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## GATE EE 2016 Set 1

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

A transistor circuit is given below. The Zener diode breakdown voltage is $$5.3... Given the following polynomial equation$${s^3} + 5.5{s^2} + 8.5s + 3 = 0$$the ... The transfer function of a system is$${{Y\left( s \right)} \over {R\left( s \ri...
The phase cross-over frequency of the transfer function $$G\left( s \right) = {{... Consider the following asymptotic Bode magnitude plot ($${\omega \,\,}$$is in ... Loop transfer function of a feedback system is$$G\left( s \right)H\left( s \rig...
Consider the following state - space representation of a linear time-invariant s...
Consider the following circuit which uses a $$2$$-to-$$1$$ multiplexer as shown ...
The current state $${Q_A}{Q_B}$$ of a two $$JK$$ flip-flop system is $$00.$$ Ass...
A $$2$$-bit flash Analog to Digital Converter $$(ADC)$$ is given below. The inpu...
In the portion of a circuit shown, if the heat generated in 5 Ω resistance is 10...
R<sub>A</sub> and R<sub>B</sub> are the input resistances of circuits as shown b...
In the circuit shown below, the node voltage V<sub>A</sub> is _________ V. <img ...
In the given circuit, the current supplied by the battery, in ampere, is _______...
In the circuit shown, switch S<sub>2</sub> has been closed for a long time. A ti...
The circuit below is excited by a sinusoidal source. The value of R, in Ω, for w...
In the circuit shown below, the supply voltage is 10sin(1000t) volts. The peak v...
A dc voltage with ripple is given by $$v\left( t \right)\,\,\,\, = \,\,\,\,\left... A 4-pole, lap-connected, separately excited dc motor is drawing a steady current... A DC shunt generator delivers 45 A at a terminal voltage of 220 V. The armature ... If an ideal transformer has an inductive load element at port 2 as shown in the ... A single-phase, 22 kVA, 2200 V/220 V, 50 Hz, distribution transformer is to be c... If the star side of the star-delta transformer shown in the figure is excited by... A single-phase 400 V, 50 Hz transformer has an iron loss of 5000 W at the condit... In a constant V/f induction motor drive, the slip at the maximum torque A three-phase,$$50Hz$$salient-pole synchronous motor has a per-phase dire... Two electric charges q and -2q are placed at (0,0) and (6,0) on the x-y plane. T... In cylindrical coordinate system, the potential produced by a uniform ring charg... Consider$$3 \times 3$$matrix with every element being equal to$$1.$$Its only... Let$$A$$be a$$4 \times 3$$real matrix which rank$$2.$$Which one of the foll... Let the eigenvalues of a$$2 \times 2$$matrix$$A$$be$$1,-2$$with eigenvecto... The maximum value attained by the function$$f(x)=x(x-1) (x-2)$$in the interval... Let$$\,\,S = \sum\limits_{n = 0}^\infty {n{\alpha ^n}} \,\,$$where$$\,\,\lef...
Candidates were asked to come to an interview with $$3$$ pens each. Black, blue,...
A function $$y(t),$$ such that $$y(0)=1$$ and $$\,y\left( 1 \right) = 3{e^{ - 1}... The value of the integral$$\oint\limits_c {{{2z + 5} \over {\left( {z - {1 \ove...
A steady dc current of 100 A is flowing through a power module (S, D) as shown i...
A buck converter, as shown in Figure $$(a)$$ below, is working in steady state. ...
The switches $$T1$$ and $$T2$$ in Figure are switched in a complementary fashion...
A single-phase transmission line has two conductors each of 10 mm radius. These ...
A three-phase cable is supplying $$800$$ kW and $$600$$ kVAr to an inductive loa...
A 30 MVA, 3-phase, 50Hz, 13.8 kV, star-connected synchronous generator has posit...
The magnitude of three-phase fault currents at buses A and B of a power system a...
In a 100 bus power system, there are 10 generators. In a particular iteration of...
The value of $$\int_{-\infty}^{+\infty}e^{-t}\partial\left(2t-2\right)dt$$. wher...
Consider a continuous-time system with input x(t) and output y(t) given by y\l...
Suppose x<sub>1</sub>(t) and x<sub>2</sub>(t) have the Fourier transforms as sho...
The output of a continuous-time, linear time-invariant system is denoted by T{x(...

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