GATE ECE 1996

## GATE ECE

A Darlington stage is shown in the figure, if the transconductance of q1 is gm1 and q2 is gm2, then the overall transcon

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Match the following.
Group - I
(a)Cascode amplifier
(b)Differential Amplifier
(c)Darlington pair common-collector Amplif

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An npn transistor has a beta cut-off frequency $${f_\beta }$$ of 1MHz and Common Emitter short circuit low frequency cur

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In the circuit shown in Fig. is a finite gain amplifier with a gain of K, a very large input impedance, and a very low o

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A common-emitter amplifier with an external capacitor CC connected across the base and the collector of the transistor i

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A JEFT with VP = -4V and IDss = 12mA is used in the circuit shown in Fig. Assuming the device to be operating in satu

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Value of R in the oscillator shown in the given figure. So chosen that it just oscillates at an angular frequencies of'

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The circuit shown in the figure is that of

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The number of bits in a binary PCM system is increased from n to n+1. As a result, the signal to quantization noise rat

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A system having an open loop transfer function
$$G\left(s\right)=\frac{K\left(s+3\right)}{s\left(s^2+2s+2\right)}$$
is u

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Obtain a state space representation in diagonal form for the following system
$$${{{d^3}y} \over {d{t^3}}} + 6{{{d^2}y}

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Given the Boolean function F in three variables R, S and T as
F=$$\,\overline R \,S\overline T + R\overline {S\,} T +

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Its is desired to generate the following three Boolean functions.
$$\eqalign{
& {F_1} = a\,\overline b \,c + \ove

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Each cell of a static Random Access Memory Contains

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A 12-bit ADC is operating with a 1$$\mu $$ sec clock period and the total conversion time is seen to be 14 $$\mu $$ sec.

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A 4-bit shift register, which shifts 1 bit to the right at every clock pulse, is intialized to values (1000) for (Q0Q1Q2

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A state machine is required to cycle through the following sequence of states:
One possible implementation of the stat

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A lossless transmission line having 50 $$\Omega $$ characteristic impedance and lenght $$\lambda /4$$ is short ciruited

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The capacitance per unit length and the characteristic impedance of a lossless transmission line are C and $$Z_0$$ respe

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A uniform plane wave in air is normally incident on an infinitely thick slab. If the reflective index of the glass slab

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Some unknown material has a conductivity of $${10^{ 6}}$$ $$mho/m$$ and a permeability of $$4\pi \times {10^{ - 7}}\,

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A metal sphere with 1 m radius and a surface charge density of 10 Coulombs/m2 is enclosed in
a cube of 10 m side. The

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A uniform plane wave having parallel polarization is obliquely incident on an air - dielectric interface as shown in Fig

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A transverse electromagnetic wave with circular polarization is received by a dipole antenna. Due to polarization mismat

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A 1 km long microwave link uses two antennas each having 30dB gain. If the power transmitted by one antenna is 1 W at 3

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In an air-filled rectangular waveguide, the vector electric field is given by
$$\mathop E\limits^ \to = \cos \,(20\,\

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Two isotropic antennas A and B from an array as shown in Fig. The currents fed to the two antennas are $${{\rm I}_0}\,\a

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The inverse laplace transform of the function $${{s + 5} \over {\left( {s + 1} \right)\left( {s + 3} \right)}}$$ is ____

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The following sequence of instructions are executed by an 8085 microprocessor:
1000: LXI SP< 27FF
1003: CALL 1006

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The total number of memory accesses involved (inclusive of the op-code fetch) when an 8085 processor executes, the instr

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In the circuit shown in Fig., it is known that the variable current source I absorbs power.Find I (in magnitude and dire

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The voltage VC1, VC2 and VC3 across the capacitors in the circuit in Fig., under steady state, are respectively

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The number of independent loops for a network with n nodes and b branches is

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Refer to the circuit shown in Fig.
Choosing the voltage vC(t) across capacitor, and the current iL(t) through the induc

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In the circuit shown in Fig (a) - (c), assuming initial voltages across capacitors and current through the inductors to

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In Fig., A1, A2 and A3 are ideal ammeters. If A2 and A3 read 3 A and 4 A respectively, then A1 should read

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In the circuit of Fig., assume that the diodes are ideal and the meter is an average indicating ammeter. The ammeter wil

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Find the input resistance $${R_{in}}$$ of the infinite section resistive network shown in Fig.

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The open circuit impedance matrix $${Z_{OC}}$$ of a three-terminal two-port network with A as the input terminal, B as t

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The trigonometric Fourier series of an even function of time does not have the

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The Fourier transform of a real valued time signal has

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The inverse Laplace transform of the function $${{s + 5} \over {\left( {s + 1} \right)\left( {s + 3} \right)}}$$ is

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The autocorrelation function of an energy signal has

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A system having a unit impulse response $$h\left( n \right)$$ = $$u\left( n \right)$$ is excited by a signal $$x\lef

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In the linear time-invariant system shown in Fig. 1, blocks labeled D represent unit delay elements. Find the expression

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A rectangular pulse of duration T is applied to a filter matched to this input. The output of the filter is a

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A signal 3 sin $$\left( {\pi \,\,{f_0}t} \right) + \,5\,\,\cos \,\,\,(3\pi \,\,{f_0}t)$$ is applied to an RC low pass fi

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An input signal A exp $$\left( { - \alpha \,t} \right)$$ u(t) with $$\alpha > 0$$ is applied to a causal filter, the

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