GATE EE 2017 Set 1
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## GATE EE

For the circuit shown in the figure below, assume that diodes $${D_1},\,{D_2}$$ and $${D_3}$$ are ideal. The $$DC$$ co
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The circuit shown in the figure uses matched transistors with a thermal voltage $${V_T} = 25\,mV.$$ The base currents of
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The approximate transfer characteristic for the circuit shown below with an ideal operational amplifier and diode will b
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For a system having transfer function $$G\left( s \right) = {{ - s + 1} \over {s + 1}},$$ a unit step input is applied a
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Let a causal $$LTI$$ system be characterized by the following differential equation, with initial rest condition $${{{d^ View Question In the system whose signal flow graph is shown in the figure,$${{U_1}\left( s \right)}$$and$${{U_2}\left( s \right)}$View Question A closed loop system has the characteristic equation given by $${s^3} + K{s^2} + \left( {K + 2} \right)s + 3 = 0.$$ For View Question The transfer function of a system is given by $${{{V_0}\left( s \right)} \over {{V_i}\left( s \right)}} = {{1 - s} \over View Question Consider the unity feedback control system shown. The value of$$K$$that results in a phase margin of the system to be View Question The transfer function of the system$$Y\left( s \right)/U\left( s \right)$$, whose state-space equations are given belo View Question The Boolean expression$$AB + A\overline C + BC$$simplifies to View Question The logical gate implemented using the circuit shown below where$${V_1}$$and$${V_2}$$are inputs (with$$0V$$as View Question The output expression for the Karnaugh map shown below is View Question The power supplied by the 25 V source in the figure shown below is ________W. View Question The equivalent resistance between the terminals A and B is ______ Ω. View Question In the circuit shown below, the maximum power transferred to the resistor R is _______ W. View Question Two passive two-port networks are connected in cascade as shown in figure. A voltage source is connected at port 1.$$\ View Question The following measurements are obtained on a single phase load: $$V = 220 V$$ $$\pm$$$$1$$%. $${\rm I}$$$$= 5.0$$ $$A View Question The load shown in the figure is supplied by a$$400V$$(line-to-line)$$3$$-phase source ($$RYB$$sequence). The lo View Question The slope and level detector circuit in a CRO has a delay of 100 ns. The start-stop sweep generator has a response time View Question A separately excited DC generator supplies 150 A to a 145 V DC grid. The generator is running at 800 RPM. The armature r View Question A 220 V DC series motor runs drawing a current of 30 A from the supply. Armature and field circuit resistances are 0.4 Ω View Question A three-phase, three winding$$\triangle$$/$$\triangle$$/ Y (1.1 kV/6.6 kV/400 V) transformer is energized from AC ma View Question A 4 pole induction machine is working as an induction generator. The generator supply frequency is 60 Hz. The rotor curr View Question A 375W, 230 V, 50 Hz capacitor start single-phase induction motor has the following constants for the main and auxiliary View Question A three-phase, 50Hz, star-connected cylindrical-rotor synchronous machine is running as a motor. The machine is operated View Question Two parallel connected, three-phase,$$50Hz,11kV,$$star-connected synchronous machines$$A$$and$$B,$$are operat View Question Consider an electron, a neutron and a proton initially at rest and placed along a straight line such that the neutron is View Question A solid iron cylinder is placed in a region containing a uniform magnetic field such that the cylinder axis is parallel View Question The magnitude of magnetic flux density (B) in micro Teslas ( µT ) at the center of a loop of wire wound as a regular hex View Question The matrix$$A = \left[ {\matrix{ {{3 \over 2}} &amp; 0 &amp; {{1 \over 2}} \cr 0 &amp; { - 1} &amp; 0 \cr View Question A function $$f(x)$$ is defined as $$f\left( x \right) = \left\{ {\matrix{ {{e^x},x &lt; 1} \cr {\ln x + a{x^2} View Question Let$${\rm I} = c\int {\int {_Rx{y^2}dxdy,\,\,} } $$where$$R$$is the region shown in the figure and$$c = 6 \times {1 View Question Consider the differential equation $$\left( {{t^2} - 81} \right){{dy} \over {dt}} + 5ty = \sin \left( t \right)\,\,$$ w View Question Consider the line integral $${\rm I} = \int\limits_c {\left( {{x^2} + i{y^2}} \right)dz,}$$ where $$z=x+iy.$$ The line View Question For a complex number $$z,$$ $$\mathop {Lim}\limits_{z \to i} {{{z^2} + 1} \over {{z^3} + 2z - i\left( {{z^2} + 2} \righ View Question For the power semiconductor devices$$IGBT, MOSFET,$$Diode and Thyristor, which one of the following statements is TRUE View Question The figure below shows an uncontrolled diode bridge rectifier supplied form a$$220$$Z$$V,50Hz,1$$-phase View Question The input voltage$${V_{DC}}$$of the buck-boost converter shown below varies from$$32V$$to$$72V.$$Assume View Question In the converter circuit shown below, the switches are controlled such that the load voltage$${v_0}\left( t \right)$$i View Question A$$3$$-phase voltage source inverter is supplied from a$$600VDC$$source as shown in the figure below. For a star View Question A source is supplying a load through a 2-phase, 3-wire transmission system as shown in figure below. The instantaneous v View Question A load is supplied by a$$230V,50Hz$$source. The active power$$P$$and the reactive power$$Q$$consume View Question The figure shows the single line diagram of a power system with a double circuit transmission line. The expression for e View Question The positive, negative and zero sequence reactances of a wye-connected synchronous generator are 0.2 pu, 0.2 pu, and 0.1 View Question A$$3$$-bus power system is shown in the figure below, where the diagonal elements of$$Y$$-bus matrix are:$${Y_{11}} = View Question A 10-bus power system consists of four generator buses indexed as G1, G2, G3, G4 and six load buses indexed as L1, L2, L View Question The bus admittance matrix for a power system network is $$\left[ {\matrix{ { - j39.9} &amp; {j20} &amp; {j20} \cr View Question Consider the system with following input-output relation$$y\left[n\right]=\left(1+\left(-1\right)^n\right)x\left[n\righ View Question Let $$z\left(t\right)=x\left(t\right)\ast y\left(t\right)$$, where "*" denotes convolution. Let C be a positive real-val View Question Consider $$g\left(t\right)=\left\{\begin{array}{l}t-\left\lfloor t\right\rfloor,\\t-\left\lceil t\right\rceil,\end{arra View Question Let the signal$$$x\left(t\right)=\sum_{k=-\infty}^{+\infty}\left(-1\right)^k\delta\left(t-\frac k{2000}\right)\$ be pa
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