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

For an ideal MOSFET biased in saturation, the magnitude of the small signal current gain for a common drain amplifier is
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The steady state output (Vout), of the circuit shown below, will
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For the circuit shown below with ideal diodes, the output will be
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The output impedance of a non-ideal operational amplifier is denoted by Zout. The variation in the magnitude of Zout wit
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The current gain (Iout/Iin) in the circuit with an ideal current amplifier given below is
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The Bode magnitude plot of a first order stable system is constant with frequency. The asymptotic value of the high freq
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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
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Two balanced three-phase loads, as shown in the figure, are connected to a $$100\sqrt 3$$ V, three-phase, 50 Hz main su
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The type of single-phase induction motor, expected to have the maximum power factor during steady state running conditio
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The frequencies of the stator and rotor currents flowing in the three-phase 8-pole induction motor are 40 Hz and 1 Hz, r
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A 280 V, separately excited DC motor with armature resistance of 1 $$\Omega$$ and constant field excitation drives a loa
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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
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A star-connected 3-phase, 400 V, 50 kVA, 50 Hz synchronous motor has a synchronous reactance of 1 ohm per phase with neg
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A 3-phase, 415 V, 50 Hz induction motor draws 5 times the rated current at rated voltage at starting. It is required to
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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
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As shown in the figure below, to concentric conducting spherical shells, centred at r = 0 and having radii r = c and r =
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Consider a 3 $$\times$$ 3 matrix A whose (i, j)-th element, ai,j = (i $$-$$ j)3. Then the matrix A will be
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e4 denotes the exponential of a square matrix A. Suppose $$\lambda$$ is an eigen value and v is the corresponding eigen-
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Let $$f(x) = \int\limits_0^x {{e^t}(t - 1)(t - 2)dt}$$. Then f(x) decreases in the interval.
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Consider a matrix $$A = \left[ {\matrix{ 1 & 0 & 0 \cr 0 & 4 & { - 2} \cr 0 & 1 & 1 \cr } } \right]$$.
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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
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Let R be a region in the first quadrant of the xy plane enclosed by a closed curve C considered in counter-clockwise dir
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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 \
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Consider an ideal full-bridge single-phase DC-AC inverter with a DC bus voltage magnitude of 1000 V. The inverter output
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For the ideal AC-DC rectifier circuit shown in the figure below, the load current magnitude is Idc = 15 A and is ripple
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A 3-phase grid-connected voltage source converter with DC link voltage of 1000 V is switched using sinusoidal Pulse Widt
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The steady state current flowing through the inductor of a DC-DC buck boost converter is given in the figure below. If t
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The most commonly used relay, for the protection of an alternator against loss of excitation, is
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The geometric mean radius of a conductor, having four equal strands with each strand of radius r, as shown in the figure
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The valid positive, negative and zero sequence impedances (in p.u.), respectively, for a 220 kV, fully transported thre
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If only 5% of the supplied power to a cable reaches the output terminal, the power loss in the cable, in decibels, is __
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The fuel cost functions in rupees/hour for two 600 MW thermal power plants are given by Plant 1 : C1 = 350 + 6P1 + 0.004
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Two generating units rated for 250 MW and 400 MW have governor speed regulations of 6% and 6.4%, respectively, from no l
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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
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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 =
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## General Aptitude

As you grow older, an injury to your __________ may take longer to ___________.
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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
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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
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Given below are two statements and four conclusions drawn based on the statements. Statement I : Some bottles are cups.
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The figure below shows the front and rear view of a disc, which is shaded with identical patterns. The disc is flipped o
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Altruism is the human concern for the well being of others. Altruism has been shown to be motivated more by social bondi
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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,
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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
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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
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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
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