GATE EE 2010
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## GATE EE

Assuming that the diodes an ideal in the given circuit, the voltage $${V_0}$$ is
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The transistor circuit shown uses a silicon transistor with $${V_{BE}} = 0.7V,{{\rm I}_C} \approx {{\rm I}_E}$$ and a $$View Question Given that the op-amp is ideal, the$$O/P$$voltage$${V_0}$$is View Question As shown in the figure, a negative feedback system has an amplifier of gain$$100$$with$$ \pm 10\% $$tolerance in the View Question For the system$${2 \over {\left( {s + 1} \right)}},$$the approximate time taken for a step response to reach$$98$$% o View Question The characteristic equation of a closed-loop system is$$s\left( {s + 1} \right)\left( {s + 3} \right) + \,\,k\left( {s
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The frequency response of $$G\left( s \right) = 1/\left[ {s\left( {s + 1} \right)\left( {s + 2} \right)} \right]$$ plott
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The system $$\mathop X\limits^ \bullet = AX + BU$$ with $$A = \left[ {\matrix{ { - 1} &amp; 2 \cr 0 &amp; 2 View Question A minimized form of the function$$F$$is View Question Which of the following circuits is a realization of the previous function$$F?$$View Question The$$TTL$$circuit shown in the figure is fed with the waveform$$X$$(also shown). All gates have equal propagation de View Question When a$$''CALLaddr'$$instruction is executed, the$$CPU$$carries out the following sequential operations interna View Question If the electrical circuit of figure (b) is an equivalent of the coupled tank system of figure (a), then View Question As shown in the figure, a 1 Ω resistance is connected across a source that has a load line v + i = 100. The current thro View Question If the 12 Ω resistor draws a current of 1A as shown in the figure, the value of resistance R is View Question The switch in the circuit has been closed for a long time. It is opened at t = 0. At t = 0+, the current through the 1μF View Question The two-port network P shown in the figure has ports 1 and 2, denoted by terminals (a, b) and (c, d), respectively. It h View Question An ammeter has a current range of$$0$$-$$5A,$$and its internal resistance is$$0.2\Omega $$. In order to change the ra View Question The Maxwell's bridge shown in the fig. is at balance, the parameters of the inductive coil are View Question A wattmeter is connected as shown in the fig. the wattmeter reads View Question A separately excited DC motor runs at 1500 rpm under no-load with 200 V applied to the armature. The field voltage is ma View Question A separately excited DC motor runs at 1500 rpm under no-load with 200 V applied to the armature. The field voltage is ma View Question A single-phase transformer has a turns ratio of 1:2, and is connected to a purely resistive load as shown in the figure. View Question A balanced star-connected and purely resistive load is connected at the secondary of a star-delta transformer as shown i View Question A balanced three-phase voltage is applied to a star-connected induction motor, the phase to neutral voltage being V. The View Question A separately excited$$dc$$machine is coupled to a$$50Hz,$$three-phase, 4-pole induction machine as shown in the figu View Question A$$50Hz$$synchronous generator is initially connected to a long lossless transmission line which is open circuite View Question Divergence of the three-dimentional radial vector field$$\overrightarrow F$$is View Question For the set of equations$$${x_1} + 2{x_2} + {x_3} + 4{x_4} = 2,$3{x_1} + 6{x_2} + 3{x_3} + 12{x_4} = 6.$$The f View Question An eigen vector of$$p = \left[ {\matrix{ 1 &amp; 1 &amp; 0 \cr 0 &amp; 2 &amp; 2 \cr 0 &amp; 0 &amp; 3 \c
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The value of the quantity, where $$P = \int\limits_0^1 {x{e^x}\,dx\,\,\,}$$ is
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At $$t=0,$$ the function $$f\left( t \right) = {{\sin t} \over t}\,\,$$ has
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Divergence of the $$3$$ $$-$$ dimensional radial vector field $$\overrightarrow r$$ is
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A box contains $$4$$ white balls and $$3$$ red balls. In succession, two balls are randomly selected and removed from th
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For the differential equation $${{{d^2}x} \over {d{t^2}}} + 6{{dx} \over {dt}} + 8x = 0$$ with initial conditions $$x( View Question Given$$f\left( t \right) = {L^{ - 1}}\left[ {{{3s + 1} \over {{s^3} + 4{s^2} + \left( {k - 3} \right)}}} \right].
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Figure shows a composite switch consisting of a power transistor $$(BJT)$$ in series with a diode. Assuming that the tra
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The fully controlled thyristor converter in the figure is fed from a single-phase source. When the firing angle is $${0^ View Question The power electronic converter shown in the figure has a single-pole double-throw switch. The pole$$P$$of the switch i View Question The L-C circuit shown in the figure has an inductance$$L=1mH$$and a capacitance$$C = 10\mu F.$$The initial current t View Question The L-C circuit shown in the figure has an inductance$$L=1mH$$and a capacitance$$C = 10\mu F.$$The$$L$$-$$C$$circu View Question Consider two buses connected by an impedance of$$\left( {0 + j5} \right)\Omega .$$The bus$$1$$voltage is$$100\a
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Consider a step voltage wave of magnitude $$1$$ pu travelling along a loss less transmission line that terminates in a r
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Consider a three-core, three phase, $$50$$ $$Hz$$, $$11$$ $$kV$$ cable whose conductors are denoted as $$R, Y$$ and $$B View Question A$$50Hz$$synchronous generator is initially connected to a long lossless transmission line which is open circuite View Question Consider a three-phase,$$50Hz,11kV$$distribution system. Each of the conductors is suspended by an insulator View Question The zero-sequence circuit of the three phase transformer shown in the figure is View Question A three-phase,$$33$$kV oil circuit breaker is rated$$1200$$A,$$2000$$MVA,$$3$$s. The symmetrical breaking current View Question Consider a stator winding of an alternator with an internal high resistance ground fault. The currents under the fault c View Question Power is transferred from system$$A$$to system$$B$$by an$$HVDC$$link as shown in the figure. If the voltage$${V_{
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For the power system shown in the figure below, the specifications of the components are the following: $$G1: 25$$ $$kV, View Question For the system$$\frac2{\left(s+1\right)}$$, the approximate time taken for a step response to reach 98% of its final va View Question Given the finite length input x[n] and the corresponding finite length output y[n] of an LTI system as shown below, the View Question The system represented by the input-output relationship$$y\left(t\right)=\int_{-\infty}^{5t}x\left(\tau\right)d\tau$$, View Question The period of the signal$$x\left(t\right)=8\sin\left(0.8\mathrm{πt}+\frac{\mathrm\pi}4\right)$$is View Question The second harmonic component of the periodic waveform given in the figure has an amplitude of View Question x(t) is a positive rectangular pulse from t = -1 to t = +1 with unit height as shown in the figure. The value of$$\int_
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Given f(t) and g(t)as shown below: The Laplace transform of g(t) is
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Given f(t) and g(t)as shown below: g(t) can be expressed as
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