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GATE ECE 2004

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

Assuming V<sub>Cesat</sub>=0.2V and β = 50, the minimum base current (I<sub>B</s...
A bipolar transistor is operating in the active region with a collector current ...
The value of 'C' required for a sinusoidal oscillation of frequency 1 KHz in the...
An ideal Op-Amp is an ideal
The circuit in the figure is a <img class="question-image" src="https://gatecla...
Voltage series feedback (also called series-shunt feedback) results in
In the op-amp circuit given in the figure, the load current i<sub>L</sub> is <...
An AM signal is detected using an envelope detector. The carrier frequency and m...
An AM signal and a narrow-band FM signal with identical carriers, modulating sig...
Two sinusoidal signals of same amplitude and frequencies 10 kHz and 10.1 kHz are...
In a PCM system, if the code word length is increased from 6 to 8 bits, the sign...
In the output of a DM speech encoder, the consecutive pulses are of opposite pol...
A 1 mW video signal having a bandwidth of 100 MHz is transmitted to a receiver t...
Three analog signals, having bandwidths 1200 Hz, 600 Hz and 600 Hz are sampled a...
A source produces binary data at the rate of 10 kbps. The binary symbols are rep...
Choose the correct one from among the alternatives A, B, C, D after matching an ...
Consider a binary digital communication system with equally likely $$0’s$$ and $...
A causal system having the transfer function $$G\left(s\right)\;=\;\frac1{s\;+\;...
For the polynomial <br>P(s) = s<sup>5</sup> + s<sup>4</sup> + 2s<sup>3</sup> + 2...
Consider the signal flow graph shown in Figure. The gain $$\frac{x_5}{x_1}$$ is ...
A system described by the following differential equation $$$\frac{d^2y}{dt^2}+3...
Consider the Bode magnitude plot shown in figure. The transfer function H(s) is ...
A system has poles at 0.01 Hz, 1Hz and 80 Hz; zeroes at 5hz, 100 Hz and 200 Hz. ...
The state variable equations of a system are: $$${\mathop {{x_1} = - 3{x_1} - x...
Given A $$ = \left[ {\matrix{ 1 &amp; 0 \cr 0 &amp; 1 \cr } } ...
If A = $$\left[ {\matrix{ { - 2} &amp; 2 \cr 1 &amp; { - 3} \cr } }...
The range of signed decimal numbers that can be represented by 6-bite 1’s comple...
11001, 1001 and 111001 correspond to the 2’s complement representation of which ...
The Boolean expression AC + B$$\overline C $$ is equivalent to
A Boolean function 'f' of two variables x and y is defined as follows: f(0,0)=f(...
The minimum number of 2 to 1 multiplexers required to realize a 4 to 1 mutliplex...
A master slave flip-flop has the characteristic that
Choose the correct one from among the alternatives A, B, C, D after matching an ...
In the modulo-6 ripple counter shown in the figure, the output of the 2-input ga...
Figure shows the internal schematic of a TTL AND-OR-Invert (AOI) gate. For the i...
Consider a 300$$\Omega $$, quarter-wave long (at 1 GHz) transmission line as sho...
Consider an impedance Z = R + jX marked with point P in an impedance Smith chart...
A lossless transmission line is terminated in a load which reflects a part of th...
A plane electromagnetic wave propagating in free space in incident normally on a...
The phase velocity of an electromagnetic wave propagating in a hollow metallic r...
Consider a lossless antenna with a directive gain of + 6 dB. If 1 m W of power i...
The impurity commonly used for realizing the base region of a silicon n-p-n tran...
Consider the following statements S1 and S2. <p><br>S1: The threshold voltage (V...
The drain of an n-channel MOSFET is shorted to the gate so that V<sub>GS</sub> =...
The 8255 Programmable Peripheral Interface is used as described below. <p>I. An ...
The number of memory cycles required to execute the following 8085 instructions ...
It is desired to multiply the numbers 0AH by 0BH and store the result in the acc...
Consider the sequence of 8085 instructions given below. <br> LXI H, 9258 <br> M...
<p>The equivalent inductance measured between the terminals 1 and 2 for the circ...
For the R-L circuit shown in Fig, the input voltage. v<sub>i</sub>(t) = u (t) Th...
<p>The circuit shown in Fig, has initial current $${\mathrm i}_\mathrm L\left(0^...
<p>Consider the following statements S1 and S2.</p> <p>S<sub>1</sub>: The $$\bet...
The circuit shown in figure, with $$R = 1/3\Omega $$, $$L = 1/4H$$, $$C = 3F$$ h...
For the circuit shown in figure, the time constant $$RC = 1$$ $$ms$$. The input ...
The transfer function $$H\left( s \right) = {{{V_0}\left( s \right)} \over {{V_i...
For the lattice circuit shown in Fig., $${Z_a} = j\,2\,\Omega \,\,and\,\,{Z_b} =...
For the circuit shown in Fig.Q.35, the initial conditions are zeros. Its transfe...
The Fourier transform of a conjugate symmetric function is always
The z transform of a system is <br> H(z) = $${z \over {z - 0.2}}$$ . <br> If th...
A system described by the differential equation: $${{{d^2}y} \over {d{t^2}}} + 3...
A rectangular pulse train s(t) as shown in Fig.1 is convolved with the signal $$...
A causal system having the transfer function H(s) = $${1 \over {s + 2}}$$, is ex...
Let x(t) and y(t) (with Fourier transforms X(f) and Y(f) respectively) be relate...
The impulse response $$h\left[ n \right]$$ of a linear time-invariant system is ...
A causal <b>LTI</b> system is described by the difference equation $$2y\left[ n ...
The impulse response $$h\left[ n \right]$$ of a linear time invariant system is ...
A system has poles at 0.01 Hz, 1 Hz and 80 Hz; zeros at 5 Hz, 100 Hz and 200 Hz....
Consider the signal x(t) shown in Fig. Let h(t) denote the impulse response of t...
A 1 kHz sinusoidal signal is ideally sampled at 1500 samples /sec and the sample...
Consider the sequence <p> $$x[n] = [ - \,4 - \,j5,\,\mathop {1 + j2}\limits_ \u...

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