Recent questions tagged gate2014-ee-1

In the figure shown, assume the op-amp to be ideal. Which of the alternatives gives the correct Bode plots for the transfer function $\dfrac{V_o(\omega )}{V_i(\omega )}?$

The Bode magnitude plot of the transfer function $G(s)=\dfrac{K(1+0.5s)(1+as)}{s(1+\frac{s}{8})(1+bs)(1+\frac{s}{36})}$ is shown below:Note that $-6dB/octave = -20 dB/dec...

For the given system, it is desired that the system be stable. The minimum value of $\alpha$ for this condition is ____________..

Which of the following logic circuits is a realization of the function $F$ whose Karnaugh map is shown in figure:

The figure shows the circuit diagram of a rectifier. The load consists of a resistance $10Ω$ and an inductance $0.05H$ connected in series. Assuming ideal thyristor and i...

Figure $(i)$ shows the circuit diagram of a chopper. The switch $S$ in the circuit in figure $(i)$ is switched such that the voltage $v_D$ across the diode has the wave s...

A system matrix is given as follows.$A=\begin{bmatrix} 0 & 1 & -1\\ -6 & -11 &6 \\ -6& -11& 5 \end{bmatrix}$The absolute value of the ratio of the maximum eigenvalue to t...

The figure shows one period of the output voltage of an inverter.$\alpha$ should be chosen such that $60^{\circ}<\alpha <90^{\circ}$. If $rms$ value of the fundamental c...

The $dc$ current flowing in a circuit is measured by two ammeters, one $PMMC$ and another electrodynamometer type, connected in series. The $PMMC$ meter contains $100$ tu...

The reading of the voltmeter $(rms)$ in volts, for the circuit shown in the figure is __________

Given that the op-amps in the figure are ideal, the output voltage $V_0$ is$(V_1-V_2)$$2(V_1-V_2)$$(V_1-V_2)/2$$(V_1+V_2)$

An output device is interfaced with $8$-bit microprocessor $8085A$. The interfacing circuit is shown in figureThe interfacing circuit makes use of $3$ Line to $8$ Line de...

The fuel cost functions of two power plants are Plant $P_1 : C_1=0.05Pg_1^2+APg_1+B$ Plant $P_2 : C_2=0.10Pg...

A three phase synchronous generator is to be connected to the infinite bus. The lamps are connected as shown in the figure for the synchronization. The phase sequence of ...

A $15\: kW, 230\: V\:dc$ shunt motor has armature circuit resistance of $0.4\: Ω$ and field circuit resistance of $230\: Ω.$ At no load and rated voltage, the motor runs ...

The function shown in the figure can be represented as$u(t)-u(t-T)+\dfrac{(t-T)}{T}u(t-T)-\frac{(t-2T)}{T}u(t-2T) \\$$u(t)+\dfrac{t}{T}u(t-T)-\dfrac{t}{T}u(t-2T) \\$$u(t)...

The overcurrent relays for the line protection and loads connected at the buses are shown in the figure.The relays are $IDMT$ in nature having the characteristic$t_{op}=\...

The following four vector fields are given in Cartesian co-ordinate system. The vector field which does not satisfy the property of magnetic flux density is$y^2a_x+z^2a_y...

Let $X(z)=\dfrac{1}{1-z^{-3}}$ be the $Z$ – transform of a causal signal $x[n]$ Then, the values of $x $ and $x[3]$ are$0$ and $0$$0$ and $1$$1$ and $0$$1$ and $1$

The core loss of a single phase, $230/115\:V, 50\:Hz$ power transformer is measured from $230\:V$ side by feeding the primary $(230\: V \: \text{side})$ from a variable v...

A $3$ phase, $50$ $Hz$, six pole induction motor has a rotor resistance of $0.1\: Ω$ and reactance of $0.92\: Ω$. Neglect the voltage drop in stator and assume that the r...

A distribution feeder of $1\:km$ length having resistance, but negligible reactance, is fed from both the ends by $400V$, $50\:Hz$ balanced sources. Both voltage sources ...

A two bus power system shown in the figure supplies load of $1.0+j0.5\: \text{p.u}.$The values of $V_1$ in $\text{p.u.}$ and $\delta_2$ respectively are$0.95$ and $6.00^{...

Let $f(t)$ be continuous time signal and let $F(w)$be its Fourier Transform defined by $F(\omega )=\displaystyle{}\int_{-\infty }^{\infty }f(t...

A cascade of three identical modulo - $5$ counters has an overall modulus of$5$$25$$125$$625$

A fair coin is tossed $n$ times. The probability that the difference between the number of heads and tails is $(n-3)$ is$2^{-n}$$0$$^{n}C_{n-3}2^{-n}$$2^{-n+3}$

In an oscilloscope screen, linear sweep is applied at thevertical axishorizontal axisoriginboth horizontal and vertical axis

The line integral of function $F = yzi$, in the counterclockwise direction, along the circle $x^2+y^2 = 1$ at $z = 1$ is$-2\pi$$-\pi$$\pi$$2\pi$

Let $g:[0,\infty )\rightarrow [0,\infty )$ be a function defined by $g(x)=x-[x]$, where $[x]$ represents the integer part of $x.($That is, it is the largest integer whic...

In the Wien Bridge oscillator circuit shown in figure, the bridge is balanced when$\dfrac{R_3}{R_4}=\dfrac{R_1}{R_2}\, \: \: \omega =\dfrac{1}{\sqrt{R_1C_1R_2C_2}} \\$ $\...