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.

New worksheet Practise online with hints

For teachers: free to print, copy and use in class. Every new worksheet has new values and its own answer key. A link to ExamProblems on your course page is appreciated.

Name: ____________________ Date: ____________

1.Easy

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

V₁ = 18 VV₂ = 6 VR₁ = 3 ΩR₂ = 8 ΩR₃ = 3 Ω

I_R2 = A

2.Easy

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

V₁ = 12 VI_s = 3 AR₁ = 3 ΩR₂ = 12 Ω

I_R1 = A

3.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 = 4 V and I_s = 2 mA, I = 7.2 mA; with V_s = 8 V and I_s = 8 mA, I = 12.8 mA. Find the load current I when V_s = 5 V and I_s = 5 mA.

4 V, 2 mA → 7.2 mA8 V, 8 mA → 12.8 mAV_s = 5 V, I_s = 5 mA

I = mA

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 = 8 V and I_s = 4 mA, I = 10.8 mA; with V_s = 20 V and I_s = 6 mA, I = 25.8 mA. Find the load current I when V_s = 20 V and I_s = 3 mA.

8 V, 4 mA → 10.8 mA20 V, 6 mA → 25.8 mAV_s = 20 V, I_s = 3 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 = 2 AV₂ = 18 VR₁ = 12 ΩR₂ = 30 ΩR₃ = 15 ΩR₄ = 6 Ω

I_R4 = A

6.Hard

Use superposition to find the power P_R4 absorbed by R₄.

V₁ = 6 VI_s = 0.5 AV₂ = 5 VR₁ = 5 ΩR₂ = 25 ΩR₃ = 8 ΩR₄ = 15 Ω

P_R4 = W

Answer key

1. I_R2 = 0.3158 A
2. I_R1 = −1.6 A
3. I = 8 mA
4. I = 24.9 mA
5. I_R4 = 1.414 A
6. P_R4 = 4.177 W

Full step-by-step solutions: practise this topic on examproblems.com.