the load current I when V_s = 10 V and I_s = 1 mA.

5 V, 2 mA → 1.75 mA15 V, 1 mA → 4 mAV_s = 10 V, I_s = 1 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 = 24 VI_s = 2 AR₁ = 30 ΩR₂ = 20 ΩR₃ = 10 ΩR₄ = 25 Ω

V₂ = V

6.Hard

Use superposition to find the current I_R2 through R₂ in the direction of the arrow.

V₁ = 12 VI_s = 3 AV₂ = 36 VR₁ = 20 ΩR₂ = 3 ΩR₃ = 25 ΩR₄ = 20 Ω

I_R2 = A

Answer key

1. I = 7 mA
2. I_R1 = 1.154 A
3. P_R4 = 3.797 W
4. I = 2.75 mA
5. V₂ = 14 V
6. I_R2 = −2.619 A

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