GATE EE 2019 Question Paper (09-Feb-2019) (Shift 2)

A three-phase synchronous motor draws 200 A from the line at unity power factor at rated load. Considering the same line voltage and load, the line current at a power factor of 0.5 leading is

In the circuit shown below, the switch is closed at t = 0. The value of θ in degrees which will give the maximum value of DC offset of the current at the time of switching is

The output response of a system is denoted as y(t), and its Laplace transform is given by $Y\left(s\right)=\frac{10}{s\left(s^2+s+100\sqrt{2}\right)}$. The steady state value of y(t) is

The open loop transfer function of a unity feedback system is given by $G\left(s\right)=\frac{\pi e^{-0.25s}}{s}$. In G(s) plane, the Nyquist plot of G(s) passes through the negative real axis at the point

The characteristic equation of a linear time-invariant (LTI) system is given by Δ(s) = s⁴ + 3s³ + 3s² + s + k = 0. The system is BIBO stable if