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

The voltage at the input of an AC-DC rectifier is given by v(𝑡) = 230√2 sin 𝜔𝑡 where 𝜔 = 2𝜋 × 50 rad/s. The input current drawn by the rectifier is given by

$\mathrm{i}(\mathrm{t})=10\sin \left(\omega \mathrm{t}-\frac{\pi }{3}\right)+4\sin \left(3\omega \mathrm{t}-\frac{\pi }{6}\right)+3\sin \left(5\omega \mathrm{t}-\frac{\pi }{3}\right)$

The input power factor, (rounded off to two decimal places), is, __________ lag.

The geometric mean radius of a conductor, having four equal strands with each strand of radius ‘𝑟’, as shown in the figure below, is

If the magnetic field intensity (H) in a conducting region is given by the expression,

$\mathrm{H}={\mathrm{x}}^2\hat{\mathrm{i}}+{\mathrm{x}}^2{\mathrm{y}}^2\hat{\mathrm{j}}+{\mathrm{x}}^2{\mathrm{y}}^2{\mathrm{z}}^2\hat{\mathrm{k}}$ A/m. The magnitude of the current density, in A/m², at x = 1 m, y = 2 m, and z = 1 m, is

A 3-phase, 415 V, 4-pole, 50 Hz induction motor draws 5 times the rated current at rated voltage at starting. It is required to bring down the starting current from the supply to 2 times of the rated current using a 3-phase autotransformer. If the magnetizing impedance of the induction motor and no load current of the autotransformer is neglected, then the transformation ratio of the autotransformer is given by ____________. (round off to two decimal places).

A charger supplies 100 W at 20 V for charging the battery of a laptop. The power devices, used in the converter inside the charger, operate at a switching frequency of 200 kHz. Which power device is best suited for this purpose?