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The open-loop transfer function of a dc motor is given as $\frac{\omega (s)}{V_a(s)}=\frac{10}{1+10s}$.When connected in
feedback as shown below, the approximate value of $K_a$ that will reduce the time constant of the
closed loop system by one hundred times as compared to that of the open-loop system is

  1. $1$
  2. $5$
  3. $10$
  4. $100$
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