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​ = 5 Ω+−V1​8 VR2​6 ΩAIs​3 A

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

V1 = 8 VIs = 3 AR1 = 5 ΩR2 = 6 Ω
VA = V
2.Easy
linear circuitV1​ = 20 VV2​ = 10 VIRL​

A linear resistive circuit contains two independent voltage sources, V1 = 20 V and V2 = 10 V. With both sources on, the current through the load resistor is I = 29 mA. With V2 switched off (replaced by a short circuit) and V1 unchanged, the load current is 17 mA. Find the load current I when V1 is raised to 40 V and V2 stays at 10 V.

I = 29 mA (both sources)I = 17 mA (only V1)
I = mA
3.Medium
R1​ = 10 ΩR3​ = 8 Ω+−V1​15 VR2​8 ΩAR4​5 Ω+−VR4​BIs​2.5 A

Use superposition to find the voltage VR4 across R4 with the polarity shown.

V1 = 15 VIs = 2.5 AR1 = 10 ΩR2 = 8 ΩR3 = 8 ΩR4 = 5 Ω
VR4 = V
4.Medium
R1​ = 6 ΩR3​ = 15 ΩIR3​+−V1​15 VR2​10 ΩAR4​6 ΩBIs​5 A

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

V1 = 15 VIs = 5 AR1 = 6 ΩR2 = 10 ΩR3 = 15 ΩR4 = 6 Ω
IR3 = A
5.Hard
R1​ = 6 ΩR2​ = 6 ΩIR2​R4​ = 5 Ω+−V1​5 VR3​2 ΩAIs​2.5 AB−+V2​9 V

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

V1 = 5 VIs = 2.5 AV2 = 9 VR1 = 6 ΩR2 = 6 ΩR3 = 2 ΩR4 = 5 Ω
IR2 = A
6.Hard
R1​ = 12 ΩR2​ = 3 Ω+−VR2​R4​ = 30 Ω+−V1​36 VR3​10 ΩAIs​2 AB+−V2​30 V

Use superposition to find the voltage VR2 across R2 with the polarity shown.

V1 = 36 VIs = 2 AV2 = 30 VR1 = 12 ΩR2 = 3 ΩR3 = 10 ΩR4 = 30 Ω
VR2 = V

Answer key

  1. 1. VA = 12.55 V
  2. 2. I = 46 mA
  3. 3. VR4 = 10.83 V
  4. 4. IR3 = 0.8333 A
  5. 5. IR2 = 0.18 A
  6. 6. VR2 = −5.745 V

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