GATE ECE 2005
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GATE ECE

The cascode amplifier is a multistage configuration of
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The circuit using a BJT with β = 50 and VBE = 0.7 V is shown in the figure. The base current IB and collector voltage V
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For an npn transistor connected as shown in the figure, VBE = 0.7 volts. Given that reverse saturation current of the ju
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Given $${r_d} = 20K\Omega ,\,\,{I_{DSS}}\, = \,10mA,\,\,{V_P} = - 8V$$ Zi and Zo of the circuit are respectively
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Given $${r_d} = 20K\Omega ,\,\,{I_{DSS}}\, = \,10mA,\,\,{V_P} = - 8V$$ Transconductance in milli-Siemens (mS) and v
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Given $${r_d} = 20K\Omega ,\,\,{I_{DSS}}\, = \,10mA,\,\,{V_P} = - 8V$$ ID and VDS under DC conditions are respectiv
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For an n-channel MOSFET and its transfer curve shown in the figure, the threshold voltage is
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The input resistance Ri of the amplifier shown in the figure is
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The effect of current shunt feedback in an amplifier is to
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In an ideal differential amplifier shown in the figure, a large value of (RE).
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The voltage e0 indicated in the figure has been measured by an ideal voltmeter. Which of the following can be calculated
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The Op-Amp circuit shown in figure is a filter. The type of filter and its cut-off frequency are respectively.
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Given the ideal operational amplifier circuit shown in figure, indicate the correct transfer characteristics assuming id
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Which of the following analog modulation scheme requires the minimum transmitted power and minimum channel bandwidth?
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A device with input x(t) and output y(t) is characterized by: y(t) = x2(t). An FM signal with frequency deviation of 90
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A carrier is phase modulated (PM) with frequency deviation of 10 kHz by a single tone frequency of 1 kHz. If the single
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An output of a communication channel is a random variable 'V' with the probability density function as shown in the figu
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Noise with uniform power spectral density of N0 W/Hz is passed through a filter H(ω ) = 2exp (-jωtd) followed by an ide
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A signal as shown in figure is applied to a matched filter. Which of the following does represent the output of this mat
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A symmetric three-level midtread quantizer is to be designed assuming equiprobable occurrence of all quantization levels
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A symmetric three-level midtread quantizer is to be designed assuming equiprobable occurrence of all quantization levels
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Despite the presence of negative feedback, control systems still have problems of instability because the
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A ramp input applied to an unity feedback system results in 5% steady state error. The type number and zero frequency ga
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In the derivation of expression for peak percent overshoot,$$M_p=exp\left(\frac{-\mathrm{πξ}}{\sqrt{1-\xi^2}}\right)\ti View Question A unity feedback system is given as,$$$G\left(s\right)=\frac{K\left(1-s\right)}{s\left(s+3\right)}$$indicate the corre View Question Which one of the following polar diagrams corresponds to a lag network? View Question The open loop transfer function of a unity feedback system is given by g(s)=$${{3{e^{ - 2s}}} \over {s\left( {s + 2} \ri View Question The polar diagram of a conditionally stable system for open loop gain K=1 is shown in figure. The open loop transfer fun View Question The open loop transfer function of a unity feedback system is given by G(s)=$${{3{e^{ - 2s}}} \over {s\left( {s + 2} \r View Question A double integrator plant,$$G(s) = {K \over {{s^2}}},H(s) = 1$$is to be compensated to achieve the damping ratio$$\ View Question A linear system is equivalently represented by two sets of state equations. $$\mathop x\limits^ \bullet = \,\,{\rm A}X View Question Decimal 43 in Hexadecimal and BCD number system is respectively View Question The Boolean expression for the truth table shown is .tg {border-collapse:collapse;border-spacing:0;} .tg td{font-famil View Question The Boolean function f implemented in the figure using two input multiplexers is View Question The given figure shows a ripple counter using positive edge triggered flip-flops. If the present state of counter is Q2 View Question The present output Qn of an edge triggered JK flip-flop is logic 0. If J=1, then Qn+1 View Question Both transistors T1 and T2 in figure have a threshold voltage of 1 Volt. The device parameters$${K_1}$$and$${K_2}$$o View Question The transistors used in a portion of the TTL gate shown in figure have β=100. the base-emitter voltage of is 0.7V for a View Question Many circles are drawn in a Smith chart used for transmission line calculations. The circles shown in Fig. represent View Question The magnetic field intensity vector of a plane wave is given by$$\overline H \left( {x,y,z,t View Question Characteristic impedance of a transmission line is 50$$\Omega$$. Input impedance of the open-circuited line is $${Z_{oc View Question Voltage standing wave pattern in a lossless transmission line with characteristic impedance 50$$\Omega $$and a resisti View Question Voltage standing wave pattern in a lossless transmission line with characteristic impedance 50$$\Omega $$and a resisti View Question Refractive index of glass is 1.5. Find the wavelength of a beam of light with a frequency of$${10^{14}}$$Hz in glass. View Question Which one of the following does represent the electric field lines for the$$T{E_{02}}$$mode in the cross-section of a View Question Two identical and parallel dipole antennas are kept apart by a distance$$\lambda /4$$of in the H-plane. They are fed w View Question The primary reason for the widespread use of Silicon in semiconductor device technology is View Question A Silicon PN junction at a temperature of 20°C has a reverse saturation current of 10 pico-Amperes (pA). The reverse sat View Question The band gap of Silicon at room temperature is: View Question A silicon sample 'A' is doped with 1018 atoms/cm3 of Boron. Another sample 'B' of identical dimensions is doped with 101 View Question The Zener diode in the regulator circuit shown in figure has a Zener voltage of 5.8 Volts and a Zener knee current of 0. View Question A Silicon PN junction diode under reverse bias has depletion region of width 10 µm. The relative permittivity of Silicon View Question A MOS capacitor made using p-type substrate is in the accumulation mode. The dominant charge in the channel is due to th View Question Given the matrix$$\left[ {\matrix{ { - 4} &amp; 2 \cr 4 &amp; 3 \cr } } \right],$$the eigen vector is View Question Given an orthogonal matrix$$A = \left[ {\matrix{ 1 &amp; 1 &amp; 1 &amp; 1 \cr 1 &amp; 1 &amp; { - 1} &amp; { - View Question If $$A = \left[ {\matrix{ 2 &amp; { - 0.1} \cr 0 &amp; 3 \cr } } \right]$$ and $${A^{ - 1}} = \left[ {\matri View Question The value of the integral$$1 = {1 \over {\sqrt {2\pi } }}\,\,\int\limits_0^\infty {{e^{ - {\raise0.5ex\hbox{$\scriptst
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$$\nabla \times \left( {\nabla \times P} \right)\,\,$$ where $$P$$ is a vector is equal to
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A fair dice is rolled twice. The probability that an odd number will follow an even number is
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A solution of the differential equation $${{{d^2}y} \over {d{x^2}}} - 5{{dy} \over {dx}} + 6y = 0\,$$ is given by
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The following differential equation has $$3{{{d^2}y} \over {d{t^2}}} + 4{\left( {{{dy} \over {dt}}} \right)^3} + {y^2} + View Question Match the following and choose the correct combination Group$$-{\rm I}E.$$Newton$$-$$Raphson method$$F.$$View Question In what range should$$Re(s)$$remain so that the laplace transform of the function$${e^{\left( {a + 2} \right)t + 5}}$View Question The Dirac delta Function $$\delta \left( t \right)$$ is defined as View Question What memory address range is NOT represented by chip 1 and chip 2 in figure? A0 to A15 in this figure are the address li View Question Consider an 8085 microprocessor system The following program starts at locaton 0100H. LXI SP, 00FF LXI H, 0107 MVI View Question Consider an 8085 microprocessor system If in addition following code exists from 0109H onwards ORI 40H, ADD M What wi View Question Impedance Z as shown in the figure is: View Question The maximum power that can be transferred to the load resistor RL from the voltage source in figure is View Question For the circuit shown in figure, Thevenin’s voltage and Thevenin’s equivalent resistance at terminals a – b is View Question The condition on R, L and C such that the step response y(t) in figure has no oscillations, is View Question A square pulse of 3 volts amplitude is applied to C-R circuit shown in figure. The capacitor is initially uncharged. The View Question If R1 = R2 = R4 = R and R3 = 1.1R in the bridge circuit shown in figure, then the reading in the ideal voltmeter connect View Question In a series $$RLC$$ circuit $$R = 2\,k\Omega ,\,\,\,L = \,1H$$ and $$C = \,1/400\,\mu F.$$ The resonant frequency is View Question For the circuit in figure, the phase current $${{\rm I}_1}$$ is View Question The ABCD parameters of an ideal n:1 transformer shown in Fig. are $$\left[ {\matrix{ n &amp; 0 \cr 0 &amp; X \c View Question The h parameters of the circuit shown in Fig. are View Question Choose the function f (t );−$$\infty$$&lt; 1 &lt; +$$\infty$$, for which a Fourier series cannot be defined. View Question Let x(n) =$${\left( {{1 \over 2}} \right)^n}$$u(n), y(n) =$${x^2}$$, and Y ($$({e^{j\omega }})\,$$be the Fourier tra View Question In what range should Re(s) remain so that the Laplace transform of the function e(a+2)t+5 exists? View Question A sequence x(n) has non-zero values as shown in Fig. The sequence$$$y(n)=\left\{\begin{array}{l}x\left(\frac n2-1\ri
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A sequence x(n) has non-zero values as shown in figure. 1 The Fourier transform of y(2n) will be
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The region of convergence of z-transform of the sequence $${\left( {{5 \over 6}} \right)^n}u(n) - {\left( {{6 \over 5}} View Question Which of the following can be impulse response of a causal system? View Question The output y(t) of a linear time invariant system is related to its input x(t) by the following equation: y(t) = 0.5 x View Question For a signal x(t) the Fourier transform is X(f). Then the inverse Fourier transform of X(3f+2) is given by View Question A signal x(n)$$ = \sin ({\omega _0}\,n + \phi )$$is the input to a linear time-invariant system having a frequency resp View Question The function x(t) is shown in Fig. Even and odd parts of a unit-step function u(t) are respectively. View Question The derivative of the symmetric function drawn in Fig .1 will look like View Question The value of the integral$$\,I = {1 \over {\sqrt {2\,\,\pi } }}\int\limits_0^\infty {\exp \left( { - {{{x^2}} \over 8}
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Match the following and choose the correct combination. GROUP 1 E- continuous and aperiodic signal F- continuous
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