GATE EE 2023 Question Paper (05-Feb-2023) (Shift 1)

For a given vector w = [1 2 3]${}^T$ , the vector normal to the plane defined by w${}^T$ x = 1 is

For the block diagram shown in the figure, the transfer function $\frac{\mathrm{Y}(\mathrm{s})}{\mathrm{R}(\mathrm{s})}$ is

In the Nyquist plot of the open-loop transfer function

$\mathrm{G}(\mathrm{s})\mathrm{H}(\mathrm{s})=\frac{3s+5}{\mathrm{s}-1}$

corresponding to the feedback loop shown in the figure, the infinite semi-circular arc of the Nyquist contour in s-plane is mapped into a point at

Consider a unity-gain negative feedback system consisting of the plant G(s) (given below) and a proportional-integral controller. Let the proportional gain and integral gain be 3 and 1, respectively. For a unit step reference input, the final values of the controller output and the plant output, respectively, are

$\mathrm{G}(\mathrm{s})=\frac{1}{\mathrm{s}-1}$

The following columns present various modes of induction machine operation and the ranges of slipThe correct matching between the elements in column A with those of column B is