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 = 5 V and V₂ = 24 V. With both sources on, the current through the load resistor is I = 11.5 mA. With V₂ switched off (replaced by a short circuit) and V₁ unchanged, the load current is 4 mA. Find the load current I when V₁ is switched off and only V₂ = 24 V is active.

I = 11.5 mA (both sources)I = 4 mA (only V₁)

I = mA

2.Easy

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

V₁ = 24 VI_s = 2 AR₁ = 3 ΩR₂ = 8 Ω

I_R1 = A

3.Medium

Use superposition to find the voltage V_R4 across R₄ with the polarity shown.

V₁ = 30 VI_s = 2 AR₁ = 8 ΩR₂ = 20 ΩR₃ = 10 ΩR₄ = 3 Ω

V_R4 = V

4.Medium

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

V₁ = 6 VI_s = 2 AR₁ = 15 ΩR₂ = 12 ΩR₃ = 4 ΩR₄ = 15 Ω

I_R2 = A

5.Hard

Use superposition to find the power P_R2 absorbed by R₂.

V₁ = 30 VI_s = 4 AV₂ = 30 VR₁ = 2 ΩR₂ = 25 ΩR₃ = 5 ΩR₄ = 3 Ω

P_R2 = W

6.Hard

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

V₁ = 24 VI_s = 4 AV₂ = 6 VR₁ = 10 ΩR₂ = 8 ΩR₃ = 15 ΩR₄ = 25 Ω

I_R3 = A

Answer key

1. I = 7.5 mA
2. I_R1 = 0.7273 A
3. V_R4 = −8.473 V
4. I_R2 = −0.8139 A
5. P_R2 = 0.3393 W
6. I_R3 = 1.899 A

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