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 $$_\Ome
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Negative feedback in an amplifier
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Crossover distortion behavior is characteristic of
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A modulated signal is given by, $$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 $$$S\left( t \right) = \left\{ {\matrix{ {10\sin \left( {2\pi \times {{10
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Consider the points s1 = −3 + j4 and s2 = −3 − j2 in the s-plane. Then, for a system with the open loop transfer functio
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For a second-order system with the closed-loop transfer function $$$T\left(s\right)=\frac9{s^2+4s+9}$$$ the settling ti
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If the closed-loop transfer function T(s) of a unity negative feedback system is given by $$$T\left(s\right)=\frac{a_{n-
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The loop transfer function of a feedback control system is given by $$$G\left(s\right)H\left(s\right)=\frac{K\left(s+1\r
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The gain margin of a system having the loop transfer function G(s)H(s) =$${{\sqrt 2 } \over {s(s + 1)}}$$ is
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The phase margin (in degrees) of a system having the loop transfer function is $$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 $$G(s)H(s) = {K \over {s\left( {2s + 1} \right)
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The system mode described by the state equations $$$X = \left( {\matrix{ 0 & 1 \cr 2 & { - 3} \cr }
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For the system described by the state equation $$$\mathop x\limits^ \bullet = \left[ {\matrix{ 0 & 1 &am
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The Logical expression $$Y = A + \overline A B$$ is equivalent to
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For a binary half-subtractor having two inputs A and B, the correct set of Logical expressions for the output D(=Aminus
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The minimized form of the logical expression ($$\overline A \,\overline B \,\overline C + B\overline C + \overline A B
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In certain application, four inputs A, B, C, D (both true and complement forms available)are fed to logic circuit, produ
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For a binary half-sub-tractor having two inputs A and B, the correct set of logical expressions for the outputs D (=A m
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The ripple counter shown in the figure works as a
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Commercially available ECL gates use two ground lines and one negative supply in order to
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A Darlington Emitter follower circuit is sometimes used in the output stage of a TTL gate in order to
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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
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The circuit diagram of a synchronous counter is shown in the figure. Determine the sequence of states of the counter ass
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An electric field on a plane is described by its potential V = $$20\left(r^{-1}\;+\;r^{-2}\right)$$ where r is the dista
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Assuming perfect conductors of a transmission line, pure TEM propagation is NOT possible in
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In a twin-wire transmission line in air, the adjacent voltage maxima are at 12.5 cm and 27.5. The operating frequency is
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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.
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Identify which one of the following will NOT satisfy the wave equation.
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Indicate which one of the following modes do NOT exist in a rectangular resonant cavity.
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A plane wave in free space with $$\overrightarrow E = \left( {\sqrt \pi } \right)\left( {10.0\,\widehat x + 11.8\,\wi
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A transmitting antenna radiates 251 W isotropically. A receiving antenna, located 100m away from the transmitting antenn
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The average power of an omni-directional antenna varies as the magnitude of cos($$\theta $$) where $$\theta $$ is the az
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A 100 m section of an air-filled rectangular wave-guide operating in the $$T{E_{10}}$$ mode has a cross-sectional dimens
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An n-channel JEFT has IDSS = 2 mA and Vp = −4 V. It's transconductance gm (in mA/V) for an applied gate-to-source voltag
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If $$\,\,L\left\{ {f\left( t \right)} \right\} = F\left( s \right)$$ then $$\,\,\,L\left\{ {f\left( {t - T} \right)} \ri
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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
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The value of R (in ohms) required for maximum power transfer in the network shown in Fig. is
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The Thevenin equivalent voltage VTH appearing between the terminals A and B of the network shown in Fig. is given by
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For the network shown in Fig., evaluate the current I flowing through the 2Ω resistor using superposition theorem.
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A Delta-connected network with its Wye-equivalent is shown in Fig.P2.4. The resistance R1, R2 and R3 (in ohms) are respe
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Identify which of the following is NOT a true of the graph shown in Fig.
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In the circuit of figure, the switch $$'S'$$ has remained open for a long time. The switch closes instantaneously at $$
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A 2-port network is shown in figure. The parameter $${h_{21}}$$ for this network can be given by
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A coil with a quality factor $$(Q)$$ of $$10$$ is put in series with a capacitor $${C_1}$$ of $$10\,\,\mu F,$$ and the c
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A modulated signal is given by s(t)= $${e^{ - at}}$$ cos $$\left[ {({\omega _c} + \Delta \omega )t} \right]$$ u (t), whe
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A signal x(t) has a Fourier transform X ($$\omega $$). If x(t) is a real and odd function of t, then X($$\omega $$) is
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$$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)=$${1 \over 4}{{{z^{ - 1}}(1 - {z^{ - 4}})} \over {{{(1 - {z^{ - 1}})}^2}}}$
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The input to a channel is a band pass signal. It is obtained by linearly modulating a sinusoidal carrier with a signal-
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The input to a matched filter is given by $$s(t) = \left\{ {\matrix{ {10\sin (2\pi \times {{10}^6}t),} & {0 <
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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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