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_R3 through R₃ in the direction of the arrow.

V₁ = 15 VV₂ = 10 VR₁ = 5 ΩR₂ = 3 ΩR₃ = 8 Ω

I_R3 = A

2.Easy

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

V₁ = 8 VI_s = 1 AR₁ = 8 ΩR₂ = 5 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 = 5 V and I_s = 3 mA, I = 5.25 mA; with V_s = 8 V and I_s = 10 mA, I = 4.5 mA. Find the load current I when V_s = 4 V and I_s = 5 mA.

5 V, 3 mA → 5.25 mA8 V, 10 mA → 4.5 mAV_s = 4 V, I_s = 5 mA

I = mA

4.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 = 4 ΩR₂ = 12 ΩR₃ = 12 ΩR₄ = 3 Ω

I_s = 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 = 5 VI_s = 2 AR₁ = 25 ΩR₂ = 20 ΩR₃ = 30 ΩR₄ = 6 Ω

V₂ = V

6.Hard

Use superposition to find the voltage V_R2 across R₂ with the polarity shown.

V₁ = 36 VI_s = 3 AV₂ = 6 VR₁ = 15 ΩR₂ = 10 ΩR₃ = 8 ΩR₄ = 2 Ω

V_R2 = V

Answer key

1. I_R3 = 1.203 A
2. I_R1 = 1 A
3. I = 2.25 mA
4. I_s = 4.5 A
5. V₂ = 6.8 V
6. V_R2 = −7.273 V

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