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## GATE ECE 2015 Set 2

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

If the circuit shown has to function as a clamping circuit, which one of the fol...
The diode in the circuit given below has V<sub>ON</sub> = 0.7V but is ideal othe...
In the ac equivalent circuit shown, the two <b>BJTs</b> are biased in active re...
In the circuit shown, V<sub>O</sub> = V<sub>OA</sub> for switch SW in position A...
In the bistable circuit shown, the ideal opamp has saturation levels of $$\pm 5... For the voltage regulator circuit shown, the input voltage (V<sub>in</sub>) is 2... Assuming that the op-amp in the circuit shown below is ideal, the output voltage... A zero mean white Gaussian noise having power spectral density$${{{N_0}} \over ...
$$\mathop {\left\{ {{X_n}} \right\}}\nolimits_{n = - \infty }^{n = \infty }$$ ...
Let $$X \in \left\{ {0,1} \right\}$$ and $$Y \in \left\{ {0,1} \right\}$$ be two...
A sinusoidal signal of amplitude A is quantized by a uniform quantizer. Assume t...
Consider a binary, digital communication system which uses pulses g (t) and − g ...
By performing cascading and/or summing/differencing operations using transfer fu...
For the signal flow graph shown in the figure, the value of $$\frac{\mathrm C\le... A unity negative feedback system has an open–loop transfer function$$G\left(s\r...
The output of a standard second–order system for a unit step input is given as $... The transfer function of a mass-spring damper system is given by $${\rm{G(s) = }... The state variable representation of a system is given as$$$\eqalign{ &amp; \...
A function of Boolean variables X,Y and Z is expressed in terms of the min-terms...
In the figure shown, the output ܻ is required to be ܻ Y=AB+ $$\overline C$$$$\o... A 1-to-8 demultiplexer with data input D$$_{in}$$, address inputs S$$_{0}$$, S... A mod-n counter using a synchronous binary up-counter with synchronous clear inp... The figure shows a binary counter with synchronous clear input. With the decodin... In a source free region in vacuum, if the electrostatic potential$$\varphi\;=\;...
The electric field of a uniform plane electromagnetic wave is $$\vec E = \left... The electric field intensity of a plane wave propagating in a lossless non-magne... An air-filled rectangular waveguide of internal dimension$$a\,\,cm\,\, \times \...
Two half-wave dipole antennas placed as shown in the figure are excited with sin...
An n–type silicon sample is uniformly illuminated with light which generates 10<...
A piece of silicon is doped uniformly with phosphorous with a doping concentrati...
A dc voltage of 10V is applied across an n–type silicon bar having a rectangular...
In a MOS capacitor with an oxide layer thickness of 10 nm, the maximum depletion...
The value of $$'x'$$ for which all the eigenvalues of the matrix given below are...
The value of the integral $$\int_{ - \infty }^\infty {12\,\,\cos \left( {2\pi t... Let the random variable$$X$$represent the number of times a fair coin needs to... Let$$\,\,X \in \left\{ {0,1} \right\}\,\,$$and$$\,\,Y \in \left\{ {0,1} \righ...
Ram and Ramesh appeared in an interview for two vacancies in the same department...
The general solution of the differential equation $$\,\,{{dy} \over {dx}} = {{1 ... Consider the differential equation$$\,\,{{dx} \over {dt}} = 10 - 0.2\,x$$with ... Let$$f\left( z \right) = {{az + b} \over {cz + d}}.$$If$$f\left( {{z_1}} \rig...
If $$C$$ denotes the counter clockwise unit circle. The value of the contour int...
The bilateral Laplace transform of a function <br>$$f\left( t \right) = \left\{... In an 8085 microprocessor, which one of the following instructions changes the c... <p>In the circuit shown, the Norton equivalent resistance (in Ω) across terminal... In the circuit shown, the initial voltages across the capacitors C<sub>1</sub> a... The voltage (V<sub>C</sub>) across the capacitor (in Volts) In the network shown... The 2-port admittance matrix of the circuit shown is given by <img class="quest... The bilateral Laplace transform of a function$$f\left( t \right) = \left\{ {\ma...
Let x(t) = a s(t) +s(-t) with s(t) = $$\beta {e^{ - 4t}}u\left( t \right)$$, whe...
Two casual discrete-time signals $$x\left[ n \right]$$ and $$y\left[ n \right]$$...
The output of a standrad second-order system for a unit step input is given as $... Input x(t) and output y(t) of an LTI system are related by the differential equ... The value of the integral $$\int_{ - \infty }^\infty {12\,\cos (2\pi )\,{{\sin ... The signal$$\cos \left( {10\pi t + {\pi \over 4}} \right)$\$ is ideally sampl...

## General Aptitude

Ram and Ramesh appeared in an interview for two vacancies in the same department...

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