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

Consider an ideal full-bridge single-phase DC-AC inverter with a DC bus voltage magnitude of 1000 V. The inverter output voltage v(t) shown below, is obtained when diagonal switches of the inverter are switched with 50 % duty cycle. The inverter feeds a load with a sinusoidal current given by, $\mathrm{i}(\mathrm{t})=10\sin \left(\omega \mathrm{t}-\frac{\pi }{3}\right)$ A, where $\omega =\frac{2\pi }{\mathrm{T}}$. The active power, in watts, delivered to the load is _________. (round off to nearest integer)

The steady state current flowing through the inductor of a DC-DC buck boost converter is given in the figure below. If the peak-to-peak ripple in the output voltage of the converter is 1 V, then the value of the output capacitor, in µF, is ___________. (round off to nearest integer)

A long conducting cylinder having a radius ‘b’ is placed along the z axis. The current density is J = Jₐr³ẑ for the region r < b where r is the distance in the radial direction. The magnetic field intensity (H) for the region inside the conductor (i.e. for r < b) is

The type of single-phase induction motor, expected to have the maximum power factor during steady state running condition, is

For the circuit shown below with ideal diodes, the output will be