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## GATE EE 2015 Set 1

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

In the given circuit, the silicon transistor has $$\beta$$ $$=75$$ and a collec...
Consider the circuit shown in the figure. In this circuit $$R = 1\,\,k\Omega ,$$...
Of the four characteristics given below, which are the major requirements for an...
The op-amp shown in the figure has a finite gain $$A = 1000$$ and an infinite in...
For the signal-flow graph shown in the figure, which one of the following expres...
Find the transfer function $${{Y\left( s \right)} \over {X\left( s \right)}}$$ o...
A Bode magnitude plot for the transfer function $$𝐺(𝑠)$$ of a plant is shown i...
The transfer function of a second order real system with a perfectly flat magnit...
In the signal flow diagram given in the figure, $${u_1}$$ and $${u_2}$$ are poss...
$$f\left( {A,\,B,\,C,\,D} \right) = \Pi M\left( {0,1,3,4,5,7,9,11,12,13,14,15} \... In the$$4 \times 1$$multiplexer, the output$$F$$is given by$$F = A \oplus B...
The figure shows a digital circuit constructed using negative edge triggered $$J... An$$8$$-bit, unipolar Successive Approximation Register type$$ADC$$is used to... The voltages developed across the 3Ω and 2Ω resistors shown in the figure are 6V... In the given circuit, the parameter k is positive, and the power dissipated in t... For the given circuit the Thevenin equivalent is to be determined. The Thevenin ... An inductor is connected in parallel with a capacitor as shown in the figure. <i... The circuit shown in the figure has two sources connected in series. The instant... In a linear two-port network, when 10 V is applied to Port 1, a current of 4 A f... A ($$0-50A$$) moving coil ammeter has a voltage drop of$$0.1V$$acros... When the Wheatstone bridge shown in the figure is used to find the value of resi... An unbalanced$$DC$$Wheatstone bridge is shown in the figure. At what value of ... A separately excited DC generator has an armature resistance of 0.1$$\Omega$$a... A separately excited DC motor runs at 1000 rpm on no load when its armature term... A DC motor has the following specifications: 10 Hp, 37.5 A, 230 V; flux/pole = 0... The self inductance of the primary winding of a single phase, 50 Hz, transformer... Two single-phase transformers T<sub>1</sub> and T<sub>2</sub> each rated at 500 ... A 200/400 V, 50 Hz, two-winding transformer is rated at 20 kVA. Its windings are... A 3-phase 50 Hz square wave (6-step) VSI feeds a 3-phase, 4 pole induction motor... Consider a function$$\overrightarrow f=\frac1{r^2}\widehat r$$where r is the d... A parallel plate capacitor is partially filled with glass of dielectric constant... A steady current I is flowing in the −x direction through each of two infinitely... Consider a one-turn rectangular loop of wire placed in a uniform magnetic field ... If the sum of the diagonal elements of a$$2 \times 2$$matrix is$$-6$$, then t... The maximum value of$$'a'$$such that the matrix$$\left[ {\matrix{ { - 3} &...
Two players, $$A$$ and $$B,$$ alternately keep rolling a fair dice. The person t...
A random variable $$X$$ has probability density function $$f(x)$$ as given below...
Given Set $$\,\,\,A = \left\{ {2,3,4,5} \right\}\,\,\,$$ and Set $$\,\,\,B = \le... The probabilities that a student passes in Mathematics, Physics and Chemistry ar... A solution of the ordinary differential equation$$\,\,{{{d^2}y} \over {d{t^2}}}...
If a continuous function $$f(x)$$ does not have a root in the interval $$\left[ ... In the following chopper, the duty ratio of switch$$S$$is$$0.4.$$If the indu... A buck converter feeding a variable resistive load is shown in the figure. The s... A self commutating switch$$SW,$$operated at duty cycle$$\delta $$is used to ... The circuit shown is meant to supply a resistive load$${R_L}$$from two separat... The single-phase full-bridge voltage source inverter$$(VSI),$$shown in figure,... A 50 Hz generating unit has H-constant of 2 MJ/MVA. The machine is initially ope... A sustained three phase fault occurs in the power system shown in the figure. Th... Consider the economic dispatch problem for a power plant having two generating u... Base load power plants are <br>$$P.$$wind farms <br>$$Q.$$run-of-river plants... Determine the correctness or otherwise of the following Assertion (a) and the Re... Consider a$$HVDC$$link which uses thyristor based line commutated converters a... A moving average function is given by$$y\left(t\right)=\frac1T\int_{t-T}^tu\lef...
The impulse response g(t) of a system G, is as shown in Figure (a). What is the ...
The signum function is given by \$\mathrm{sgn}\left(\mathrm x\right)=\left\{\be...
Consider a discrete time signal given by <br>x[n]=(-0.25)<sup>n</sup>u[n]+(0.5)<...

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