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Control Systems

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Polar plot of...

Question

Polar plot of a lead compensator is given by

Maximum phase lead introduced by compensator is _____ degree.
30

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Solution

The correct option is A 30
Redrawing the polar plot, we get

From Geometry,
$sin ϕ_{m} = \frac{A C}{O C} = \frac{1 / 3}{2 / 3}$

$ϕ_{m} = {sin}^{- 1} (0.5)$
= 30°

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