GATE ECE 1999

## 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

View Question
A bipolar junction transistor amplifier circuit is shown in the figure. Assume that the current source Ibias is ideal,

View Question
An NPN transistor (with $${C_\pi }\,\, = \,\,0.3\,\,$$ pf) has a unity gain cutoff frequency $${f_T}$$ of 400 MHz at a

View Question
An amplifier is assumed to have a single pole high frequency transfer function.
The rise time of its output response to

View Question
The first dominant pole encountered in the frequency response of a compensated op-amp is approximately at

View Question
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)\;+

View Question
Four independent messages have bandwidths of 100Hz, 100 Hz, 200Hz and 400Hz respectively. Each is sampled at the Nyquist

View Question
The peak-to-peak input to an 8-bit PCM coder is 2 volts . The signal power - to -quantization noise power ratio (in dB)

View Question
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-

View Question
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)

View Question
The asymptotic bode plot of the minimum phase open-loop transfer function G(s)H(s) is as shown in the figure. Obtain the

View Question
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 & 1 \cr
2 & { - 3} \cr
}

View Question
For the system described by the state
equation $$$\mathop x\limits^ \bullet = \left[ {\matrix{
0 & 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]$

View Question
The z-transform F(z) of the function f(nT) = $${a^{nT}}$$ is

View Question
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),} & {0 <

View Question
The Nyquist sampling frequency (in Hz) of a signal given by $$16 \times {10^{4\,}}\,\sin {c^2}(400t)*{10^6}\,\sin {c^3}(

View Question