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
R1​ = 2 Ω+−V1​15 VR2​8 ΩAIs​2 A

Use superposition to find the node voltage VA (measured from ground).

V1 = 15 VIs = 2 AR1 = 2 ΩR2 = 8 Ω
VA = V
2.Easy
R1​ = 5 ΩR2​ = 10 Ω+−V1​24 VR3​2 ΩIR3​A+−V2​8 V

Use superposition to find the current IR3 through R3 in the direction of the arrow.

V1 = 24 VV2 = 8 VR1 = 5 ΩR2 = 10 ΩR3 = 2 Ω
IR3 = A
3.Medium
R1​ = 3 ΩR3​ = 6 ΩIR3​+−V1​10 VR2​10 ΩAR4​15 ΩBIs​?

Find the value of the current source Is (direction as shown) that makes the current IR3 through R3 equal to zero.

V1 = 10 VR1 = 3 ΩR2 = 10 ΩR3 = 6 ΩR4 = 15 Ω
Is = A
4.Medium
linear circuitVs​Is​IRL​

A linear resistive circuit contains one voltage source Vs and one current source Is. The current I through a load resistor is measured twice: with Vs = 12 V and Is = 1 mA, I = 11.25 mA; with Vs = 4 V and Is = 8 mA, I = −2 mA. Find the load current I when Vs = 4 V and Is = 6 mA.

12 V, 1 mA → 11.25 mA4 V, 8 mA → −2 mAVs = 4 V, Is = 6 mA
I = mA
5.Hard
R1​ = 5 ΩR2​ = 2 ΩR4​ = 8 Ω+−V1​5 VR3​8 ΩIR3​AIs​5 AB+−V2​?

Find the value of the voltage source V2 (polarity as shown) that makes the current IR3 through R3 equal to zero.

V1 = 5 VIs = 5 AR1 = 5 ΩR2 = 2 ΩR3 = 8 ΩR4 = 8 Ω
V2 = V
6.Hard
R1​ = 3 ΩR2​ = 8 ΩIR2​R4​ = 30 Ω+−V1​6 VR3​3 ΩAIs​0.5 AB+−V2​36 V

Use superposition to find the current IR2 through R2 in the direction of the arrow.

V1 = 6 VIs = 0.5 AV2 = 36 VR1 = 3 ΩR2 = 8 ΩR3 = 3 ΩR4 = 30 Ω
IR2 = A

Answer key

  1. 1. VA = 15.2 V
  2. 2. IR3 = 3.5 A
  3. 3. Is = 0.5128 A
  4. 4. I = −0.5 mA
  5. 5. V2 = 30 V
  6. 6. IR2 = 1.215 A

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