GATE ECE 2016 Set 2
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## GATE ECE

Assume that the diode in the figure has on Von = 0.7V, but is otherwise ideal. The magnitude of the current i2 (in mA)
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The figure shows a half-wave rectifier with a 475 µF filter capacitor. The load draws a constant current I0= 1 A from th
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Resistor R1 in the circuit below has been adjusted so that I1 = 1 mA. The bipolar transistor Q1 and Q2 are perfectly mat
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Which one of the following statements is correct about an ac-coupled common- emitter amplifier operating in the mid-band
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In the opamp circuit shown, the Zener diodes Z1 and Z2 clamp the output voltage Vo to +5 V or -5 V. The switch S is in
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An opamp has a finite open loop voltage gain of 100. Its input offset voltage Vios (= +5mV) is modeled as shown in the
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A speech signal is sampled at 8 kHz and encoded into PCM format using 8 bits/sample. The PCM data is transmitted through
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An information source generates a binary sequence $$\left\{ {{\alpha _n}} \right\}.{\alpha _n}$$ can take one of the two
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Consider random process $$X(t) = 3V(t) - 8$$, where $$V$$ $$(t)$$ is a zero mean stationary random process with autocorr
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An ideal band-pass channel 500Hz-2000 Hz is deployed for communication. A modem is designed to transmit bits at the rate
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A discrete memoryless source has an alphabet $$({a_1},\,{a_2},\,{a_3},\,{a_4})\,$$ with corresponding probabilities$$\le View Question A binary communication system makes use of the symbols “zero” and “one”. There are channel errors. Consider the followin View Question The response of the system$$G\left(s\right)\;=\;\frac{s\;-\;2}{\left(s\;+\;1\right)\left(s\;+\;3\right)}$$to the unit View Question In the feedback system shown below$$\$G\left(S\right)\;=\frac1{(s^2\;+\;2s)}$$The step response of the closed-loop sy View Question The number and direction of encirclements around the point −1 + j0 in the complex plane by the Nyquist plot of G(s) =$${
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The asymptotic Bode phase plot of $${\rm{G(s) = }}{k \over {\left( {s + 0.1} \right)\left( {s + 10} \right)\left( {s + View Question In the feedback system shown below$${\rm{G(s) = }}{1 \over {\left( {s + 1} \right)\left( {s + 2} \right)\left( {s + 3
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A 4:1 multiplexer is to be used for generating the output carry of a full adder. A and B are the bits to be added while
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Assume that all the digital gates in the circuit shown in the figure are ideal, the resistor 𝑅 = 10 𝑘Ω and the supply
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The state transition diagram for a finite state machine with states A, B and C, and binary inputs X, Y and Z, is shown i
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For the circuit shown in the figure, the delay of the bubbled NAND gate is 2ns and that of the counter is assumed to be
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In an N bit flash ADC, the analog voltage is fed simultaneously to 2N− 1 comparators. The output of the comparators is t
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A uniform and constant magnetic field $$B=\widehat zB$$ exists in the $$\widehat z$$ direction in vacuum. A particle of
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The parallel-plate capacitor shown in the figure has movable plates. The capacitor is charged so that the energy stored
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Let the electric field vector of a plane electromagnetic wave propagating in a homogenous medium be expressed as $$E = View Question A microwave circuit consisting of lossless transmission lines$$T_1$$and$$T_2$$is shown in the figure. The plot shows View Question A lossless microstrip transmission line consists of a trace of width w. It is drawn over a practically infinite ground p View Question Consider the time-varying vector$$I = \,\hat x\,\,15\,\cos \,(\omega \,t) + \,\hat y\,5\,sin(\omega \,t)$$in Cartesian View Question Light from free space is incident at an angle$${\theta _1}$$to the normal of the facet of a step-index large core opti View Question Consider a region of silicon devoid of electrons and holes, with an ionized donor density of$${\mathrm N}_\mathrm d^+=1
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The Ebers-Moll model of a BJT is valid
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A long-channel NMOS transistor is biased in the linear region with VDS = 50 mV and is used as a resistance. Which one o
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Transistor geometries in a CMOS inverter have been adjusted to meet the requirement for worst case charge and discharge
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Consider a long-channel NMOS transistor with source and body connected together. Assume that the electron mobility is in
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A voltage VG is applied across a MOS capacitor with metal gate and p-type silicon substrate at T=300 K. The inversion ca
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The matrix $$A = \left[ {\matrix{ a &amp; 0 &amp; 3 &amp; 7 \cr 2 &amp; 5 &amp; 1 &amp; 3 \cr 0 &amp; 0 &am View Question The value of$$x$$for which the matrix$$A = \left[ {\matrix{ 3 &amp; 2 &amp; 4 \cr 9 &amp; 7 &amp; {13} \cr
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As $$x$$ varies from $$- 1$$ to $$3,$$ which of the following describes the behavior of the function $$f\left( x \righ View Question How many distinct values of$$x$$satisfy the equation$$sin(x)=x/2,$$where$$x$$is in radians ? View Question Suppose$$C$$is the closed curve defined as the circle$$\,\,{x^2} + {y^2} = 1\,\,$$with$$C$$oriented anti-clockwis View Question The ordinary differential equation$$\,\,{{dx} \over {dt}} = - 3x + 2,\,\,$$with$$x(0)=1$$is to be solved using the View Question Consider the complex valued function$$f\left( z \right) = 2{z^3} + b{\left| z \right|^3}$$where$$z$$is a complex va View Question An 8 Kbyte ROM with an active low Chip Select input CS is to be used in an 8085 microprocessor based system. The ROM sho View Question In the given circuit, each resistor has a value equal to 1 Ω. What is the equivalent resistance across the terminals a View Question In the circuit shown in the figure, the magnitude of the current (in amperes) through R2 is___________. View Question In the circuit shown below, Vs is a constant voltage source and IL is a constant current load The value of IL that maxi View Question The switch has been in position 1for a long time and abruptly changes to position 2 at t = 0. If time t is in seconds, View Question The switch S in the circuit shown has been closed for a long time. It is opened at time t = 0 and remains open after tha View Question The figure shows an$$RLC$$circuit with a sinusoidal current source. At response, the ratio$$\left| {{{\rm I}_L}} \
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The energy of the signal x(t) =$${{\sin (4\pi t)} \over {4\pi t}}$$ is ___________.
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The Discrete Fourier Transform (DFT) of the 4-point sequence $$x\left[ n \right]$$= {x[0], x[1], x[2], x[3]} = {3, 2,
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A continuous-time filter with transfer function $$\,H(S) = {{2s + 6} \over {{s^2} + 6s + 8}}$$ is converted to a discret
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## General Aptitude

Given (9 inches)1/2 = (0.25 yards)1/2, which one of the following statements is TRUE?
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S, M, E and F are working in shifts in a team to finish a project. M works with twice the efficiency of others but for h
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