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$$carries out the following sequential operations interna View Question As shown in the figure, a 1 Ω resistance is connected across a source that has a load line v + i = 100. The current thro View Question If the electrical circuit of figure (b) is an equivalent of the coupled tank system of figure (a), then View Question If the 12 Ω resistor draws a current of 1A as shown in the figure, the value of resistance R is View Question The switch in the circuit has been closed for a long time. It is opened at t = 0. At t = 0+, the current through the 1μF View Question The two-port network P shown in the figure has ports 1 and 2, denoted by terminals (a, b) and (c, d), respectively. It h View Question An ammeter has a current range of$$0$$-$$5A,$$and its internal resistance is$$0.2\Omega $$. In order to change the ra View Question The Maxwell's bridge shown in the fig. is at balance, the parameters of the inductive coil are View Question A wattmeter is connected as shown in the fig. the wattmeter reads View Question A separately excited DC motor runs at 1500 rpm under no-load with 200 V applied to the armature. The field voltage is ma View Question A separately excited DC motor runs at 1500 rpm under no-load with 200 V applied to the armature. The field voltage is ma View Question A single-phase transformer has a turns ratio of 1:2, and is connected to a purely resistive load as shown in the figure. View Question A balanced star-connected and purely resistive load is connected at the secondary of a star-delta transformer as shown i View Question A balanced three-phase voltage is applied to a star-connected induction motor, the phase to neutral voltage being V. The View Question A$$50Hz$$synchronous generator is initially connected to a long lossless transmission line which is open circuite View Question A separately excited$$dc$$machine is coupled to a$$50Hz,$$three-phase, 4-pole induction machine as shown in the figu View Question Divergence of the three-dimentional radial vector field$$\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$$circu View Question Consider a step voltage wave of magnitude$$1$$pu travelling along a loss less transmission line that terminates in a r View Question Consider two buses connected by an impedance of$$\left( {0 + j5} \right)\Omega .$$The bus$$1$$voltage is$$100\a
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Consider a 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$$, View Question The second harmonic component of the periodic waveform given in the figure has an amplitude of View Question The period of the signal$$x\left(t\right)=8\sin\left(0.8\mathrm{πt}+\frac{\mathrm\pi}4\right)$$is View Question x(t) is a positive rectangular pulse from t = -1 to t = +1 with unit height as shown in the figure. The value of$$\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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