Transfer function H(s) = 1/(s + 3)2 has poles

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  1. -3, 3
  2. -3
  3. -3, -3
  4. 3

Answer (Detailed Solution Below)

Option 3 : -3, -3
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Detailed Solution

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Concept:

Poles of a transfer function are the values of s that make the denominator zero.

\( H(s) = \frac{1}{(s + 3)^2} \)

Set the denominator equal to zero to find the poles.

Calculation:

\( (s + 3)^2 = 0 \Rightarrow s + 3 = 0 \Rightarrow s = -3 \)

Since the power is 2, it means the pole is of multiplicity 2 (repeated pole).

Hence the correct option is 3

 

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