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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}$$are inputs t... Which of the follwing Boolean expression correctly represents the relation betwe... For each of the positive edge-triggered J-K flip flop used in the following futu... The logic function implemented by the following circuit at the terminal OUT is <... In the following circuit, the comparator output is logic “I” if V<sub>1</sub> &g... In the following circuit, the comparator output is logic “I” if V<sub>1</sub> &g... The value of the integral of the function$$\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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