How Do You Determine the DC Gain of a Second Order Transfer Function?

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SUMMARY

The DC gain of a second-order transfer function is determined by evaluating the transfer function at s=0. This involves substituting "0" for "s" in the transfer function equation. The discussion clarifies that taking the limit as s approaches infinity is not relevant for calculating DC gain. The correct approach is to directly substitute s=0 to obtain the DC gain value.

PREREQUISITES
  • Understanding of transfer functions in control systems
  • Familiarity with the concept of DC gain
  • Basic knowledge of Laplace transforms
  • Experience with second-order system dynamics
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Control engineers, system analysts, and students studying control systems who need to understand the calculation of DC gain in second-order transfer functions.

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What steps I have to follow to find the DC gain of the second order system with a transfer function ?

Putting "0" where I see "s" or taking the limit as "s" goes to infinite ?
 
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s=0 because s=j*2pi*F.
 

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