GATE EE 2016 Set 1
View Questions

## GATE EE

A transistor circuit is given below. The Zener diode breakdown voltage is $$5.3$$ $$V$$ as shown. Take base to emitter v
View Question
Given the following polynomial equation $${s^3} + 5.5{s^2} + 8.5s + 3 = 0$$ the number of roots of the polynomial which
View Question
The transfer function of a system is $${{Y\left( s \right)} \over {R\left( s \right)}} = {s \over {s + 2}}.$$ The steady
View Question
The phase cross-over frequency of the transfer function $$G\left( s \right) = {{100} \over {{{\left( {s + 1} \right)}^3} View Question Consider the following asymptotic Bode magnitude plot ($${\omega \,\,}$$is in$$rad/s$$) Which one of the following View Question Loop transfer function of a feedback system is$$G\left( s \right)H\left( s \right) = {{s + 3} \over {{s^2}\left( {s - 3
View Question
Consider the following state - space representation of a linear time-invariant system. $$\mathop x\limits^ \bullet \lef View Question Consider the following circuit which uses a$$2$$-to-$$1$$multiplexer as shown in the figure below. The Boolean express View Question The current state$${Q_A}{Q_B}$$of a two$$JK$$flip-flop system is$$00.$$Assume that the clock rise-time is much sma View Question A$$2$$-bit flash Analog to Digital Converter$$(ADC)$$is given below. The input is$$0 \le {V_N} \le 3$$Volts. The ex View Question In the portion of a circuit shown, if the heat generated in 5 Ω resistance is 10 calories per second then heat generated View Question RA and RB are the input resistances of circuits as shown below. The circuits extend infinitely in the direction shown. W View Question In the circuit shown below, the node voltage VA is _________ V. View Question In the circuit shown, switch S2 has been closed for a long time. A time t = 0 switch S1 is closed. At t=0+ , the rate of View Question In the given circuit, the current supplied by the battery, in ampere, is ________. View Question In the circuit shown below, the supply voltage is 10sin(1000t) volts. The peak value of the steady state current through View Question The circuit below is excited by a sinusoidal source. The value of R, in Ω, for which the admittance of the circuit becom View Question A dc voltage with ripple is given by$$v\left( t \right)\,\,\,\, = \,\,\,\,\left[ {100 + 10\sin \left( {\omega t} \right
View Question
A 4-pole, lap-connected, separately excited dc motor is drawing a steady current of 40 A while running at 600 rpm. A goo
View Question
A DC shunt generator delivers 45 A at a terminal voltage of 220 V. The armature and the shunt field resistance are 0.01
View Question
If an ideal transformer has an inductive load element at port 2 as shown in the figure below, the equivalent inductance
View Question
A single-phase 400 V, 50 Hz transformer has an iron loss of 5000 W at the condition. When operated at 200 V, 25 Hz, the
View Question
If the star side of the star-delta transformer shown in the figure is excited by a negative sequence voltage, then
View Question
A single-phase, 22 kVA, 2200 V/220 V, 50 Hz, distribution transformer is to be connected as an autotransformer to get an
View Question
In a constant V/f induction motor drive, the slip at the maximum torque
View Question
A three-phase, $$50$$ $$Hz$$ salient-pole synchronous motor has a per-phase direct-axis reactance $$\left( {{X_d}} \righ View Question Two electric charges q and -2q are placed at (0,0) and (6,0) on the x-y plane. The equation of the zero equipotential cu View Question In cylindrical coordinate system, the potential produced by a uniform ring charge is given$$\phi=f\left(r,\;z\right)$$, View Question Let$$A$$be a$$4 \times 3$$real matrix which rank$$2.$$Which one of the following statement is TRUE? View Question Let the eigenvalues of a$$2 \times 2$$matrix$$A$$be$$1,-2$$with eigenvectors$${x_1}$$and$${x_2}$$respectively. View Question Consider$$3 \times 3$$matrix with every element being equal to$$1.$$Its only non-zero eigenvalue is __________. View Question Let$$\,\,S = \sum\limits_{n = 0}^\infty {n{\alpha ^n}} \,\,$$where$$\,\,\left| \alpha \right| &lt; 1.\,\,$$The val View Question The maximum value attained by the function$$f(x)=x(x-1) (x-2)$$in the interval$$\left[ {1,2} \right]$$is _________. View Question Candidates were asked to come to an interview with$$3$$pens each. Black, blue, green and red were the permitted pen co View Question A function$$y(t),$$such that$$y(0)=1$$and$$\,y\left( 1 \right) = 3{e^{ - 1}},\,\,$$is a solution of the differenti View Question The value of the integral$$\oint\limits_c {{{2z + 5} \over {\left( {z - {1 \over 2}} \right)\left( {{z^2} - 4z + 5} \ri
View Question
A steady dc current of 100 A is flowing through a power module (S, D) as shown in Figure (a). The V-I characteristics of
View Question
A buck converter, as shown in Figure $$(a)$$ below, is working in steady state. The output voltage and the inductor curr
View Question
The switches $$T1$$ and $$T2$$ in Figure are switched in a complementary fashion with sinusoidal pulse width modulation
View Question
A single-phase transmission line has two conductors each of 10 mm radius. These are fixed at a center-to-center distance
View Question
A three-phase cable is supplying $$800$$ kW and $$600$$ kVAr to an inductive load. It is intended to supply an additiona
View Question
A 30 MVA, 3-phase, 50Hz, 13.8 kV, star-connected synchronous generator has positive, negative and zero sequence reactanc
View Question
The magnitude of three-phase fault currents at buses A and B of a power system are 10 pu and 8 pu, respectively. Neglect
View Question
In a 100 bus power system, there are 10 generators. In a particular iteration of Newton Raphson load flow technique (in
View Question
The value of $$\int_{-\infty}^{+\infty}e^{-t}\partial\left(2t-2\right)dt$$. where $$\partial\left(t\right)$$ is the Dira
View Question
Consider a continuous-time system with input x(t) and output y(t) given by y\left(t\right)=x\left(t\right)\cos\left(t\
View Question
Suppose x1(t) and x2(t) have the Fourier transforms as shown below. Which one of the following statements is TRUE?
View Question
The output of a continuous-time, linear time-invariant system is denoted by T{x(t)} where x(t) is the input signal. A si
View Question
EXAM MAP
Medical
NEET