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GATE ECE 2008

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

In the following transistor circuit, V<sub>BE</sub> = 0.7V, r<sub>e</sub> = 25...
In the following transistor circuit, V<sub>BE</sub> = 0.7V, r<sub>e</sub> = 25...
Consider the following circuit using an ideal Op-Amp. The I-V characteristics of...
The Op-Amp circuit shown above represents a <img class="question-image" src="htt...
Consider the Schmitt trigger circuit shown below. <img class="question-image" sr...
Consider the amplitude modulated (AM) signal $$A_c\cos\omega_ct\;+\;2\cos\omega_...
The signal $$\cos\;\omega_ct\;+\;0.5\;\cos\;\omega_mt\;s\mathrm{in}\;\omega_ct$$...
Noise with double-sided power spectral density of K over all frequencies is pass...
Four messages band limited to W, W, 2 W and 3 W respectively are to be multiplex...
A speech signal, band limited to 4 kHz and peak voltage varying between + 5V and...
A speech signal, band limited to 4 kHz and peak voltage varying between + 5V and...
A speech signal, band limited to 4kHz and peak voltage varying between +5V and -...
A memory less source emits n symbols each with a probability p. The entropy of t...
Consider a Binary Symmetric Channel (BSC) with probability of error being 'p'. T...
Step responses of a set of three second-order underdamped systems all have the s...
A linear, time-invariant, causal continuous time system has a rational transfer ...
The number of open right half plane poles of $$$G\left(s\right)\;=\;\frac{10}{s^...
<b>Group I</b> lists a set of four transfer functions. <b>Group II</b> gives a l...
A certain system has transfer function $$G\left(s\right)=\frac{s+8}{s^2+\alpha s...
The impulse response h(t) of a linear time invariant system is given by h(t) = $...
The magnitude of frequency response of an underdamped second order system is 5 a...
The impulse response h(t) of a linear time invariant system is given by h(t) = $...
The pole-zero plot given below corresponds to a <img class="question-image" src...
<b>Group I</b> gives two possible choices for the impedance Z in the diagram. Th...
A signal flow graph of a system is given below. <img class="question-image" src=...
For the circuit shown in the following figure $${I_0}$$ - $${I_3}$$ are inputs t...
Which of the follwing Boolean expression correctly represents the relation betwe...
For each of the positive edge-triggered J-K flip flop used in the following futu...
The logic function implemented by the following circuit at the terminal OUT is <...
In the following circuit, the comparator output is logic ā€œIā€ if V<sub>1</sub> &g...
In the following circuit, the comparator output is logic ā€œIā€ if V<sub>1</sub> &g...
The value of the integral of the function $$\mathrm g\left(\mathrm x,\mathrm y\r...
One end of loss-less transmission line having the characteristic impedance of 75...
A uniform plane wave in the free space is normally incident on an infinitely thi...
A rectangular waveguide of internal dimensions (a = 4 cm and b = 3 cm ) is to be...
For a Hertz dipole antenna, the half power beam width (HPBW) in the E-plane is
At 20 GHz, the gain of a parabolic dish antenna of 1 meter diameter and 70% effi...
Which of the following is true?
Which of the following is NOT associated with a P-N junction?
In the following limiter circuit, an input voltage $${\mathrm V}_\mathrm i\;=\;1...
The drain current of a MOSFET in saturation is given by $$I_D\;=\;K\left(V_{GS}\...
A silicon wafer has 100 mm of oxide on it and is inserted in a furnace at a temp...
Two identical NMOS transistors M<sub>1</sub> and M<sub>2</sub> are connected as ...
For the circuit shown in the following figure, transistors M1 and M2 are identic...
The measured transconductance g<sub>m</sub> of an NMOS transistor operating in t...
All the four entries of $$2$$ $$x$$ $$2$$ matrix <br>$$P = \left[ {\matrix{ ...
The system of linear equations $$\left. {\matrix{ {4x + 2y = 7} \cr {2x ...
For real values of $$x,$$ the minimum value of function $$f\left( x \right) = {e...
The value of the integral of the function $$\,\,g\left( {x,y} \right) = 4{x^3} +...
Which of the following function would have only odd powers of $$x$$ in its Taylo...
In the Taylor series expansion of $${e^x} + \sin x$$ about the point $$x = \pi ...
Consider points $$P$$ and $$Q$$ in $$xy-$$plane with $$P=(1,0)$$ and $$Q=(0,1).$...
Which of the following is a solution to the differential equation $${d \over {dt...
The recursion relation to solve $$x = {e^{ - x}}$$ using Newton $$-$$ Raphson me...
The equation sin(z) = 10 has
The residue of the function <br>$$f(z) = {1 \over {{{\left( {z + 2} \right)}^2}{...
An 8085 executes the following instructions <br> 2710 LXI H, 30A0H <br> DAD H <...
The Thevenin equivalent impedance Z<sub>th</sub> between the nodes P and Q in th...
In the following circuit, the switch S is closed at t=0. The rate of change of c...
The following series RLC circuit with zero initial conditions is excited by a un...
The following series RLC circuit with zero initial conditions is excited by a un...
<p>The circuit shown in the figure is used to charge the capacitor C alternately...
In the following graph, the number of trees (P) and the number of cut-sets (Q) a...
A two-port network shown below is excited by external dc sources. The voltages a...
The driving point impedance of the following network is given by $$Z(s) = {{0.2\...
A two-port network shown below is excited by external dc sources. The voltages a...
{x(n)} is a real-valued periodic sequence with a period N. x(n) and X(k) form N-...
In the following network (Fig .1), the switch is closed at t = 0- and the sampli...
In the following network (Fig.1), the switch is closed at t = 0 and the sampling...
The input and output of a continuous system are respectively denoted by x(t) and...
The impulse response h(t) of a linear time-invariant continuous time system is d...
A linear, time-invariant, causal continuous time system has a rational transfer ...
Let x(t) be the input and y(t) be the output of a continuous time system. Match ...
The signal x(t) is described by $$x\left( t \right) = \left\{ {\matrix{ {1\,\...
A discrete time linear shift - invariant system has an impulse response $$h\left...

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