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​ = 12 ΩR2​ = 6 ΩIR2​+−V1​20 VR3​5 ΩA+−V2​8 V

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

V1 = 20 VV2 = 8 VR1 = 12 ΩR2 = 6 ΩR3 = 5 Ω
IR2 = A
2.Easy
linear circuitV1​ = 24 VV2​ = 15 VIRL​

A linear resistive circuit contains two independent voltage sources, V1 = 24 V and V2 = 15 V. With both sources on, the current through the load resistor is I = 9.5 mA. With V2 switched off (replaced by a short circuit) and V1 unchanged, the load current is 2 mA. Find the load current I when V1 is switched off and only V2 = 15 V is active.

I = 9.5 mA (both sources)I = 2 mA (only V1)
I = mA
3.Medium
R1​ = 15 ΩR3​ = 5 ΩIR3​+−V1​10 VR2​5 ΩAR4​8 ΩBIs​2.5 A

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

V1 = 10 VIs = 2.5 AR1 = 15 ΩR2 = 5 ΩR3 = 5 ΩR4 = 8 Ω
IR3 = A
4.Medium
R1​ = 4 ΩIR1​R3​ = 15 Ω+−V1​18 VR2​6 ΩAR4​15 ΩBIs​1.5 A

Use superposition to find the current IR1 through R1 in the direction of the arrow.

V1 = 18 VIs = 1.5 AR1 = 4 ΩR2 = 6 ΩR3 = 15 ΩR4 = 15 Ω
IR1 = A
5.Hard
R1​ = 15 ΩR2​ = 12 ΩR4​ = 4 Ω+−V1​5 VR3​2 ΩIR3​AIs​2 AB−+V2​10 V

Use superposition to find the power PR3 absorbed by R3.

V1 = 5 VIs = 2 AV2 = 10 VR1 = 15 ΩR2 = 12 ΩR3 = 2 ΩR4 = 4 Ω
PR3 = W
6.Hard
R1​ = 10 ΩR2​ = 5 ΩR4​ = 12 ΩIR4​+−V1​12 VR3​20 ΩAIs​5 AB+−V2​5 V

Use superposition to find the current IR4 through R4 in the direction of the arrow.

V1 = 12 VIs = 5 AV2 = 5 VR1 = 10 ΩR2 = 5 ΩR3 = 20 ΩR4 = 12 Ω
IR4 = A

Answer key

  1. 1. IR2 = −0.2222 A
  2. 2. I = 7.5 mA
  3. 3. IR3 = −1.045 A
  4. 4. IR1 = −2.417 A
  5. 5. PR3 = 0.7916 W
  6. 6. IR4 = 2.592 A

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