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GATE ECE 2014 Set 3

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

The figure shows a half-wave rectifier. The diode D is ideal. The average steady...
In the circuit shown, the PNP transistor has $$\left|{\mathrm V}_\mathrm{BE}\rig...
In the circuit shown, the silicon BJT has $$\beta \,\,\,\,50.\,\,\,\,\,$$ Assume...
The desirable characteristics of a transconductance amplifier are
Assuming that the Op-amp in the circuit shown is ideal, V<sub>0</sub> is given b...
Consider an FM signal $$f\left(t\right)\;=\;\cos\left[2{\mathrm{πf}}_\mathrm c\m...
Let $$X(t)$$ be a wide sense stationary $$(WSS)$$ random procfess with power spe...
A real band-limited random process $$X( t )$$ has two -sided power spectral dens...
Let $${X_1},\,{X_2},$$ and $${X_3}$$ be independent and identically distributed ...
In a PCA system, the signal $$m(t) = \{ \sin (100\,\pi \,t)\, + \cos (100\,\pi \...
A binary random variable X takes the value of 1 with probability 1/3. X is input...
The steady state error of the system shown in the figure for a unit step input i...
Consider the following block diagram in the figure. <img alt="gate 2014 Set 3 c...
The input $$-3\mathrm e^{2\mathrm t}\;\mathrm u\left(\mathrm t\right)$$, where u...
In the root locus plot shown in the figure, the pole/zero marks and the arrows h...
The state equation of a second-order linear system is given by $$\mathop x\limit...
In the circuit shown, 𝑊𝑊 and 𝑌𝑌 are MSBs of the control inputs. The output �...
If X and Y are inputs and the Difference (D = X – Y) and the Borrow (B) are the ...
The circuit shown in the figure is a <img class="question-image" src="https://ga...
Consider the multiplexer based logic circuit shown in the figure. <img class="q...
If WL is the Word Line and BL the Bit Line, an SRAM cell is shown in
Given the vector $$$\mathrm A=\left(\cos\;\mathrm x\right)\left(\sin\;\mathrm y\...
In the following figure, the transmitter Tx sends a wideband modulated RF signal...
A region shown below contains a perfect conducting half-space and air. The surfa...
Assume that a plane wave in air with an electric field <br>$$\overrightarrow E ...
Consider an air filled rectangular waveguide with a cross-section of $$5\,\,cm\,...
A thin P-type silicon sample is uniformly illuminated with light which generates...
At T = 300 K, the hole mobility of a semiconductor $$\mu_p\;=500\;cm^2/V-s$$ and...
In MOSFET fabrication, the channel length is defined during the process of
The slope of the I<sub>D</sub> vs. V<sub>GS</sub> curve of an n-channel MOSFET i...
An ideal MOS capacitor has boron doping concentration of 10<sup>15</sup> cm<sup>...
For the MOSFET M<sub>1</sub> shown in the figure, assume W/L =2, V<sub>DD</sub> ...
Which one of the following statements is NOT true for a square matrix $$A$$?
The maximum value of the function $$\,f\left( x \right) = \ln \left( {1 + x} \ri...
If $$z=xy$$ $$ln(xy),$$ then
The maximum value of $$f\left( x \right) = 2{x^3} - 9{x^2} + 12x - 3$$ <br>in t...
An unbiased coin is tossed an infinite number of times. The probability that the...
A fair coin is tossed repeatedly till both head and tail appear at least once. T...
Let $${X_1},{X_{2,}}$$ and $${X_{3,}}$$ be independent and identically distribu...
Which ONE of the following is a linear non - homogeneous differential equation ,...
Match the application to appropriate numerical method <p><b>Applications</b> <b...
<p>In the figure shown, the value of the current I (in Amperes) is __________. <...
<p>For the Y-network shown in the figure, the value of R<sub>1</sub> (in Ω) in t...
In the circuit shown in the figure, the value of node voltage V<sub>2</sub> is <...
In the circuit shown in the figure, the angular frequency $$\omega$$ (in rad/s),...
A series RC circuit is connected to a DC voltage source at time t = 0. The relat...
Consider the building block called 'Network N' shown in the figure. <br>Let $$C...
The input $$ - 3{e^{2t}}\,\,u\left( t \right)$$, where u(t) is the unit step fun...
Let h(t) denote the impulse response of a casual system with transfer function $...
For an all-pass system H(z)= $${{({z^{ - 1}} - b)} \over {(1 - a{z^{ - 1}})}}$$...
The z-transform of the sequence x$$\left[ n \right]$$ is given by x(z)= $${1 \ov...
Let $${H_1}(z) = {(1 - p{z^{ - 1}})^{ - 1}},{H_2}(z) = {(1 - q{z^{^{ - 1}}})^{ -...
Let $$\,x\,\,\left( t \right)\,\,\, = \,\,\,\cos \,\,\,\left( {10\pi t} \right)\...
A modulated signal is $$y\left( t \right)\, = \,\,\,\,\,\,\,\,\,m\left( t \right...
The phase response of a passband waveform at receiver is given by $$\varphi \,(f...

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