GATE 2003 Electronics & Communication

If the differential voltage gain and the common mode voltage gain of a differential Amplifier are 48 dB and 2 dB respectively, then it's common mode Rejection Ratio is

Twelve 1Ω resistances are used as edges to form a cube. The resistance between two diagonally opposite corners of the cube is

A source of angular frequency 1rad/sec has source impedance consisting of $$1\Omega$$ resistance in series with 1H inductance. The load that will obtain maximum power transfer is

A series RLC circuit has a resonance frequency of 1 kHz and a quality factor Q = 100. If each R, L and C is doubled from its original value, the new Q of the circuit is

Let x(t) be the input to a linear, time-invariant system. The required output is 4x(t-2). The transfer function of the system should be

A second-order system has the transfer function $$\frac{C\left(s\right)}{R\left(s\right)}=\frac4{s^2+4s+4}$$. With r(t) as the unit-step function, the response c(t) of the system i...

The open-loop transfer function of a unity feedback system is $$$G\left(s\right)=\frac k{s\left(s^2+s+2\right)\left(s+3\right)}$$$ the range of 'k' for which the system is stable

The root locus of the system $$$G\left(s\right)H\left(s\right)=\frac K{s\left(s+2\right)\left(s+3\right)}$$$ has the break-away point located at

The output of the 74 series of TTL gates is taken from a BJT in

With out any additional circuitry, an 8:1 MUX can be used to obtain

Three identical amplifiers with each one having a voltage gain of 50, input Resistance of 1 KΩ and output resistance of 250Ω, are cascaded. The open circuit voltage gain of the com...

The gain margin and the phase margin of a feedback system with G(s)H(s)=$${s \over {{{\left( {s + 100} \right)}^3}}}$$ are

An input voltage $$v(t)$$ $$ = 10\sqrt 2 \,\,\cos \,\,\left( {t + {{10}^0}} \right) + 10\sqrt 5 \,\,\cos \left( {2t + {{10}^0}} \right)\,\,V$$ is applied to a series combination of...

An ideal sawtooth voltage waveform of a frequency 500 Hz and Amplitude 3 V is generated by charging a capacitor of 2 $$\mu F$$ in every cycle the charging requires

The action of a JFET in its equivalent circuit can be best represented as a

If the functions W, X, Y and Z are as follows W= R+$$\overline P Q + \overline R $$ S X = $$X = PQ\overline R \,\overline S + \overline P \,\overline Q \,\overline R \,\overline S...

Generally, the gain of a transistor Amplifier falls at high frequency due to the

A 4 bit ripple counter and a 4 bit synchronous counter are made using flip-flops having a propagation delay of 10 ns each. If the worst case delay in the ripple counter and the syn...

The zero, input response of a system given by the state space equation $$$\left[ {{{\mathop {{x_1}}\limits^ \bullet } \over {\mathop {{x_2}}\limits^ \bullet }}} \right] = \left[ {\...

A PD controller is used to compensate a system. Compared to the uncompensated system, the compensated system has

If the electric field intensity is given by $$\mathrm E=\left(\mathrm x{\widehat{\mathrm u}}_\mathrm x\;+\mathrm y{\widehat{\mathrm u}}_\mathrm y+\mathrm z{\widehat{\mathrm u}}_\ma...

A rectangular metal wave guide filled with a dielectric material of relative permittivity $${\varepsilon _r} = \,4$$ has the inside dimensions $$3.0\,cm\,\, \times \,\,1.2\,cm$$. T...

In an 8085 microprocessor, the instruction CMP B has been executed while the content of the accumulator is less than that of register B. As a result

If S represents the carrier synchronization at the receiver and $$\rho $$ represents the bandwidth efficiency, then the correct statement for the coherent binary PSK is

Medium $$1$$ has the electrical permittivity $${\varepsilon _1} = 1.5\,\,{\varepsilon _0}\,\,\,F/m$$ and occupies the region to left of $$x = 0$$ plane. Medium $$2$$ has the electr...

A sinusoidal signal with peak-to-peak amplitude of 1.536V is quantized into 128 levels using a mid-rise uniform quantizer. The quantization-noise power is

If E b , the energy per bit of a binary digital signal, is 10 -5 watt-sec and the one-sided power spectral density of the white noise, N 0 = 10 -6 W/Hz, then the output SNR of the...

A signal is sampled at 8 KHz and is quantized using 8-bit uniform quantizer. Assuming $$SN{R_q}$$ for a sinusoidal signal, the correct statement for PCM signal with a bit rate of R...

If the electric field intensity associated with a uniform plane electromagnetic wave traveling in a perfect dielectric medium is given by $$E\left( {z,\,t} \right) = \,10\,\cos \le...

The input to a linear delta modulator having a step size $$\Delta $$ = 0.628 is a sine wave with frequency f m and peak amplitude E m . If the sampling frequency f s = 40 KHz. the...

A uniform plane wave traveling in air is incident on the plane boundary between air and another dielectric medium with $${\varepsilon _r} = 4$$. The reflection coefficient for the...

The depth of penetration of electromagnetic wave in a medium having conductivity $$\sigma $$ at a frequency of 1 KHz is 25 cm. The depth of penetration at a frequency of 4 KHz will...

An amplifier without feedback has a voltage gain of 50, input Resistance of 1 k$$\Omega $$ and output Resistance of 2.5 k$$\Omega $$ . The input Resistance of the current-shunt neg...

The number of distinct Boolean expressions of 4 variables is

A 0 to 6 counter consist of 3 flip-flops and a combination circuit of 2 input gate(s). The combination circuit consists of

The gain margin for the system with open-loop transfer function G(s)H(s)=$${{2(1 + s)} \over {{s^2}}}$$ is

The laplace transform of $$i(t)$$ is given by $$I\left( s \right) = {2 \over {s\left( {1 + s} \right)}}$$ As $$t \to \infty ,$$ the value of $$i(t)$$ tends to __________.

n-type silicon is obtained by doping silicon with

The electron concentration in a sample of uniformly doped n-type silicon at 300 o K varies linearly from $$10^{17}/cm^3$$ at x = 0 to $$6\times10^{16}/cm^3$$ at x = 2 $$\mu m$$. As...

An n-type silicon bar 0.1 cm long and $$100\;\mu m^2$$ in cross-sectional area has a majority carrier concentration of $$5\times10^{20}/m^3$$ and the carrier mobility is $$0.13\;\;...

At 300 K, for a diode current of 1 mA, a certain germanium diode requires a forward bias of 0.1435 V. Where as a certain silicon diode requires a forward bias of 0.718 V. Under the...

Choose proper substitutes for X and Y to make the following statement correct Tunnel diode and Avalanche photodiode are operated in X bias and Y bias respectively.

When the gate-to-source voltage (V GS ) of a MOSFET with threshold voltage of 400 mV, working in saturation is 900 mV, the drain current is observed to be 1 mA. Neglecting the chan...

If P is Passivation, Q is n-well implant, R is metallization and S is source/drain diffusion, then the order in which they are carried out in a standard n-well CMOS fabrication pro...

The system under consideration is an RC low -pass filter (RC-LPF) with R = 1.0 $$k\Omega $$ and C = 1.0 $$\mu F$$. Let H(t) denote the frequency response of the RC-LPF. Let $${f_1}...

The Laplace transform of i(t) tends to $$I\left( s \right)\,\, = \,{2 \over {s\left( {1 + s} \right)}}$$ As $$t \to \infty $$ , the value of i(t) tends to

Let P be linearity, Q be time-invariance, R be causality and S be stability. A discrete time system has the input-output relationship, $$y\left( n \right) = \left\{ {\matrix{ {x\le...

Let x(t) be the input to a linear, time-invariant system. The required output is 4x(t - 2). The transfer function of the system should be

A sequence $$x\left( n \right)$$ with the $$z$$-transform $$X\left( z \right)$$ $$ = {z^4} + {z^2} - 2z + 2 - 3{z^{ - 4}}$$ is applied as an input to a linear, time-invariant syste...

The system under consideration is an RC low -pass filter (RC-LPF) with R = 1.0 $$k\Omega $$ and C = 1.0 $$\mu F$$. Let $${t_g}$$ (f) be the group delay function of the given RC-LPF...

A DSB-SC signal is to be generated with a carrier frequency f c = 1MHz using a nonlinear device with the input-output characteristic $$v_0=a_0v_i\;+\;a_1v_i^3$$.where a 0 and a 1 a...

Let $$m\left(t\right)\;=\cos\left[\left(4\mathrm\pi\times10^3\right)t\right]$$ be the message signal and $$c\left(t\right)\;=5\cos\left[2\mathrm\pi\times10^6t\right]$$ be the carri...

Let $$m\left(t\right)\;=\cos\left[\left(4\mathrm\pi\times10^3\right)t\right]$$ be the message signal and $$c\left(t\right)\;=5\cos\left[2\mathrm\pi\times10^6t\right]$$ be the carri...

The unit of $$\nabla\times\mathrm H$$ is