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

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

Options:

Correct Answer: 2

Solution:

The time constant T of a first-order system is the coefficient of s in the denominator. Here, T = 1/2 = 2.

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

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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