GATE ECE 2022
Paper was held on Sun, Feb 6, 2022 3:30 AM
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GATE ECE

Consider the CMOS circuit shown in the figure (substrates are connected to their respective sources). The gate width (W)
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The ideal long channel nMOSFET and pMOSFET devices shown in the circuits have threshold voltages of 1 V and $$-$$1 V, re
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An ideal OPAMP circuit with a sinusoidal input is shown in the figure. The 3 dB frequency is the frequency at which the
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Consider an ideal long channel nMOSFET (enhancement-mode) with gate length 10 $$\mu$$m and width 100 $$\mu$$m. The produ
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For the following circuit with an ideal OPAMP, the difference between the maximum and the minimum values of the capacito
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A circuit with an ideal OPAMP is shown. The Bode plot for the magnitude (in dB) of the gain transfer function (Av(j$$\om
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A circuit and the characteristics of the diode (D) in it are shown. The ratio of the minimum to the maximum small signal
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Consider the circuit shown with an ideal long channel nMOSFET (enhancement mode, substrate is connected to the source).
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The frequency response H(f) of a linear time-invariant system has magnitude as shown in the figure. Statement I : The sy
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Let H(X) denote the entropy of a discrete random variable X taking K possible distinct real values. Which of the followi
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A symbol stream contains alternate QPSK and 16-QAM symbols. If symbols from this stream are transmitted at the rate of 1
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Consider an FM broadcast that employs the pre-emphasis filter with frequency response $${H_{pe}}(\omega ) = 1 + {{j\omeg
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The transition diagram of a discrete memoryless channel with three input symbols and three output symbols is shown in th
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Consider communication over a memoryless binary symmetric channel using a (7, 4) Hamming code. Each transmitted bit is r
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Consider a channel over which either symbol xA or symbol xB is transmitted. Let the output of the channel Y be the inpu
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Consider a real valued source whose samples are independent and identically distributed random variables with the probab
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Consider a closed-loop control system with unity negative feedback and KG(s) in the forward path, where the gain K = 2.
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The root-locus plot of a closed-loop system with unity negative feedback and transfer function KG(s) in the forward path
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Consider an even polynomial p(s) given by $$p(s) = {s^4} + 5{s^2} + 4 + K$$ where K is an unknown real parameter. The co
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Two linear time-invariant systems with transfer functions $${G_1}(s) = {{10} \over {{s^2} + s + 1}}$$ and $${G_2}(s) = {
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The block diagram of a closed-loop control system is shown in the figure. R(s), Y(s), and D(s) are the Laplace transform
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Consider the 2-bit multiplexer (MUX) shown in the figure. For OUTPUT to be the XOR of C and D, the values for A0, A1, A2
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Select the Boolean function(s) equivalent to x + yz, where x, y, and z are Boolean variables, and + denotes logical OR o
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Select the correct statement(s) regarding CMOS implementation of NOT gates.
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for the circuit shown, the clock frequency is f0 and the duty cycle is 25%. For the signal at the Q output of the Flip-F
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A state transition diagram with states A, B, and C, and transition probabilities p1, p2, ....., p7 is shown in the fig
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Consider a Boolean gate (D) where the output Y is related to the inputs A and b as, Y = A + $$\overline B $$, where + de
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Consider the circuit shown with an ideal OPAMP. The output voltage V0 is __________ V (rounded off to two decimal places
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In a circuit, there is a series connection of an ideal resistor and an ideal capacitor. The conduction current (in Amper
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Consider the following wave equation, $${{{\partial ^2}f(x,t)} \over {\partial {t^2}}} = 10000{{{\partial ^2}f(x,t)} \ov
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A waveguide consists of two infinite parallel plates (perfect conductors) at a separation of 10$$-$$4 cm, with air as th
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In an electrostatic field, the electric displacement density vector, $$\overrightarrow D $$, is given by $$\overrightarr
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Consider a long rectangular bar of direct bandgap p-type semiconductor. The equilibrium hole density is 1017 cm$$-$$3 an
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In a non-degenerate bulk semiconductor with electron density n = 1016 cm$$-$$3, the value of EC $$-$$ EFn = 200 meV, whe
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An ideal MOS capacitor (p-type semiconductor) is shown in the figure. The MOS capacitor is under strong inversion with V
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Select the CORRECT statements regarding semiconductor devices
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A p-type semiconductor with zero electric field is under illumination (low level injection) in steady state condition. E
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Consider the two-dimensional vector field $$\overrightarrow F (x,y) - x\overrightarrow i + y\overrightarrow j $$, where
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Consider a system of linear equations Ax = b, where $$A = \left[ {\matrix{ 1 \hfill & { - \sqrt 2 } \hfill & 3 \hfill
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Consider the following partial differential equation (PDE) $$a{{{\partial ^2}f(x,y)} \over {\partial {x^2}}} + b{{{\part
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The bar graph shown the frequency of the number of wickets taken in a match by a bowler in her career. For example, in 1
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A simple closed path C in the complex plane is shown in the figure. If $$\oint\limits_c {{{{2^z}} \over {{z^2} - 1}}dz =
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The function f(x) = 8loge x $$-$$ x2 + 3 attains its minimum over the interval [1, e] at x = __________. (Here loge x is
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Let $$\alpha$$, $$\beta$$ two non-zero real numbers and v1, v2 be two non-zero real vectors of size 3 $$\times$$ 1. Supp
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Consider the following series: $$\sum\limits_{n = 1}^\infty {{{{n^d}} \over {{c^n}}}} $$ For which of the following com
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The value of the integral $$\int\!\!\!\int\limits_D {3({x^2} + {y^2})dx\,dy} $$, where D is the shaded triangular region
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The current I in the circuit shown is _________.
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Consider the circuit shown in the figure. The current I flowing through the 10 $$\Omega$$ resister is ___________.
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For the circuit shown, the locus of the impedance Z(j$$\omega$$) is plotted as $$\omega$$ increases from zero to infinit
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Consider the circuit shown in the figure with input V(t) in volts. The sinusoidal steady state current I(t) flowing thro
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A linear 2-port network is shown in Fig. (a). An ideal DC voltage source of 10 V is connected across Port 1. A variable
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The Fourier transform X(j$$\omega$$) of the signal $$x(t) = {t \over {{{(1 + {t^2})}^2}}}$$ is ____________.
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Let x1(t) = e$$-$$t u(t) and x2(t) = u(t) $$-$$ u(t $$-$$ 2), where u( . ) denotes the unit step function. If y(t) denot
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The outputs of four systems (S1, S2, S3 and S4) corresponding to the input signal sin(t), for all time t, are shown in t
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For a vector $$\overline x $$ = [x[0], x[1], ....., x[7]], the 8-point discrete Fourier transform (DFT) is denoted by $$
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General Aptitude

Mr. X speaks ____________ Japanese ___________ Chinese.
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A sum of money is to be distributed among P, Q, R, and S in the proportion 5 : 2 : 4 : 3, respectively. If R gets Rs. 10
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A trapezium has vertices marked as P, Q, R and S (in that order anticlockwise). The side PQ is parallel to side SR. Furt
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The figure shows a grid formed by a collection of unit squares. The unshaded unit square in the grid represents a hole.
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An art gallery engages a security guard to ensure that the items displayed are protected. The diagram below represents t
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Mosquitoes pose a threat to human health. Controlling mosquitoes using chemicals may have undesired consequences. In Flo
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Consider the following inequalities. (i) 2x $$-$$ 1 > 7 (ii) 2x $$-$$ 9 Which one of the following expressions below sa
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Four points P(0, 1), Q(0, $$-$$3), R($$-$$2, $$-$$1), and S(2, $$-$$1) represent the vertices of a quadrilateral. What i
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In a class of five students P, Q, R, S and T, only one student is known to have copied in the exam. The disciplinary com
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Consider the following square with the four corners and the center marked as P, Q, R, S and T respectively. Let X, Y an
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