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What is the transfer function of a first-order system with a time constant of 5

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Question: What is the transfer function of a first-order system with a time constant of 5 seconds?

Options:

  1. 1/(5s + 1)
  2. 5/(s + 5)
  3. 1/(s + 5)
  4. 5/(5s + 1)

Correct Answer: 1/(5s + 1)

Solution: 

The standard form of a first-order transfer function is 1/(Ts + 1), where T is the time constant. Here, T = 5.

What is the transfer function of a first-order system with a time constant of 5

Practice Questions

Q1
What is the transfer function of a first-order system with a time constant of 5 seconds?
  1. 1/(5s + 1)
  2. 5/(s + 5)
  3. 1/(s + 5)
  4. 5/(5s + 1)

Questions & Step-by-Step Solutions

What is the transfer function of a first-order system with a time constant of 5 seconds?
  • Step 1: Understand that a first-order system can be represented 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, which is given as 5 seconds.
  • Step 4: Substitute the value of T into the standard form: 1/(5s + 1).
  • Step 5: The transfer function of the first-order system is now 1/(5s + 1).
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