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 ΩIR1​R2​ = 6 Ω+−V1​10 VR3​5 ΩA+−V2​8 V

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

V1 = 10 VV2 = 8 VR1 = 2 ΩR2 = 6 ΩR3 = 5 Ω
IR1 = A
2.Easy
R1​ = 12 ΩR2​ = 5 Ω+−V1​18 VR3​4 Ω+−VR3​A+−V2​24 V

Use superposition to find the voltage VR3 across R3 with the polarity shown.

V1 = 18 VV2 = 24 VR1 = 12 ΩR2 = 5 ΩR3 = 4 Ω
VR3 = V
3.Medium
R1​ = 2 ΩR3​ = 10 Ω+−V1​18 VR2​3 ΩAR4​10 Ω+−VR4​BIs​4 A

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

V1 = 18 VIs = 4 AR1 = 2 ΩR2 = 3 ΩR3 = 10 ΩR4 = 10 Ω
VR4 = V
4.Medium
R1​ = 4 ΩR3​ = 2 ΩIR3​+−V1​10 VR2​8 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 = 4 ΩR2 = 8 ΩR3 = 2 ΩR4 = 15 Ω
Is = A
5.Hard
R1​ = 6 ΩR2​ = 4 Ω+−VR2​R4​ = 30 Ω+−V1​24 VR3​20 ΩAIs​4 AB+−V2​30 V

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

V1 = 24 VIs = 4 AV2 = 30 VR1 = 6 ΩR2 = 4 ΩR3 = 20 ΩR4 = 30 Ω
VR2 = V
6.Hard
linear circuitV1​V2​Is​IRL​

A linear resistive circuit contains three independent sources: V1, V2 and Is. The current I through a load is measured three times. With all sources at their normal values, I = −7 mA. With V1 doubled and the other two unchanged, I = −4.5 mA. With the direction of Is reversed and the other two unchanged, I = 14 mA. Find the load current I when V2 is switched off and V1 and Is have their normal values.

normal: I = −7 mA2·V1: I = −4.5 mA−Is: I = 14 mA
I = mA

Answer key

  1. 1. IR1 = 1.346 A
  2. 2. VR3 = 11.81 V
  3. 3. VR4 = 26.23 V
  4. 4. Is = 0.4444 A
  5. 5. VR2 = 11.24 V
  6. 6. I = −8 mA

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