GATE EE 2022

Paper was held on
Sat, Feb 5, 2022 9:00 AM

## GATE EE

For an ideal MOSFET biased in saturation, the magnitude of the small signal current gain for a common drain amplifier is

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

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

View Question
The output impedance of a non-ideal operational amplifier is denoted by Zout. The variation in the magnitude of Zout wit

View Question
The current gain (Iout/Iin) in the circuit with an ideal current amplifier given below is

View Question
The Bode magnitude plot of a first order stable system is constant with frequency. The asymptotic value of the high freq

View Question
The open loop transfer function of a unity gain negative feedback system is given by $$G(s) = {k \over {{s^2} + 4s - 5}}

View Question
An LTI system is shown in the figure where $$G(s) = {{100} \over {{s^2} + 0.1s + 100}}$$. The steady state output of the

View Question
The open loop transfer function of a unity gain negative feedback system is given as
$$G(s) = {1 \over {s(s + 1)}}$$
The

View Question
The damping ratio and undamped natural frequency of a closed loop system as shown in the figure, are denoted as $$\xi$$

View Question
A MOD-2 and a MOD-5 up-counter when cascaded together results in a MOD _________ counter. (in integer).

View Question
The maximum clock frequency in MHz of a 4-stage ripple counter, utilizing flip-flops, with each flip-flop having a propa

View Question
The transfer function of a real system, H(s), is given as:
$$H(s) = {{As + B} \over {{s^2} + Cs + D}}$$,
where A, B, C a

View Question
In the circuit shown below, a three-phase star-connected unbalanced load is connected to a balanced three-phase supply o

View Question
An inductor having a Q-factor of 60 is connected in series with a capacitor having a Q-factor of 240. The overall Q-fact

View Question
The network shown below has a resonant frequency of 150 kHz and a bandwidth of 600 Hz. The Q-factor of the network is __

View Question
In the circuit shown below, the switch S is closed at t = 0. The magnitude of the steady state voltage, in volts, across

View Question
In the circuit shown below, the magnitude of the voltage V1 in volts, across the 8 k$$\Omega$$ resistor is ________. (ro

View Question
A balanced Wheatsone bridge ABCD has the following arm resistances :
RAB = 1 k$$\Omega$$ $$\pm$$ 2.1%; RBC = 100 $$\Omeg

View Question
Two balanced three-phase loads, as shown in the figure, are connected to a $$100\sqrt 3 $$ V, three-phase, 50 Hz main su

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

View Question
The frequencies of the stator and rotor currents flowing in the three-phase 8-pole induction motor are 40 Hz and 1 Hz, r

View Question
A 280 V, separately excited DC motor with armature resistance of 1 $$\Omega$$ and constant field excitation drives a loa

View Question
A 4-pole induction motor with inertia of 0.1 kg-m2 drives a constant load torque of 2 Nm. The speed of the motor is incr

View Question
A star-connected 3-phase, 400 V, 50 kVA, 50 Hz synchronous motor has a synchronous reactance of 1 ohm per phase with neg

View Question
A 3-phase, 415 V, 50 Hz induction motor draws 5 times the rated current at rated voltage at starting. It is required to

View Question
A long conducting cylinder having a radius b is placed along the z-axis. The current density is $$\overrightarrow J = {

View Question
If the magnetic field intensity ($$\overrightarrow H $$) in a conducting region is given by the expression, $$\overright

View Question
As shown in the figure below, to concentric conducting spherical shells, centred at r = 0 and having radii r = c and r =

View Question
Consider a 3 $$\times$$ 3 matrix A whose (i, j)-th element, ai,j = (i $$-$$ j)3. Then the matrix A will be

View Question
e4 denotes the exponential of a square matrix A. Suppose $$\lambda$$ is an eigen value and v is the corresponding eigen-

View Question
Let $$f(x) = \int\limits_0^x {{e^t}(t - 1)(t - 2)dt} $$. Then f(x) decreases in the interval.

View Question
Consider a matrix $$A = \left[ {\matrix{
1 & 0 & 0 \cr
0 & 4 & { - 2} \cr
0 & 1 & 1 \cr
} } \right]$$.

View Question
Let $$f(x,y,z) = 4{x^2} + 7xy + 3x{z^2}$$. The direction in which the function f(x, y, z) increases most rapidly at poin

View Question
Let R be a region in the first quadrant of the xy plane enclosed by a closed curve C considered in counter-clockwise dir

View Question
Let $$\overrightarrow E (x,y,z) = 2{x^2}\widehat i + 5y\widehat j + 3z\widehat k$$. The value of $$\mathop{\int\!\!\!\in

View Question
Let the probability density function of a random variable x be given as
f(x) = ae$$-$$2|x|
The value of a is _________.

View Question
A charger supplies 100 W at 20 V for charging the battery of a laptop. The power devices, used in the converter inside t

View Question
A single-phase full-bridge diode rectifier feeds a resistive load of 50 $$\Omega$$ from a 200 V, 50 Hz single phase AC s

View Question
The voltage at the input of an AC-DC rectifier is given by $$v(t) = 230\sqrt 2 \sin \omega t$$ where $$\omega = 2\pi \

View Question
Consider an ideal full-bridge single-phase DC-AC inverter with a DC bus voltage magnitude of 1000 V. The inverter output

View Question
For the ideal AC-DC rectifier circuit shown in the figure below, the load current magnitude is Idc = 15 A and is ripple

View Question
A 3-phase grid-connected voltage source converter with DC link voltage of 1000 V is switched using sinusoidal Pulse Widt

View Question
The steady state current flowing through the inductor of a DC-DC buck boost converter is given in the figure below. If t

View Question
The most commonly used relay, for the protection of an alternator against loss of excitation, is

View Question
The geometric mean radius of a conductor, having four equal strands with each strand of radius r, as shown in the figure

View Question
The valid positive, negative and zero sequence impedances
(in p.u.), respectively, for a 220 kV, fully transported thre

View Question
If only 5% of the supplied power to a cable reaches the output terminal, the power loss in the cable, in decibels, is __

View Question
The fuel cost functions in rupees/hour for two 600 MW thermal power plants are given by
Plant 1 : C1 = 350 + 6P1 + 0.004

View Question
Two generating units rated for 250 MW and 400 MW have governor speed regulations of 6% and 6.4%, respectively, from no l

View Question
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

View Question
Let a causal LTI system be governed by the following differential equation $$y(t) + {1 \over 4}{{dy} \over {dt}} = 2x(t)

View Question
Let an input x(t) = 2 sin(10$$\pi$$t) + 5 cos(15$$\pi$$t) + 7 sin(42$$\pi$$t) + 4 cos(45$$\pi$$t) is passed through an L

View Question
Consider the system as shown below:
where y(t) = x(et). The system is

View Question
The discrete time Fourier series representation of a signal x[n] with period N is written as $$x[n] = \sum\nolimits_{k =

View Question
## General Aptitude

As you grow older, an injury to your __________ may take longer to ___________.

View Question
In a 500 m race, P and Q have speeds in the ratio of 3 : 4. Q starts the race when P has already covered 140 m. What is

View Question
Three bells P, Q and R are rung periodically in a school. P is rung every 20 minutes; Q is rung every 30 minutes and R i

View Question
Given below are two statements and four conclusions drawn based on the statements.
Statement I : Some bottles are cups.

View Question
The figure below shows the front and rear view of a disc, which is shaded with identical patterns. The disc is flipped o

View Question
Altruism is the human concern for the well being of others. Altruism has been shown to be motivated more by social bondi

View Question
There are two identical dice with a single letter on each of the faces. The following six letters : Q, R, S, T, U and V,

View Question
The price of an item is 10% cheaper in an online store S compared to the price at another online store M. Store S charge

View Question
The letters P, Q, R, S, T and U are to be placed one per vertex on a regular convex hexagon, but not necessarily in the

View Question
An ant is at the bottom-left corner of a grid (point P) as shown below in the figure. It aims to move to the top-right c

View Question