GATE ECE 2000

## GATE ECE

Introducing a resistor in the emitter of a common amplifier, stabilizes the dc operating point against variations in

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In the circuit shown in the figure assume that the transistor is in
the active region. It has a large β and its base Emi

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For the amplifier of given figure,$${I_C}\, = \,1.3\,mA,\,{R_C}\, = \,2\,k\Omega ,\,{R_E}\, = \,500\,\Omega ,$$ $${V_T}

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The current gain of a bipolar transistor drops at high frequencies because of

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If the Op-Amp in the figure, is ideal, than V0 is

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In the circuit of figure V0 is

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The most commonly used Amplifier in sample and hold circuit is

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If the Op-Amp in the figure has an input offset voltage of 5 mV and an open-loop voltage gain of 10,000, V0 will be

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In an FM system, a carrier of 100 MHz is modulated by a sinusoidal signal of 5
KHz. The bandwidth by Carson’s approximat

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In a digital communication system employing Frequency Shift Keying (FSK), the 0 and 1 bit are represented by sine waves

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A linear time invariant system has an impulse response e2t, t > 0. If the initial
conditions are zero and the input i

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An amplifier with resistive negative feedback has two left half-plane poles in its
open-loop transfer function. The ampl

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The block diagram of a feedback system is shown in Figure.
(a) Find the closed loop transfer function.
(b) Find the mi

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For the linear, time-invariant system whose block diagram is shown in Fig.
with input x(t) and output y(t),
(a) Find t

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A system described by the transfer function
$$$H\left(s\right)=\frac1{s^3+\alpha s^2+ks+3}$$$ is stable. The constraints

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A certain linear, time-invariant system has the state and output representation shown below:
$$$\eqalign{
& \left[

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For the logic circuit shown in Figure, the required input condition (A, B, C) to make the output (X)=1.

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For the logic circuit shown in the figure, the simplified Boolean expression for the output Y is

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The operating conditions (ON = 1, OFF = 0) of three pumps (x,y,z) are to be
monitored. x = 1 implies that pump X is on.

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A sequential circuit using D flip-flop and logic gates is shown in the figure, where X and Y are the inputs and Z is the

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In the figure, the J and K inputs of all the four Flip-Flops are made high. The frequency of the signal at output Y is

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The number of comparators in 4-bit flash ADC is

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For the 4 bit DAC shown in Figure, the output voltage $${V_0}$$ is

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A TEM wave is incident normally upon a perfect conductor. The E and H fields at the boundary will be respectively

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The magnitudes of the open-circuit and short-circuit input impedances of a transmission line are 100$$\Omega \,$$ and 25

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A uniform plane wave in air impinges at 45° angle on a lossless dielectric material with dielectric constant $${\varepsi

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The three regions shown in Fig. are all lossless and non-magnetic. Find
(a) Wave impedance in mediums 2 and 3.
(b) d

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A rectangular waveguide has dimensions $$1\,\,cm\,\, \times \,\,0.5\,\,cm$$. Its cut-off frequency is

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The half-power beam widths (HPBW) of an antenna in the two orthogonal planes are $${100^ \circ }$$ and $${60^ \circ }$$

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For an 8 feet (2.4 m) parabolic disk antenna operating at 4 GHz, the minimum distance required for far field measurement

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If the diameter of a $$\lambda /2$$ dipole antenna is increased from $$\lambda /100$$ to $$\lambda /50$$ then is

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The eigen values of the matrix $$\left[ {\matrix{
2 & { - 1} & 0 & 0 \cr
0 & 3 & 0 & 0

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$$\int\limits_0^{{\raise0.5ex\hbox{$\scriptstyle \pi $}
\kern-0.1em/\kern-0.15em
\lower0.25ex\hbox{$\scriptstyle 2$}}} {

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If $$\,\,\,$$ $$L\left\{ {f\left( t \right)} \right\} = {{s + 2} \over {{s^2} + 1}},\,\,L\left\{ {g\left( t \right)} \r

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The number of hardware interrupts (which require an external signal to interrupt)
present in an 8085 microprocessor are

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In the 8085 microprocessor, the RST6 instruction transfers the program
execution to the following location

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In the circuit of Fig., the value of the voltage source E is

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In the circuit of Fig., the votage v(t) is

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For the circuit in Fig. the voltage V0 is

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Use the data of Fig.(a). The current i in the circuit of Fig.(b) is

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The circuit of Fig. represents a

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For the circuit in Fig., write the state equations using vc
and iL as state variables.

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For the circuit in Fig.
(a) Find the Thevenin equivalent of the sub circuit faced by the capacitor across
the terminals

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The network $$N$$ in Fig. consists only of two elements: a resistor of $$1\Omega $$ and an inductor of L Henry. $$A$$ $$

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In Fig., the steady state output voltage corresponding to the input voltage $$\left( {3 + 4\sin \,\,100\,t} \right)$$ $$

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For the circuit in Fig. Which is in steady state,
(a)Find the frequency $${\omega _0}$$ at which the magnitude of the

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Given that $$L\left[ {f\left( t \right)} \right]\, = \,$$ $${{s + 2} \over {{s^2} + 1}},$$
$$$L\left[ {g\left( t \right

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A system with an input x(t) and an output y(t) is described by the relation: y(t) = t x(t). This system is

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The Fourier Transform of the signal $$x(t) = {e^{ - 3{t^2}}}$$ is of the following form, where A
and B are constants:

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A linear time invariant system has an impulse response $${e^{2t}},\,\,t\, > \,0.$$ If the initial conditions are zero

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Let u(t) be the unit step function. Which of the waveforms in Fig.(a) -(d) corresponds to the convolution of $$\left[ {u

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The Hilbert transform of $$\left[ {\cos \,{\omega _1}t + \,\sin {\omega _2}t\,} \right]$$ is

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For the linear, time-invariant system whose block diagram is shown in Fig.(a),
with input x(t) and output y(t).
(a) Find

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A system has a phase response given by $$\phi \,(\omega )$$ where $$\omega $$ is the angular frequency. The phase delay

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A band limited signal x(t) with a spectrum X(f) as shown in Fig. a is processed as shown in Fig.b. p(t) is a periodic tr

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