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GATE ECE 2016 Set 2

Exam Held on Thu Jan 01 1970 00:00:00 GMT+0000 (Coordinated Universal Time)
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GATE ECE

Assume that the diode in the figure has on V<sub>on</sub> = 0.7V, but is otherwi...
The figure shows a half-wave rectifier with a 475 µF filter capacitor. The load ...
Resistor R<sub>1</sub> in the circuit below has been adjusted so that I<sub>1</s...
Which one of the following statements is correct about an ac-coupled common- emi...
In the opamp circuit shown, the Zener diodes Z1 and Z2 clamp the output voltage ...
An opamp has a finite open loop voltage gain of 100. Its input offset voltage V<...
A speech signal is sampled at 8 kHz and encoded into PCM format using 8 bits/sam...
An information source generates a binary sequence $$\left\{ {{\alpha _n}} \right...
Consider random process $$X(t) = 3V(t) - 8$$, where $$V$$ $$(t)$$ is a zero mean...
An ideal band-pass channel 500Hz-2000 Hz is deployed for communication. A modem ...
A discrete memoryless source has an alphabet $$({a_1},\,{a_2},\,{a_3},\,{a_4})\,...
A binary communication system makes use of the symbols “zero” and “one”. There a...
The response of the system $$G\left(s\right)\;=\;\frac{s\;-\;2}{\left(s\;+\;1\ri...
In the feedback system shown below $$$G\left(S\right)\;=\frac1{(s^2\;+\;2s)}$$$...
The number and direction of encirclements around the point −1 + j0 in the comple...
The asymptotic Bode phase plot of $${\rm{G(s) = }}{k \over {\left( {s + 0.1} \r...
In the feedback system shown below $${\rm{G(s) = }}{1 \over {\left( {s + 1} \r...
A 4:1 multiplexer is to be used for generating the output carry of a full adder....
Assume that all the digital gates in the circuit shown in the figure are ideal, ...
The state transition diagram for a finite state machine with states A, B and C, ...
For the circuit shown in the figure, the delay of the bubbled NAND gate is 2ns a...
In an N bit flash ADC, the analog voltage is fed simultaneously to 2<sup>N</sup>...
A uniform and constant magnetic field $$B=\widehat zB$$ exists in the $$\widehat...
The parallel-plate capacitor shown in the figure has movable plates. The capacit...
Let the electric field vector of a plane electromagnetic wave propagating in a h...
A microwave circuit consisting of lossless transmission lines $$T_1$$ and $$T_2$...
A lossless microstrip transmission line consists of a trace of width w. It is dr...
Consider the time-varying vector $$I = \,\hat x\,\,15\,\cos \,(\omega \,t) + \,\...
Light from free space is incident at an angle $${\theta _1}$$ to the normal of t...
Consider a region of silicon devoid of electrons and holes, with an ionized dono...
The Ebers-Moll model of a BJT is valid
A long-channel NMOS transistor is biased in the linear region with V<sub>DS</su...
Transistor geometries in a CMOS inverter have been adjusted to meet the requirem...
Consider a long-channel NMOS transistor with source and body connected together....
A voltage V<sub>G</sub> is applied across a MOS capacitor with metal gate and p-...
The matrix $$A = \left[ {\matrix{ a &amp; 0 &amp; 3 &amp; 7 \cr 2 &amp; ...
The value of $$x$$ for which the matrix $$A = \left[ {\matrix{ 3 &amp; 2 &amp...
As $$x$$ varies from $$- 1$$ to $$3,$$ which of the following describes the beha...
How many distinct values of $$x$$ satisfy the equation $$sin(x)=x/2,$$ where $$x...
Suppose $$C$$ is the closed curve defined as the circle $$\,\,{x^2} + {y^2} = 1\...
The ordinary differential equation $$\,\,{{dx} \over {dt}} = - 3x + 2,\,\,$$ wi...
Consider the complex valued function $$f\left( z \right) = 2{z^3} + b{\left| z ...
An 8 Kbyte ROM with an active low Chip Select input CS is to be used in an 8085 ...
<p>In the given circuit, each resistor has a value equal to 1 Ω.</p> <img alt="G...
<p>In the circuit shown in the figure, the magnitude of the current (in amperes)...
In the circuit shown below, V<sub>s</sub> is a constant voltage source and I<sub...
The switch has been in position 1for a long time and abruptly changes to positio...
The switch S in the circuit shown has been closed for a long time. It is opened ...
The figure shows an $$RLC$$ circuit with a sinusoidal current source. <img clas...
The energy of the signal x(t) =$${{\sin (4\pi t)} \over {4\pi t}}$$ is _________...
The Discrete Fourier Transform (DFT) of the 4-point sequence <br> $$x\left[ n \...
A continuous-time filter with transfer function $$\,H(S) = {{2s + 6} \over {{s^2...

General Aptitude

Given (9 inches)<sup>1/2</sup> = (0.25 yards)<sup>1/2</sup>, which one of the fo...
S, M, E and F are working in shifts in a team to finish a project. M works with ...

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