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 = 15 VI_s = 3 AR₁ = 4 ΩR₂ = 4 Ω

I_R2 = A

2.Easy

A linear resistive circuit contains two independent voltage sources, V₁ = 15 V and V₂ = 10 V. With both sources on, the current through the load resistor is I = 20.5 mA. With V₂ switched off (replaced by a short circuit) and V₁ unchanged, the load current is 14.5 mA. Find the load current I when V₁ is switched off and only V₂ = 10 V is active.

I = 20.5 mA (both sources)I = 14.5 mA (only V₁)

I = mA

3.Medium

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

V₁ = 12 VI_s = 3 AR₁ = 4 ΩR₂ = 8 ΩR₃ = 12 ΩR₄ = 10 Ω

V_R2 = V

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 = 9 VR₁ = 5 ΩR₂ = 3 ΩR₃ = 3 ΩR₄ = 10 Ω

I_s = A

5.Hard

Use superposition to find the power P_R2 absorbed by R₂.

V₁ = 15 VI_s = 1.5 AV₂ = 6 VR₁ = 12 ΩR₂ = 8 ΩR₃ = 5 ΩR₄ = 12 Ω

P_R2 = W

6.Hard

Use superposition to find the current I_R4 through R₄ in the direction of the arrow.

V₁ = 30 VI_s = 3 AV₂ = 36 VR₁ = 10 ΩR₂ = 25 ΩR₃ = 10 ΩR₄ = 5 Ω

I_R4 = A

Answer key

1. I_R2 = 3.375 A
2. I = 6 mA
3. V_R2 = 10.38 V
4. I_s = 0.3375 A
5. P_R2 = 0.8321 W
6. I_R4 = −4.029 A

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