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 = 24 V and V₂ = 5 V. With both sources on, the current through the load resistor is I = 33.5 mA. With V₂ switched off (replaced by a short circuit) and V₁ unchanged, the load current is 17.5 mA. Find the load current I when V₁ is raised to 48 V and V₂ stays at 5 V.

I = 33.5 mA (both sources)I = 17.5 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 = 18 VR₁ = 3 ΩR₂ = 3 ΩR₃ = 2 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 = 18 VR₁ = 20 ΩR₂ = 3 ΩR₃ = 3 ΩR₄ = 10 Ω

I_s = A

4.Medium

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

V₁ = 12 VI_s = 4 AR₁ = 2 ΩR₂ = 4 ΩR₃ = 2 ΩR₄ = 10 Ω

I_R3 = A

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 = 18 VI_s = 2.5 AR₁ = 20 ΩR₂ = 2 ΩR₃ = 25 ΩR₄ = 10 Ω

V₂ = V

6.Hard

Use superposition to find the power P_R4 absorbed by R₄.

V₁ = 36 VI_s = 3 AV₂ = 6 VR₁ = 3 ΩR₂ = 20 ΩR₃ = 12 ΩR₄ = 10 Ω

P_R4 = W

Answer key

1. I = 51 mA
2. I_R1 = 1.857 A
3. I_s = 0.2348 A
4. I_R3 = 2.4 A
5. V₂ = 14.2 V
6. P_R4 = 99.11 W

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