What is the time constant of a system with a transfer function G(s) = 5/(2s + 5)

Practice Questions

Q1
What is the time constant of a system with a transfer function G(s) = 5/(2s + 5)?
  1. 0.4
  2. 2
  3. 5
  4. 10

Questions & Step-by-Step Solutions

What is the time constant of a system with a transfer function G(s) = 5/(2s + 5)?
  • Step 1: Identify the transfer function G(s) = 5/(2s + 5).
  • Step 2: Look at the denominator of the transfer function, which is 2s + 5.
  • Step 3: Find the coefficient of s in the denominator. Here, the coefficient is 2.
  • Step 4: The time constant T is calculated as T = 5 divided by the coefficient of s.
  • Step 5: Substitute the coefficient into the formula: T = 5/2.
  • Step 6: Calculate the value: T = 2.5.
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