GATE EE 2023
Paper was held on Sun, Feb 5, 2023 4:00 AM
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GATE EE

Consider the OP AMP based circuit shown in the figure. Ignore the conduction drops of diodes $$D_1$$ and $$D_2$$. All th
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All the elements in the circuit shown in the following figure are ideal. Which of the following statements is/are true?
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The Zener diode in circuit has a breakdown voltage of 5 V. The current gain $$\beta$$ of the transistor in the active re
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For the block diagram shown in the figure, the transfer function $${{Y(s)} \over {R(s)}}$$ is
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In the Nyquist plot of the open-loop transfer function $$G(s)H(s) = {{3s + 5} \over {s - 1}}$$ corresponding to the feed
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Consider a unity-gain negative feedback system consisting of the plant G(s) (given below) and a proportional-integral co
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The magnitude and phase plots of an LTI system are shown in the figure. The transfer function of the system is
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Consider a lead compensator of the form $$K(s) = {{1 + {s \over a}} \over {1 + {s \over {\beta a}}}},\beta > 1,a > 0$$
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Consider the state-space description of an LTI system with matrices $$A = \left[ {\matrix{ 0 & 1 \cr { - 1} & {
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An 8 bit ADC converts analog voltage in the range of 0 to +5 V to the corresponding digital code as per the conversion c
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Neglecting the delays due to the logic gates in the circuit shown in figure, the decimal equivalent of the binary sequen
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In a given 8-bit general purpose micro-controller there are following flags. C-Carry, A-Auxiliary Carry, O-Overflow flag
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The value of parameters of the circuit shown in the figure are $${R_1} = 2\Omega ,{R_2} = 2\Omega ,{R_3} = 3\Omega ,L =
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For the circuit shown in the figure, $$V_1=8$$ V, DC and $$I_1=8$$ A, DC. The voltage $$V_{ab}$$ in Volts is __________
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A 3-phase, star-connected, balanced load is supplied from a 3-phase, 400 V (rms), balanced voltage source with phase seq
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For the circuit shown, if $$i = \sin 1000t$$, the instantaneous value of the Thevenin's equivalent voltage (in Volts) ac
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The admittance parameters of the passive resistive two-port network shown in the figure are $${y_{11}} = 5\,S,{y_{22}} =
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The circuit shown in the figure is initially in the steady state with the switch K in open condition and $$\overline K $
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A balanced delta connected load consisting of the series connection of one resistor (R = 15 $$\Omega$$) and a capacitor
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The following columns present various modes of induction machine operation and the ranges of slip .tg {border-collapse
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A 10-pole, 50 Hz, 240 V, single phase induction motor runs at 540 RPM while driving rated load. The frequency of induced
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The four stator conductors (A, A', B and B') of a rotating machine are carrying DC currents of the same value, the direc
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A separately excited DC motor rated 400 V, 15 A, 1500 RPM drives a constant torque load at rated speed operating from 40
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A three-phase synchronous motor with synchronous impedance of 0.1+j0.3 per unit per phase has a static stability limit o
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A three phase 415 V, 50 Hz, 6-pole, 960 RPM, 4 HP squirrel cage induction motor drives a constant torque load at rated s
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When the winding c-d of the single-phase, 50 Hz, two winding transformer is supplied from an AC current source of freque
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In the figure, the electric field E and the magnetic field B point to x and z directions, respectively, and have constan
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An infinite surface of linear current density $$K = 5{\widehat a_x}$$ A/m exists on the x-y plane, as shown in the figur
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The closed curve shown in the figure is described by $$r = 1 + \cos \theta $$, where $$r = \sqrt {{x^2} + {y^2}} ;x = r\
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A quadratic function of two variables is given as $$f({x_1},{x_2}) = x_1^2 + 2x_2^2 + 3{x_1} + 3{x_2} + {x_1}{x_2} + 1$$
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For a given vector $${[\matrix{ 1 & 2 & 3 \cr } ]^T}$$, the vector normal to the plane defined by $${w^T}x = 1$$
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In the figure, the vectors u and v are related as : Au = v by a transformation matrix A. The correct choice of A is
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One million random numbers are generated from a statistically stationary process with a Gaussian distribution with mean
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In the following differential equation, the numerically obtained value of $$y(t)$$, at $$t=1$$ is ___________ (Round off
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Three points in the x-y plane are ($$-$$1, 0.8), (0, 2.2) and (1, 2.8). The value of the slope of the best fit straight
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Consider the following equation in a 2-D real-space. $$|{x_1}{|^p} + |{x_2}{|^p} = 1$$ for $$p > 0$$ Which of the follow
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The expected number of trials for first occurrence of a "head" in a biased coin is known to be 4. The probability of fir
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The chopper circuit shown in figure (i) feeds power to a 5 A DC constant current source. The switching frequency of the
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A semiconductor switch needs to block voltage V of only one polarity (V > 0) during OFF state as shown in figure (i)
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The circuit shown in the figure has reached steady state with thyristor 'T' in OFF condition. Assume that the latching a
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The single phase rectifier consisting of three thyristors $$T_1,T_2,T_3$$ and a diode $$D_1$$ feed power to a 10 A const
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For the three-bus power system shown in the figure, the trip signals to the circuit breakers B$$_1$$ to B$$_9$$ are prov
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The expressions of fuel cost of two thermal generating units as a function of the respective power generation $${P_{G1}}
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The bus admittance ($$Y_{bus}$$) matrix of a 3-bus power system is given below. $$\quad\quad$$$$\matrix{ 1 & \quad\qu
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A 50 Hz, 275 kV line of length 400 km has the following parameters: Resistance, R = 0.035 $$\Omega$$/km; Inductance, L =
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The three-bus power system shown in the figure has one alternator connected to bus 2 which supplies 200 MW and 40 MVAr p
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The two-bus power system shown in figure (i) has one alternator supplying a synchronous motor load through a Y-$$\Delta$
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A continuous-time system that is initially at rest is described by $${{dy(t)} \over {dt}} + 3y(t) = 2x(t)$$, where $$x(t
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The Fourier transform $$X(\omega)$$ of the signal $$x(t)$$ is given by $$X(\omega ) = 1$$, for $$|\omega | $$ = 0$$, fo
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The Z-transform of a discrete signal $$x[n]$$ is $$X(z) = {{4z} \over {(z - {1 \over 5})(z - {2 \over 3})(z - 3)}}$$ wit
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Which of the following statement(s) is/are true?
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For the signals $$x(t)$$ and $$y(t)$$ shown in the figure, $$z(t)=x(t)*y(t)$$ is maximum at $$t=T_1$$. Then $$T_1$$ in s
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The period of the discrete-time signal $$x[n]$$ described by the equation below is $$N=$$ __________ (Round off to the n
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The discrete-time Fourier transform of a signal $$x[n]$$ is $$X(\Omega ) = (1 + \cos \Omega ){e^{ - j\Omega }}$$. Consid
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A signal $$x(t) = 2\cos (180\pi t)\cos (60\pi t)$$ is sampled at 200 Hz and then passed through an ideal low pass filter
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General Aptitude

Rafi told Mary, "I am thinking of watching a film this weekend." The following repots the above statement in indirect sp
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Permit : __________ : : Enforce : Relax (By word meaning)
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Given a fair six-faced dice where the faces are labelled '1', '2', '3', '4', '5', and '6', what is the probability of ge
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A recent survey shows that 65% of tobacco users were advised to stop consuming tobacco. The survey also shows that 3 out
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How many triangles are present in the given figure?
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Students of all the departments of a college who have successfully completed the registration process are eligible to vo
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Which of the following options represents the given graph?
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Which one of the options does NOT describe the passage below or follow from it? We tend to think of cancer as a 'modern'
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the digit in the unit's place of the product $$3^{999}\times7^{1000}$$ is __________.
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A square with sides of length 6 cm is given. The boundary of the shaded region is defined by two semi-circles whose diam
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