GATE ECE 1999
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## GATE ECE

A dc power supply has a no-load voltage of 30V, and a full-load voltage of 25 V at a full-load current of 1A. Its output
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A bipolar junction transistor amplifier circuit is shown in the figure. Assume that the current source Ibias is ideal,
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An NPN transistor (with $${C_\pi }\,\, = \,\,0.3\,\,$$ pf) has a unity gain cutoff frequency $${f_T}$$ of 400 MHz at a
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An amplifier is assumed to have a single pole high frequency transfer function. The rise time of its output response to
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The first dominant pole encountered in the frequency response of a compensated op-amp is approximately at
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An amplifier has an open loop gain of 100, an input impedance of 1 k$$_\Omega$$, and an output impedance of 100 $$_\Ome View Question Negative feedback in an amplifier View Question Crossover distortion behavior is characteristic of View Question A modulated signal is given by,$$s\left(t\right)=m_1\left(t\right)\cos\left(2{\mathrm{πf}}_\mathrm c\mathrm t\right)\;+
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Four independent messages have bandwidths of 100Hz, 100 Hz, 200Hz and 400Hz respectively. Each is sampled at the Nyquist
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The peak-to-peak input to an 8-bit PCM coder is 2 volts . The signal power - to -quantization noise power ratio (in dB)
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The input to a matched filter is given by $$S\left( t \right) = \left\{ {\matrix{ {10\sin \left( {2\pi \times {{10 View Question Consider the points s1 = −3 + j4 and s2 = −3 − j2 in the s-plane. Then, for a system with the open loop transfer functio View Question For a second-order system with the closed-loop transfer function$$$T\left(s\right)=\frac9{s^2+4s+9}$$the settling ti View Question If the closed-loop transfer function T(s) of a unity negative feedback system is given by$$$T\left(s\right)=\frac{a_{n-
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The loop transfer function of a feedback control system is given by $$G\left(s\right)H\left(s\right)=\frac{K\left(s+1\r View Question The gain margin of a system having the loop transfer function G(s)H(s) =$${{\sqrt 2 } \over {s(s + 1)}}$$is View Question The phase margin (in degrees) of a system having the loop transfer function is$$G(s)H(s) = {{2\sqrt 3 } \over {s(s + 1)
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The asymptotic bode plot of the minimum phase open-loop transfer function G(s)H(s) is as shown in the figure. Obtain the
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Consider a feedback system with the open loop transfer function given by $$G(s)H(s) = {K \over {s\left( {2s + 1} \right) View Question The system mode described by the state equations$$$X = \left( {\matrix{ 0 &amp; 1 \cr 2 &amp; { - 3} \cr } View Question For the system described by the state equation $$\mathop x\limits^ \bullet = \left[ {\matrix{ 0 &amp; 1 &am View Question The Logical expression$$Y = A + \overline A B$$is equivalent to View Question For a binary half-subtractor having two inputs A and B, the correct set of Logical expressions for the output D(=Aminus View Question The minimized form of the logical expression ($$\overline A \,\overline B \,\overline C + B\overline C + \overline A B View Question In certain application, four inputs A, B, C, D (both true and complement forms available)are fed to logic circuit, produ View Question For a binary half-sub-tractor having two inputs A and B, the correct set of logical expressions for the outputs D (=A m View Question The ripple counter shown in the figure works as a View Question Commercially available ECL gates use two ground lines and one negative supply in order to View Question A Darlington Emitter follower circuit is sometimes used in the output stage of a TTL gate in order to View Question The resolution of a 4-bit counting ADC is 0.5 Volts. For an analog input of 6.6 Volts, the digital output of the ADC wil View Question The circuit diagram of a synchronous counter is shown in the figure. Determine the sequence of states of the counter ass View Question An electric field on a plane is described by its potential V = $$20\left(r^{-1}\;+\;r^{-2}\right)$$ where r is the dista View Question Assuming perfect conductors of a transmission line, pure TEM propagation is NOT possible in View Question In a twin-wire transmission line in air, the adjacent voltage maxima are at 12.5 cm and 27.5. The operating frequency is View Question In air, a lossless transmission line of length 50 cm with $$L = 10\,\mu H/m,\,\,C = 40\,\,pF/m$$ is operated at 25 MHz. View Question Identify which one of the following will NOT satisfy the wave equation. View Question Indicate which one of the following modes do NOT exist in a rectangular resonant cavity. View Question A plane wave in free space with $$\overrightarrow E = \left( {\sqrt \pi } \right)\left( {10.0\,\widehat x + 11.8\,\wi View Question A transmitting antenna radiates 251 W isotropically. A receiving antenna, located 100m away from the transmitting antenn View Question The average power of an omni-directional antenna varies as the magnitude of cos($$\theta $$) where$$\theta $$is the az View Question A 100 m section of an air-filled rectangular wave-guide operating in the$$T{E_{10}}$$mode has a cross-sectional dimens View Question An n-channel JEFT has IDSS = 2 mA and Vp = −4 V. It's transconductance gm (in mA/V) for an applied gate-to-source voltag View Question If$$\,\,L\left\{ {f\left( t \right)} \right\} = F\left( s \right)$$then$$\,\,\,L\left\{ {f\left( {t - T} \right)} \ri View Question If $$CS\;=\overline{A_{15}}\;A_{14}\;A_{13}$$ is used as the chip select logic of a 4K RAM in an 8085 system, then its m View Question The value of R (in ohms) required for maximum power transfer in the network shown in Fig. is View Question The Thevenin equivalent voltage VTH appearing between the terminals A and B of the network shown in Fig. is given by View Question For the network shown in Fig., evaluate the current I flowing through the 2Ω resistor using superposition theorem. View Question A Delta-connected network with its Wye-equivalent is shown in Fig.P2.4. The resistance R1, R2 and R3 (in ohms) are respe View Question Identify which of the following is NOT a true of the graph shown in Fig. View Question In the circuit of figure, the switch $$'S'$$ has remained open for a long time. The switch closes instantaneously at $$View Question A 2-port network is shown in figure. The parameter$${h_{21}}$$for this network can be given by View Question A coil with a quality factor$$(Q)$$of$$10$$is put in series with a capacitor$${C_1}$$of$$10\,\,\mu F,$$and the c View Question A modulated signal is given by s(t)=$${e^{ - at}}$$cos$$\left[ {({\omega _c} + \Delta \omega )t} \right]$$u (t), whe View Question A signal x(t) has a Fourier transform X ($$\omega $$). If x(t) is a real and odd function of t, then X($$\omega $$) is View Question$$If\,\,L\left[ {f\left( t \right)} \right]\, = \,F\left( s \right),$$then$$L\left[ {f\left( {t - T} \right)} \right]$
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The z-transform F(z) of the function f(nT) = $${a^{nT}}$$ is
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The z-transform of a signal is given by c(z)=$${1 \over 4}{{{z^{ - 1}}(1 - {z^{ - 4}})} \over {{{(1 - {z^{ - 1}})}^2}}} View Question The input to a channel is a band pass signal. It is obtained by linearly modulating a sinusoidal carrier with a signal- View Question The input to a matched filter is given by$$s(t) = \left\{ {\matrix{ {10\sin (2\pi \times {{10}^6}t),} &amp; {0 &lt;
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The Nyquist sampling frequency (in Hz) of a signal given by 16 \times {10^{4\,}}\,\sin {c^2}(400t)*{10^6}\,\sin {c^3}(
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