GATE ECE 2000
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## 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,$${I_C}\, = \,1.3\,mA,\,{R_C}\, = \,2\,k\Omega ,\,{R_E}\, = \,500\,\Omega ,$$ $${V_T} View Question The current gain of a bipolar transistor drops at high frequencies because of View Question If the Op-Amp in the figure, is ideal, than V0 is View Question In the circuit of figure V0 is View Question The most commonly used Amplifier in sample and hold circuit is View Question If the Op-Amp in the figure has an input offset voltage of 5 mV and an open-loop voltage gain of 10,000, V0 will be View Question In an FM system, a carrier of 100 MHz is modulated by a sinusoidal signal of 5 KHz. The bandwidth by Carson’s approximat View Question In a digital communication system employing Frequency Shift Keying (FSK), the 0 and 1 bit are represented by sine waves View Question A linear time invariant system has an impulse response e2t, t &gt; 0. If the initial conditions are zero and the input i View Question An amplifier with resistive negative feedback has two left half-plane poles in its open-loop transfer function. The ampl View Question The block diagram of a feedback system is shown in Figure. (a) Find the closed loop transfer function. (b) Find the mi View Question For the linear, time-invariant system whose block diagram is shown in Fig. with input x(t) and output y(t), (a) Find t View Question A system described by the transfer function$$$H\left(s\right)=\frac1{s^3+\alpha s^2+ks+3}$$is stable. The constraints View Question A certain linear, time-invariant system has the state and output representation shown below:$$$\eqalign{ &amp; \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 $${\varepsi View Question The three regions shown in Fig. are all lossless and non-magnetic. Find (a) Wave impedance in mediums 2 and 3. (b) d View Question A rectangular waveguide has dimensions$$1\,\,cm\,\, \times \,\,0.5\,\,cm$$. Its cut-off frequency is View Question The half-power beam widths (HPBW) of an antenna in the two orthogonal planes are$${100^ \circ }$$and$${60^ \circ }$$View Question For an 8 feet (2.4 m) parabolic disk antenna operating at 4 GHz, the minimum distance required for far field measurement View Question If the diameter of a$$\lambda /2$$dipole antenna is increased from$$\lambda /100$$to$$\lambda /50$$then is View Question The eigen values of the matrix$$\left[ {\matrix{ 2 &amp; { - 1} &amp; 0 &amp; 0 \cr 0 &amp; 3 &amp; 0 &amp; 0
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$$\int\limits_0^{{\raise0.5ex\hbox{\pi } \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{2}}} { View Question If$$\,\,\,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. $$A$$ $$View Question In Fig., the steady state output voltage corresponding to the input voltage$$\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 $$L\left[ {f\left( t \right)} \right]\, = \,$$ $${{s + 2} \over {{s^2} + 1}},$$ $$L\left[ {g\left( t \right View Question A system with an input x(t) and an output y(t) is described by the relation: y(t) = t x(t). This system is View Question The Fourier Transform of the signal$$x(t) = {e^{ - 3{t^2}}}$$is of the following form, where A and B are constants: View Question A linear time invariant system has an impulse response$${e^{2t}},\,\,t\, &gt; \,0.$$If the initial conditions are zero View Question Let u(t) be the unit step function. Which of the waveforms in Fig.(a) -(d) corresponds to the convolution of$$\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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