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What is the transfer function of a first-order system with a time constant of 2

Practice Questions

Q1
What is the transfer function of a first-order system with a time constant of 2 seconds?
  1. 1/(2s + 1)
  2. 2/(s + 2)
  3. 1/(s + 2)
  4. 2/(2s + 1)

Questions & Step-by-Step Solutions

What is the transfer function of a first-order system with a time constant of 2 seconds?
  • Step 1: Understand that a first-order system can be described by a transfer function.
  • Step 2: Know the standard form of a first-order transfer function, which is 1/(Ts + 1).
  • Step 3: Identify the time constant T. In this case, T is given as 2 seconds.
  • Step 4: Substitute the value of T into the standard form. This gives us 1/(2s + 1).
  • Step 5: The final transfer function for the first-order system with a time constant of 2 seconds is 1/(2s + 1).
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