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

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

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

View Question 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

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

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

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

View Question The circuit shown in the figure is that of

View Question 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

View Question 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

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

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

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

View Question Each cell of a static Random Access Memory Contains

View Question 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.

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

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

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

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

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

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

View Question 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

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

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

View Question 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

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

View Question 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

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

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

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

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

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

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

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

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

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

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

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

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

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

View Question The Fourier transform of a real valued time signal has

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

View Question The autocorrelation function of an energy signal has

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

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

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

View Question 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

View Question 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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