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

Let R be a region in the first quadrant of the xy plane enclosed by a closed curve C considered in counter-clockwise direction. Which of the following expressions does not represent the area of the region R?

A single-phase full-bridge diode rectifier feeds a resistive load of 50 Ω from a 200 V, 50 Hz single phase AC supply. If the diodes are ideal, then the active power, in watts, drawn by the load is __________. (round off to nearest integer).

The discrete-time Fourier series representation of a signal x[n] with period N is written as $\mathrm{x}[\mathrm{n}]={\sum }_{\mathrm{k}=0}^{\mathrm{N}-1}{\mathrm{a}}_{\mathrm{k}}{\mathrm{e}}^{\mathrm{j}(2kn\pi /N)}$. A discrete-time periodic signal with period N = 3, has the non-zero Fourier series coefficients: a${}_{-3}$ = 2 and a₄ = 1. The signal is

The output impedance of a non-ideal operational amplifier is denoted by Z${}_{out.}$ The variation in the magnitude of Zₒᵤₜ with increasing frequency, f, in the circuit shown below, is best represented by

If only 5% of the supplied power to a cable reaches the output terminal, the power loss in the cable, in decibels, is _________. (round off to nearest integer)