GATE 2015 EC – Question 57
A lead compensator network includes a parallel combination of $R$ and $C$ in the feed-forward path. If the transfer function of the compensator is $G_c(s) = \frac{s + 2}{s + 4}$, the value of $RC$ is ________.
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Correct answer: 0.49 to 0.51
Explanation
A parallel $R$ and $C$ in the forward path has zero at $s = -\frac{1}{RC}$. Matching this with the zero of the compensator at $s = -2$ gives $\frac{1}{RC} = 2$, so $RC = 0.5$.