GATE EE 2022 Question Paper (05-Feb-2022) (Shift 2)

A 20 MVA, 11.2 kV, 4-pole, 50 Hz alternator has an inertia constant of 15 MJ/MVA. If the input and output powers of the alternator are 15 MW and 10 MW, respectively, the angular acceleration in mechanical degree/s² is __________. (round off to nearest integer)

Let $\vec{\mathrm{E}}(\mathrm{x},\mathrm{y},\mathrm{z})=2{\mathrm{x}}^2\hat{\mathrm{i}}+5y\hat{\mathrm{j}}+3z\hat{\mathrm{k}}$ The value of ∭${}_V$$(\vec{\nabla }.\vec{E})dV$, where V is the volume enclosed by the unit cube defined by 0 ≤ x ≤ 1, 0 ≤ y ≤ 1, and 0 ≤ z ≤ 1 is

A 3-phase grid-connected voltage source converter with DC link voltage of 1000 V is switched using sinusoidal Pulse Width Modulation (PWM) technique. If the grid phase current is 10 A and the 3-phase complex power supplied by the converter is given by (−4000 − j3000) VA, then the modulation index used in sinusoidal PWM is ___________. (round off to two decimal places)

The steady state output (Vₒᵤₜ), of the circuit shown below, will

For the ideal AC-DC rectifier circuit shown in the figure below, the load current magnitude is I${}_{dc}$ = 15 A and is ripple free. The thyristors are fired with a delay angle of 45°. The amplitude of the fundamental component of the source current, in amperes, is __________. (round off to two decimal places)