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Given the differential equation model of a physical system, determine the time constant of the system:

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  1. 10
  2. 20
  3. 1.10
  4. 4

Answer (Detailed Solution Below)

Option 2 : 20
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Detailed Solution

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Concept:

Time constant 

Calculation:

Taking Laplace transform, we get

40 s X(s) + 2X(s) = 12(s)

Pole will be at -1/20. 

Time constant 

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