GATE ECE 2003
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## GATE ECE

The circuit shown in figure is best described as a
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In the amplifier circuit shown in the figure, the values of R1 and R2 are such that the transistor is operating at VCE =
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Three identical amplifiers with each one having a voltage gain of 50, input Resistance of 1 KΩ and output resistance of
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Generally, the gain of a transistor Amplifier falls at high frequency due to the
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An ideal sawtooth voltage waveform of a frequency 500 Hz and Amplitude 3 V is generated by charging a capacitor of 2 $$\ View Question The action of a JFET in its equivalent circuit can be best represented as a View Question The oscillator circuit shown in the figure has an ideal inverting Amplifier. It's frequency of Oscillation (in Hz) is View Question If the differential voltage gain and the common mode voltage gain of a differential Amplifier are 48 dB and 2 dB respect View Question An amplifier without feedback has a voltage gain of 50, input Resistance of 1 k$$\Omega $$and output Resistance of 2.5 View Question The output voltage of the Regulated power supply shown in the figure is View Question If the Op-Amp in the figure is ideal, the output voltage Vout will equal to View Question If the input to the ideal comparator shown in figure is sinusoidal signal of 8V (peak to peak) without any DC component, View Question A DSB-SC signal is to be generated with a carrier frequency fc = 1MHz using a nonlinear device with the input-output cha View Question Let$$m\left(t\right)\;=\cos\left[\left(4\mathrm\pi\times10^3\right)t\right]$$be the message signal and$$c\left(t\righ
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Let $$m\left(t\right)\;=\cos\left[\left(4\mathrm\pi\times10^3\right)t\right]$$ be the message signal and $$c\left(t\righ View Question The input to a linear delta modulator having a step size$$\Delta $$= 0.628 is a sine wave with frequency fm and peak a View Question If S represents the carrier synchronization at the receiver and$$\rho $$represents the bandwidth efficiency, then the View Question A signal is sampled at 8 KHz and is quantized using 8-bit uniform quantizer. Assuming$$SN{R_q}$$for a sinusoidal signa View Question If Eb, the energy per bit of a binary digital signal, is 10-5 watt-sec and the one-sided power spectral density of the w View Question A sinusoidal signal with peak-to-peak amplitude of 1.536V is quantized into 128 levels using a mid-rise uniform quantize View Question Let x(t) be the input to a linear, time-invariant system. The required output is 4x(t-2). The transfer function of the s View Question The signal flow graph of a system is shown in figure. The transfer function$$\frac{C(s)}{R(s)}$$of the system is View Question A second-order system has the transfer function$$\frac{C\left(s\right)}{R\left(s\right)}=\frac4{s^2+4s+4}$$. With r(t) View Question The open-loop transfer function of a unity feedback system is$$$G\left(s\right)=\frac k{s\left(s^2+s+2\right)\left(s+3\ View Question 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 bre
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Figure shows the Nyquist plot of the open-loop transfer function G(s)H(s) of a system. If G(s)H(s) has one right hand po
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The gain margin for the system with open-loop transfer function G(s)H(s)=$${{2(1 + s)} \over {{s^2}}}$$ is
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The approximate Bode magnitude plot of a minimum-phase system is shown in figure. The transfer function of the system is
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The gain margin and the phase margin of a feedback system with G(s)H(s)=$${s \over {{{\left( {s + 100} \right)}^3}}}$$
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A PD controller is used to compensate a system. Compared to the uncompensated system, the compensated system has
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The zero, input response of a system given by the state space equation $$\left[ {{{\mathop {{x_1}}\limits^ \bullet } \ View Question The number of distinct Boolean expressions of 4 variables is View Question If the functions W, X, Y and Z are as follows W= R+$$\overline P Q + \overline R $$S X =$$X = PQ\overline R \,\overl
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The circuit shown in figure converts
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The circuit shown in figure has 4 boxes each described by inputs P, Q, R and outputs Y, Z with Y = $$\,P \oplus \,Q\, \ View Question With out any additional circuitry, an 8:1 MUX can be used to obtain View Question A 0 to 6 counter consist of 3 flip-flops and a combination circuit of 2 input gate(s). The combination circuit consists View Question In the circuit shown in Figure, A is a parallel in, parallel-out 4-bit register, which loads at the rising edge of the c View Question A 4 bit ripple counter and a 4 bit synchronous counter are made using flip-flops having a propagation delay of 10 ns eac View Question The output of the 74 series of TTL gates is taken from a BJT in View Question The DTL, TTL, ECL and CMOS families of digital ICs are compared in the following 4 columns View Question The circuit shown in figure is a 4-bit DAC The input bits 0 and 1 are represented by 0 and 5 V respectively. The OP- View Question The unit of$$\nabla\times\mathrm H$$is View Question If the electric field intensity is given by$$\mathrm E=\left(\mathrm x{\widehat{\mathrm u}}_\mathrm x\;+\mathrm y{\wide
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The depth of penetration of electromagnetic wave in a medium having conductivity $$\sigma$$ at a frequency of 1 KHz is
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A short-circuited stub is shunt connected to a transmission line as shown in Fig. If $${Z_0} = 50\,\,\Omega$$, the admi
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A uniform plane wave traveling in air is incident on the plane boundary between air and another dielectric medium with $View Question Medium $$1$$ has the electrical permittivity $${\varepsilon _1} = 1.5\,\,{\varepsilon _0}\,\,\,F/m$$ and occupies the re View Question If the electric field intensity associated with a uniform plane electromagnetic wave traveling in a perfect dielectric m View Question A rectangular metal wave guide filled with a dielectric material of relative permittivity $${\varepsilon _r} = \,4$$ has View Question Two identical antennas are placed in the $$\theta = \pi /2$$ plane as shown in figure. The elements have equal amplitud View Question n-type silicon is obtained by doping silicon with View Question The electron concentration in a sample of uniformly doped n-type silicon at 300oK varies linearly from $$10^{17}/cm^3$$ View Question An n-type silicon bar 0.1 cm long and $$100\;\mu m^2$$ in cross-sectional area has a majority carrier concentration of$
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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
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Choose proper substitutes for X and Y to make the following statement correct Tunnel diode and Avalanche photodiode are
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When the gate-to-source voltage (VGS) of a MOSFET with threshold voltage of 400 mV, working in saturation is 900 mV, the
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For an n-channel enhancement type MOSFET, if the source is connected at a higher potential than that of the bulk (i.e. V
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If P is Passivation, Q is n-well implant, R is metallization and S is source/drain diffusion, then the order in which th
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The laplace transform of $$i(t)$$ is given by $$I\left( s \right) = {2 \over {s\left( {1 + s} \right)}}$$ As $$t \to \i View Question In an 8085 microprocessor, the instruction CMP B has been executed while the content of the accumulator is less than tha View Question Twelve 1Ω resistances are used as edges to form a cube. The resistance between two diagonally opposite corners of the cu View Question A source of angular frequency 1rad/sec has source impedance consisting of$$1\Omega$$resistance in series with 1H induc View Question The circuit is given in figure.Assume that the switch S is in position 1 for a long time and thrown to position 2 at t = View Question The circuit is given in figure.Assume that the switch S is in position 1 for a long time and thrown to position 2 at t = View Question A series RLC circuit has a resonance frequency of 1 kHz and a quality factor Q = 100. If each R, L and C is doubled from View Question The current flowing through the resistance R in the circuit in figure has the form P cos 4t, where P is View Question The impedance parameters Z11 and Z12 of the two-port network in figure are View Question The minimum number of equations required to analyze the circuit shown in Fig. View Question An input voltage$$v(t) = 10\sqrt 2 \,\,\cos \,\,\left( {t + {{10}^0}} \right) + 10\sqrt 5 \,\,\cos \left( {2t + {{
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The driving-point impedance Z(s) of a network has the pole-zero locations as shown in figure. If Z(0) = 3, then Z(s) is
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Find the Y-parameters (short ciruit admittance parameters) for the network shown in figure.
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The Laplace transform of i(t) tends to $$I\left( s \right)\,\, = \,{2 \over {s\left( {1 + s} \right)}}$$ As $$t \to \i View Question Let x(t) be the input to a linear, time-invariant system. The required output is 4x(t - 2). The transfer function of t View Question A sequence$$x\left( n \right)$$with the$$z$$-transform$$X\left( z \right) = {z^4} + {z^2} - 2z + 2 - 3{z^{ - 4}
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Let P be linearity, Q be time-invariance, R be causality and S be stability. A discrete time system has the input-outpu
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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
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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
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Let x(t) = $$\,2\cos (800\pi t) + \cos (1400\pi t)$$. x(t) is sampled with the rectangular pulse train shown in figure.
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