GATE EE 2010 Question Paper (14-Feb-2010) (Shift 1)

The frequency response of $G\left(s\right)=\frac{1}{s\left(s+1\right)\left(s+2\right)}$ plotted in the complex G(jω) plane (for 0 < ω < ∞) is

Given that the op-amp is ideal, the output voltage V ₀ is

The characteristic equation of a closed-loop system is

s(s + 1)(s + 3) + K(s + 2) = 0, K > 0

Which of the following statements true?

A 50 Hz synchronous generator is initially connected to a long lossless transmission line which is open circuited at the receiving end. With the field voltage held constant, the generator is disconnected from the transmission line. Which of the following may be said about the steady state terminal voltage and field current of the generator?

A separately excited dc machine is coupled to a 50Hz, three phase, 4-pole induction machine. The dc machine is energized first and the machine rotate at 1600 rpm. Subsequently the induction machine is also connected to a 50 Hz, three phase source, the phase sequence being consistent with the direction of rotation. In steady state