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## GATE EE 2015 Set 2

Exam Held on Thu Jan 01 1970 00:00:00 GMT+0000 (Coordinated Universal Time)
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## GATE EE

In the following circuit, the input voltage $${V_{in}}$$ is $$100\sin \left( {10... When a bipolar junction transistor is operating in the saturation mode, which on... In the following circuit, the transistor is in active mode and$${V_C} = 2V.$$T... The operational amplifier shown in the figure is ideal. The input voltage (in Vo... The filters$${F_1}$$and$${F_2}$$having characteristics as shown in figures ... The saturation voltage of the ideal op-amp shown below is$$ \pm 10\,V.$$The ou... An open loop control system results in a response of$${e^{ - 2t}}\left( {\sin 5...
The unit step response of a system with the transfer function $$G\left( s \right... The following discrete-time equations result from the numerical integration of t... An open loop transfer function$$G(s)$$of system is$$G\left( s \right) = {k \o...
Nyquist plots of two functions $${G_1}\left( s \right)$$ and $${G_2}\left( s \ri... For the system governed by the set of equations:$$\eqalign{ &amp; d{x_1}/dt... Consider the following Sum of products expression, $$F.$$ <br>$$F = ABC + \over... A Boolean function$$f\left( {A,B,C,D} \right) = \Pi \left( {1,5,12,15} \right)...
In the following sequential circuit, the initial state (before the first clock p...
The current i (in Ampere) in the 2 Ω resistor of the given network is _________....
A series RL circuit is excited at t = 0 by closing a switch as shown in the figu...
Find the transformer ratios a and b that the impedance (Z<sub>in</sub>) is resis...
In the given network $$V_1=100\angle0^\circ V$$, $$V_2=100\angle-120^\circ V$$, ...
Two identical coils each having inductance L are placed together on the same cor...
A symmetrical square wave of 50% duty cycle has amplitude of ±15V and time perio...
A capacitive voltage divider is used to measure the bus voltage V<sub>bus</sub> ...
Match the following. <img class="question-image" src="https://imagex.cdn.examgoa...
A 3-phase balanced load which has a power factor of 0.707 is connected to a bala...
The coils of a wattmeter have resistances $$0.01$$ $$\Omega$$ and $$1000$$ $$\O... A 4-pole, separately excited, wave wound DC machine with negligible armature res... A shunt-connected DC motor operates at its rated terminal voltage. Its no-load s... With an armature voltage of 100 V and rated field winding voltage, the speed of ... Two three-phase transformers are realized using single-phase transformers as sho... A balanced (positive sequence) three-phase AC voltage source is connected to a b... A three-winding transformer is connected to an AC voltage source as shown in the... The figure shows the per-phase equivalent circuit of a two-pole three-phase indu... A 220 V, 3-phase, 4-pole, 50 Hz inductor motor of wound rotor type is supplied a... A three-phase,$$11kV,50Hz,2pole, star connected, cylindr... Match the following. <img alt="gate 2015 Set 2 electromagnetic-fields electrosta... Two semi-infinite conducting sheets are placed at right angles to each other as ... Two semi-infinite dielectric regions are separated by a plane boundary at y = 0.... A circular turn of radius 1 m revolves at 60 rpm about its diameter aligned with... We have a set of3$$linear equations in$$3$$unknown.$$'X \equiv Y'$$means... The volume enclosed by the surface$$f\left( {x,y} \right) = {e^x}$$over the tr... Match the following. <p><b>List-$${\rm I}$$</b> <br>$$P.$$Stoke's Theorem <br>... Two coins$$R$$and$$S$$are tossed. The$$4$$joint events$$\,\,\,\,\,\,{H_R}...
A differential equation $$\,\,{{di} \over {dt}} - 0.21 = 0\,\,$$ is applicable o...
Given $$f\left( z \right) = g\left( z \right) + h\left( z \right),$$ where $$f,g... The Laplace transform of$$f\left( t \right) = 2\sqrt {t/\pi } \,\,\,\,\,$$... In the given rectifier, the delay angle of the thyristor$${T_1}$$measured from... For the switching converter shown in the following figure, assume steady-state o... A composite conductor consists of three conductors of radius$$R$$each. The con... The synchronous generator shown in the figure is supplying active power to an in... The incremental costs (in rupees/$$MWh$$) of operating two generating units are ... A$$3$$-phase transformer rated for$$33 kV/11kV$$is connected in delta/star as... A$$3$$-bus power system network consists of$$3$$transmission lines. The bus a... For linear time invariant systems, that are Bounded Input Bounded stable, which ... Consider a signal defined by$$\$x\left(t\right)=\left\{\begin{array}{l}e^{j10t}\...
The Laplace transform of f(t)=$$2\sqrt{t/\mathrm\pi}$$ is $$s^{-3/2}$$. The Lap...
The z-Transform of a sequence x[n] is given as X(z) = 2z+4−4/z+3/z<sup>2</sup>. ...

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