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## GATE ECE 2015 Set 1

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

In the circuit shown, I<sub>1</sub> = 80 mA and I<sub>2</sub> b= 4mA. Transistor...
In the circuit shown, assume that the opamp is ideal. The bridge output voltage ...
The circuit shown in the figure has an ideal opamp. The oscillation frequency an...
Consider the signal $$s\left(t\right)\;=\;m\left(t\right)\;\cos\left(2{\mathrm{π... In the system shown in figure (a), m(t) is a low-pass signal with bandwidth W Hz... A sinusoidal signal of 2 kHz frequency is applied to a delta modulator. The samp... The transmitted signal in a GSM system is of 200 kHz bandwidth and 8 users share... The input X to the Binary Symmetric Channel (BSC) shown in the figure is ‘1’ wit... A source emits bit 0 with probability$${1 \over 3}$$and bit 1 with probability... Negative feedback in a closed-loop control system DOES NOT The damping ratio of a series RLC circuit can be expressed as A unity negative feedback system has the open-loop transfer function$$$G\left(s... The open-loop transfer function of a plant in a unity feedback configuration is ... A plant transfer function is given as $$G\left(s\right)=\left(K_p+\frac{K_1}s\r... The popular plot of the transfer function G(s)=$${{10\left( {s + 1} \right)} \ov... A lead compensator network includes a parallel combination of 'R' and 'C' in the... The Boolean expression F(X, Y, Z)= $$\overline X Y\overline Z + X\overline {Y\,... All the logic gates shown in the figure have a propagation delay of 20 ns. Let A... A 3-input majority gate is defined by the logic function M (a,b,c) = ab+bc+ca. ... A 16 Kb (=16,384 bit) memory array is designed as a square with an aspect ratio ... Consider a four bit D to A converter. The analog value corresponding to digital ... The electric field component of a plane wave traveling in a lossless dielectric ... The electric field intensity of a plane wave traveling in free space is given by... Consider a uniform plane wave with amplitude$$\left( {{E_0}} \right)$$of$$10\... The longitudinal component of the magnetic field inside an air-filled rectangula... A silicon sample is uniformly doped with donor type impurities with a concentrat... A region of negative differential resistance is observed in the current voltage ... In the circuit shown below, the Zener diode is ideal and the Zener voltage is 6V... The built-in potential of an abrupt p-n junction is 0.75V. If its junction capac... A MOSFET in saturation has a drain current of 1 mA for V<sub>DS</sub> =0.5V. If ... For the NMOSFET in the circuit shown, in the threshold voltage is V<sub>th</sub>... Consider system of linear equations : $$x-2y+3z=-1$$$ $$x-3y+4z=1$$$and $$... The value of$$'P'$$such that the vector$$\left[ {\matrix{ 1 \cr 2 \... A function $$f\left( x \right) = 1 - {x^2} + {x^3}\,\,$$ is defined in the close... The maximum area (in square units) of a rectangle whose vertices lie on the elli... Which one of the following graphs describes the function? $$f\left( x \right) = ... A vector$$\overrightarrow P $$is given by$$\,\,\overrightarrow P = {x^3}y\ov... Suppose $$A$$ &amp; $$B$$ are two independent events with probabilities $$P\left... The input$$X$$to the Binary Symmetric Channel (BSC) shown in the figure is$$'... The Solution of the differential equation $$\,{{{d^2}y} \over {d{t^2}}} + 2{{dy}... Let$$z=x+iy$$be a complex variable. Consider that contour integration is perfo... In an 8085 microprocessor, the shift registers which store the result of an addi... <p>In the given circuit, the values of V<sub>1</sub> and V<sub>2</sub> respectiv... In the network shown in the figure, all resistors are identical with R = 300$$\... In the circuit shown, the switch SW is thrown from position A to position B at t... In the circuit shown, at resonance, the amplitude of the sinusoidal voltage (in ... In the given circuit, the maximum power (in Watts) that can be transferred to th... In the circuit shown, switch SW is closed at t = 0. Assuming zero initial condit... The damping ratio of a series $$RLC$$ circuit can be expressed as The solution of the differential equation $${{h\left( {t + 1} \right)} \over {h\... Two sequences [a, b, c ] and [A, B, C ] are related as, <br>$$\left[ {\matrix... Consider two real sequences with time- origin marked by the bold value, $${x_1}\... The pole-zero diagram of a causal and stable discrete-time system is shown in th... For the discrete-time system shown in the figure, the poles of the system transf... The result of the convolution$$x\left( { - t} \right) * \delta \left( { - t - {... In the system shown in Figure (a), m(t) is a low-pass signal with bandwidth W Hz... The waveform of a periodic signal x(t) is shown in the figure. <img class="que... ## General Aptitude If $$\log_x\left(\frac57\right)=\frac{-1}3$$, then the value of x is Operators $$\square$$,◊,$$\rightarrow$$ are defined by : a $$\square$$ b =$\$\fr...

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