GATE EE 2013
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## GATE EE

In the circuit shown below, the knee current of the ideal Zener diode is $$10$$ $$mA.$$ To maintain $$5 V$$ across $${R_ View Question A voltage$$1000\sin \omega t$$Volts is applied across$$YZ.$$Assuming ideal diodes, the voltage measured across$$WX\$
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In the circuit shown below what is the output voltage $$\left( {{V_{out}}} \right)$$ in Volts If a silicon transfer $$Q View Question In the circuit shown below the op-amps are ideal. Then$${V_{out}}$$in Volts is View Question In the feedback network shown below, if the feedback factor$$k$$is increased, then the View Question The transfer function$${{{V_2}\left( s \right)} \over {{V_1}\left( s \right)}}$$of the circuit shown below is View Question The signal flow graph for a system is given below. The transfer function$${{Y\left( s \right)} \over {U\left( s \right)
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The open-loop transfer function of a $$dc$$ motor is given as $${{\omega \left( s \right)} \over {{V_a}\left( s \right)} View Question The Bode plot of a transfer function$$G(s)$$is shown in the figure below. The gain is$$\left( {20\log \left| {G\le
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The state variable formulation of a system is given as $$\left[ {\matrix{ {\mathop {{x_1}}\limits^ \bullet } \cr View Question The state variable formulation of a system is given as$$\left[ {\matrix{ {\mathop {{x_1}}\limits^ \bullet } \cr
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A bulb in staircase has two switches, one switch being at the ground floor and the other one at the first floor. The bul
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The clock frequency applied to the digital circuit shown in the figure below is $$1$$ $$kHz.$$ If the initial state of t
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Consider a delta connection of resistors and it's equivalent star connection as shown below. If all elements of the delt
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Three capacitors C1, C2 and C3 whose values are 10μF, 5μF and 2μF respectively, have breakdown voltages of 10V, 5V and 2
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A source $$v_s\left(t\right)=V\cos100\mathrm{πt}$$ has an internal impedance of (4 + j3) Ω.If a purely resistive load co
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In the circuit shown below, if the source voltage $$V_s=100\angle53.12^\circ\;V$$ then the Thevenin’s equivalent voltage
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Two magnetically uncoupled inductive coils have Q factors q1 and q2 at the chosen operating frequency. Their respective
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The input impedance of the permanent magnet moving coil $$(PMMC)$$ voltmeter is infinite. Assuming that the diode shown
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Three moving iron type voltmeters are connected as shown below. Voltmeter readings are $$V,$$ $${V_1}$$ and $${V_2}$$ ,
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A strain gauge forms one arm of the bridge shown in the figure below and has a nominal resistance without any load as $$View Question A single-phase transformer has no-load loss of 64 W, as obtained from an open circuit test. When a short-circuit test is View Question The following arrangement consists of an ideal transformer and an attenuator which attenuates by a factor of 0.8. An ac View Question Leakage flux in an induction motor is View Question A 4-pole induction motor, supplied by a slightly unbalanced three-phase 50Hz source, is rotating at 1440 rpm. The electr View Question A dielectric slab with 500 mm x 500 mm cross-section is 0.4 m long. The slab is subjected to a uniform electric field of View Question The flux density at a point in space is given by$$\overrightarrow B=\;4x{\widehat a}_x\;+\;2ky{\widehat a}_y\;+\;8{\wid
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The equation $$\left[ {\matrix{ 2 &amp; { - 2} \cr 1 &amp; { - 1} \cr } } \right]\left[ {\matrix{ {{x_1}} View Question A matrix has eigen values$$-1$$and$$-2.$$The corresponding eigenvectors are$$\left[ {\matrix{ 1 \cr { - 1}
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A function $$y = 5{x^2} + 10x\,\,$$ is defined over an open interval $$x=(1,2).$$ At least at one point in this interval
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The curl of the gradient of the scalar field defined by $$\,V = 2{x^2}y + 3{y^2}z + 4{z^2}x$$ is
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Given a vector field $$\overrightarrow F = {y^2}x\widehat a{}_x - yz\widehat a{}_y - {x^2}\widehat a{}_z,$$ the line i
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A continuous random variable $$X$$ has a probability density function $$f\left( x \right) = {e^{ - x}},0 &lt; x &lt; \in View Question When the Newton-Raphson method is applied to solve the equation$$\,\,f\left( x \right) = {x^3} + 2x - 1 = 0,\,\,$$the View Question Square roots of$$-i,$$where$$i = \sqrt { - 1} $$are View Question$$\oint {{{{z^2} - 4} \over {{z^2} + 4}}} dz\,\,$$evaluated anticlockwise around the circular$$\left| {z - i} \right|
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Thyristor $$T$$ in the figure below is initially off and is triggered with a single pulse of width $$10\mu s.$$ It is gi
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In the figure shown below, the chopper feeds a resistive load from a battery source. $$MOSFET$$ $$Q$$ is switched at $$2 View Question In the figure shown below, the chopper feeds a resistive load from a battery source.$$MOSFETQ$$is switched at$$2
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The Voltage Source Inverter $$(VSI)$$ shown in the figure below is switched to provide a $$50$$ $$Hz,$$ square-wave $$ac View Question The Voltage Source Inverter$$(VSI)$$shown in the figure below is switched to provide a$$50Hz,$$square-wave$$ac
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A single load is supplied by a single voltage source. If the current flowing from the load to the source is $$10\angle View Question The angle$$\delta $$in the swing equation of a synchronous generator is the View Question In the following network, the voltage magnitudes at all buses are equal to$$1$$p.u., the voltage phase angles are very View Question For a power system network with$$n$$nodes,$${Z_{33}}$$of its bus impedance matrix is$$j0.5$$per unit. The voltage View Question In the following network, the voltage magnitudes at all buses are equal to$$1$$p.u., the voltage phase angles are very View Question For a periodic signal the$$v\left(t\right)=30\sin100t\;+\;10\cos300t\;+\;6\sin\left(500t\;+\;\frac{\mathrm\pi}4\right)
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Assuming zero initial condition, the response y(t) of the system given below to a unit step input u(t) is
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Two systems with impulse responses h1(t) and h2(t) are connected in cascade. Then the overall impulse response of the ca
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The impulse response of a system is h(t) = tu(t). For an input u(t − 1), the output is
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The impulse response of a continuous time system is given by h(t) = $$\delta$$(t − 1) + $$\delta$$(t − 3). The value of
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A band-limited signal with a maximum frequency of 5 kHz is to be sampled. According to the sampling theorem, the samplin
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Which one of the following statements is NOT TRUE for a continuous time causal and stable LTI system?
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