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What is the time constant of a system with a transfer function G(s) = 1/(2s + 1)

Practice Questions

Q1
What is the time constant of a system with a transfer function G(s) = 1/(2s + 1)?
  1. 0.5
  2. 1
  3. 2
  4. 4

Questions & Step-by-Step Solutions

What is the time constant of a system with a transfer function G(s) = 1/(2s + 1)?
  • Step 1: Identify the transfer function given in the question, which is G(s) = 1/(2s + 1).
  • Step 2: Look at the denominator of the transfer function, which is 2s + 1.
  • Step 3: The time constant T of a first-order system is found by taking the coefficient of s in the denominator.
  • Step 4: In the expression 2s + 1, the coefficient of s is 2.
  • Step 5: The time constant T is calculated as T = 1/(coefficient of s). So, T = 1/2.
  • Step 6: Therefore, the time constant T is equal to 0.5.
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