GATE EE 2023
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Sun, Feb 5, 2023 4:00 AM
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
View Question All the elements in the circuit shown in the following figure are ideal. Which of the following statements is/are true?
View Question The Zener diode in circuit has a breakdown voltage of 5 V. The current gain $$\beta$$ of the transistor in the active re
View Question For the block diagram shown in the figure, the transfer function $${{Y(s)} \over {R(s)}}$$ is
View Question In the Nyquist plot of the open-loop transfer function
$$G(s)H(s) = {{3s + 5} \over {s - 1}}$$
corresponding to the feed
View Question Consider a unity-gain negative feedback system consisting of the plant G(s) (given below) and a proportional-integral co
View Question The magnitude and phase plots of an LTI system are shown in the figure. The transfer function of the system is
View Question Consider a lead compensator of the form
$$K(s) = {{1 + {s \over a}} \over {1 + {s \over {\beta a}}}},\beta > 1,a > 0$$
View Question Consider the state-space description of an LTI system with matrices
$$A = \left[ {\matrix{
0 & 1 \cr
{ - 1} & {
View Question An 8 bit ADC converts analog voltage in the range of 0 to +5 V to the corresponding digital code as per the conversion c
View Question Neglecting the delays due to the logic gates in the circuit shown in figure, the decimal equivalent of the binary sequen
View Question In a given 8-bit general purpose micro-controller there are following flags.
C-Carry, A-Auxiliary Carry, O-Overflow flag
View Question The value of parameters of the circuit shown in the figure are
$${R_1} = 2\Omega ,{R_2} = 2\Omega ,{R_3} = 3\Omega ,L =
View Question 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 __________
View Question A 3-phase, star-connected, balanced load is supplied from a 3-phase, 400 V (rms), balanced voltage source with phase seq
View Question For the circuit shown, if $$i = \sin 1000t$$, the instantaneous value of the Thevenin's equivalent voltage (in Volts) ac
View Question The admittance parameters of the passive resistive two-port network shown in the figure are
$${y_{11}} = 5\,S,{y_{22}} =
View Question The circuit shown in the figure is initially in the steady state with the switch K in open condition and $$\overline K $
View Question A balanced delta connected load consisting of the series connection of one resistor (R = 15 $$\Omega$$) and a capacitor
View Question The following columns present various modes of induction machine operation and the ranges of slip
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View Question A 10-pole, 50 Hz, 240 V, single phase induction motor runs at 540 RPM while driving rated load. The frequency of induced
View Question The four stator conductors (A, A', B and B') of a rotating machine are carrying DC currents of the same value, the direc
View Question A separately excited DC motor rated 400 V, 15 A, 1500 RPM drives a constant torque load at rated speed operating from 40
View Question A three-phase synchronous motor with synchronous impedance of 0.1+j0.3 per unit per phase has a static stability limit o
View Question 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
View Question When the winding c-d of the single-phase, 50 Hz, two winding transformer is supplied from an AC current source of freque
View Question In the figure, the electric field E and the magnetic field B point to x and z directions, respectively, and have constan
View Question 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
View Question The closed curve shown in the figure is described by
$$r = 1 + \cos \theta $$, where $$r = \sqrt {{x^2} + {y^2}} ;x = r\
View Question A quadratic function of two variables is given as
$$f({x_1},{x_2}) = x_1^2 + 2x_2^2 + 3{x_1} + 3{x_2} + {x_1}{x_2} + 1$$
View Question For a given vector $${[\matrix{
1 & 2 & 3 \cr
} ]^T}$$, the vector normal to the plane defined by $${w^T}x = 1$$
View Question In the figure, the vectors u and v are related as : Au = v by a transformation matrix A. The correct choice of A is
View Question One million random numbers are generated from a statistically stationary process with a Gaussian distribution with mean
View Question In the following differential equation, the numerically obtained value of $$y(t)$$, at $$t=1$$ is ___________ (Round off
View Question Three points in the x-y plane are ($$-$$1, 0.8), (0, 2.2) and (1, 2.8). The value of the slope of the best fit straight
View Question Consider the following equation in a 2-D real-space.
$$|{x_1}{|^p} + |{x_2}{|^p} = 1$$ for $$p > 0$$
Which of the follow
View Question The expected number of trials for first occurrence of a "head" in a biased coin is known to be 4. The probability of fir
View Question The chopper circuit shown in figure (i) feeds power to a 5 A DC constant current source. The switching frequency of the
View Question A semiconductor switch needs to block voltage V of only one polarity (V > 0) during OFF state as shown in figure (i)
View Question The circuit shown in the figure has reached steady state with thyristor 'T' in OFF condition. Assume that the latching a
View Question The single phase rectifier consisting of three thyristors $$T_1,T_2,T_3$$ and a diode $$D_1$$ feed power to a 10 A const
View Question For the three-bus power system shown in the figure, the trip signals to the circuit breakers B$$_1$$ to B$$_9$$ are prov
View Question The expressions of fuel cost of two thermal generating units as a function of the respective power generation $${P_{G1}}
View Question The bus admittance ($$Y_{bus}$$) matrix of a 3-bus power system is given below.
$$\quad\quad$$$$\matrix{
1 & \quad\qu
View Question A 50 Hz, 275 kV line of length 400 km has the following parameters:
Resistance, R = 0.035 $$\Omega$$/km;
Inductance, L =
View Question The three-bus power system shown in the figure has one alternator connected to bus 2 which supplies 200 MW and 40 MVAr p
View Question The two-bus power system shown in figure (i) has one alternator supplying a synchronous motor load through a Y-$$\Delta$
View Question A continuous-time system that is initially at rest is described by
$${{dy(t)} \over {dt}} + 3y(t) = 2x(t)$$,
where $$x(t
View Question The Fourier transform $$X(\omega)$$ of the signal $$x(t)$$ is given by
$$X(\omega ) = 1$$, for $$|\omega |
$$ = 0$$, fo
View Question 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
View Question Which of the following statement(s) is/are true?
View Question 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
View Question The period of the discrete-time signal $$x[n]$$ described by the equation below is $$N=$$ __________ (Round off to the n
View Question The discrete-time Fourier transform of a signal $$x[n]$$ is $$X(\Omega ) = (1 + \cos \Omega ){e^{ - j\Omega }}$$. Consid
View Question 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
View Question General Aptitude
Rafi told Mary, "I am thinking of watching a film this weekend."
The following repots the above statement in indirect sp
View Question Permit : __________ : : Enforce : Relax
(By word meaning)
View Question Given a fair six-faced dice where the faces are labelled '1', '2', '3', '4', '5', and '6', what is the probability of ge
View Question A recent survey shows that 65% of tobacco users were advised to stop consuming tobacco. The survey also shows that 3 out
View Question How many triangles are present in the given figure?
View Question Students of all the departments of a college who have successfully completed the registration process are eligible to vo
View Question Which of the following options represents the given graph?
View Question Which one of the options does NOT describe the passage below or follow from it?
We tend to think of cancer as a 'modern'
View Question the digit in the unit's place of the product $$3^{999}\times7^{1000}$$ is __________.
View Question A square with sides of length 6 cm is given. The boundary of the shaded region is defined by two semi-circles whose diam
View Question