Questions by gatecse

In the given relaxation oscillator, the opamps and the zener diodes are ideal. The frequency (in $kHz$) of the square wave output $v_{\circ}$ is $\_\_\_\_\_\_$.

Unit step response of a linear time invariant $(LTI)$ system is given by $y(t) = (1 – e^{-2t})u(t)$. Assuming zero initial condition, the transfer function of the system ...

Consider a standard negative feedback configuration with G(s) = $\frac{1}{(s+1)(s+2)}$ and H(s) = $\frac{s+a}{s}$, For the closed loop system to have poles on the imagina...

Consider the linear system x = $\begin{bmatrix}-1 & 0 \\0 & -2\end{bmatrix} x,$ with initial condition $x(0) = \begin{bmatrix}1 \\1\end{bmatrix}$. The solution $x(t)$ for...

Consider the standard negative feedback configuration with G(s) = $\frac{s^2+0.2s+100}{s^2 – 0.2s +100}$ and H(s) = $\frac{1}{2}$. The number of clockwise encirclements o...

For the sequence $x[n] = \{1, -1,1, -1\},$ with $n = 0,1,2,3,$ the DFT is computed as $X(k) = \displaystyle{}\Sigma^3_{n=0}x[n]e^{-j\frac {2\pi}{4}nk}$, for $k = 0,1,2,3....

Let y[n] = x[n] * h[n], where * denotes convolution and x[n] and h[n] are two discrete time sequences, Given that the z-transform of y[n] is y(z) = 2+ 3z$^{-1}$ + z$^{-2}...

The Fourier transform of a signal x(t), denoted by X(j$\omega$), is shown in the figure Let y(t) = x(t) + e$^{jt}...

In the given circuit, the mesh currents $I{_1}$,$I{_2}$ and $I{_3}$ are $I{_1}$ = 1 A, $I{_2}$ =2 A and $I{_3}$ ...

In the figure, an RLC load supplied by a 230 V, 50 Hz single phase source. The magnitude of the reactive power (in VAr) supplied by the source is $\_\_\_\_\_$.

In the given circuit, superposition is applied.When V$_2$ is set to 0 V, the current I$_2$ is -6 A. When V$_1$ is set to 0 v, the current I$_1$ is + 6A. Current I$_3$ (in...

Consider the following equations $\frac {\partial {V(x,y)}}{\partial x}$ = px$^2$ + y$^2$ + 2xy ...

Consider the following system of linear equations: 3x + 2ky = -2 kx + 6y =2Here x and y are the unknows and k is real c...

Two bags A and B have equal number of balls. Bag A has 20% red balls and 80% green balls. Bag B has 30% red balls,60% green balls and 10% yellow balls. Contents of Bags A...

Given $\overrightarrow{F}$ = (x$^2$ – 2y) $\overrightarrow{i}$ – 4xz$\overrightarrow{j}$ + 4xz$^2$$\overrightarrow{k}$, the value of the linear integral $\int_c$$\overrig...

An optical pulse containing 6 x 10$^6$ photons is incident on a photodiode and 4.5 x 10$^6$ electron-hole pairs are created. The maximum possible quantum efficiency (in %...

An amplitude modulated signal is shown in the figure. The modulation index is(up to one decimal place) $\_\_\_\_\_$

A piezoelectric pressure sensor has a bandpass characteristic with cut-off frequencies of 0.1 Hz and 1 MHz, and a sensitivity of 100 mV/kPa. The sensor is subjected to a ...

As shown in the figure, temperature $\theta$ is measured using a $K$ type thermocouple. It has a sensitivity of 40 $\mu V/^{\circ}C$. The gain $(G)$ of the ideal instrume...

A 300 V, 5A, 0.2 pf low power factor wattmeter is used to measure the power consumed by a load. The wattmeter scale has 150 divisions and the pointer is on the 100$^{th}$...

A voltage of 6 cos(100$\pi$t) V is fed as y-input to a CRO. The waveform seen on the screen of the CRO is shown in the figure. The Y and X axes settings for the CRO are r...

The number of comparators required for implementing an 8-bit flash analog-to-digital converter is8128255256

The representation of the decimal number (27.625)$_{10}$ in base -2 number system is11011.11011101.10111011.10110111.110

For the 3-bit binary counter shown in the figure, the output increments at every positive transition in the clock(CLK). Assume ideal diodes and the starting state of the ...

The diodes given in the circuit are ideal. At t = 60ms, V$_{pq}$(in Volts) is $\_\_\_\_\_\_\_$

In the given circuit, assume that the opamp is ideal and the transistor has a $\beta$ of 20. The current I${_0}$( in $\mu A$) flowing through the load Z${_L}$ is $\_\_\_...

The approximate phase response of $\frac{100^2e^-0.01s}{s^2+0.2s+100^2}$ is

An input p(t) = sin(t) is applied to the system G(s) = $\frac{s-1}{s+1}$. The corresponding steady state output is y(t) = sin(t + $\varphi$), where the phase $\varphi$ (i...

An ideal square wave with period of 20ms shown in the figure, is passed through an ideal low pass filter with cut-off frequency 120 Hz. Which of the following is an accur...

Consider signal x(t) = . Let $\delta$(t) denote the unit impulse (Dirac-delta) function. The value of the integral $ \int^5_0$ 2x(t- 3)$\delta$(t-4)dt is 2103

Two periodic signals x(t) and y(t) have the same fundamental period of 3 seconds. Consider the signal z(t) = x(-t) + y(2t + 1). The fundamental period of z(t) in seconds ...

A coil having an impedance of (10 + j100) $\Omega$ is connected in parallel to a variable capacitor as shown in figure. Keeping the excitation frequency unchanged, the va...

The Thevenin equivalent circuit representation across terminals p – q of the circuit shown in the figure is a 1 V source in series...

A series R-C circuit is excited by a 1 <0 V sinusoidal ac voltage source. The locus diagram of the phasor current L = (x + jy)A, when C is varied, while keeping R fixed, ...

Consider a sequence of tossing of a fair coin where the outcomes of tosses are independent. The probability of getting the head for the third time in the fifth toss is$\f...

Consider two functions f(x) = (x – 2)$^2$ and g(x) = 2x – 1, where x is real. The smallest value of x for which f(x) = g(x) is $\_\_\_\_\_\_$

X and Y are two independent random variables with variances 1 and 2, respectively. Let Z = X – Y. The variance of Z is0123

Let f$_1$(Z) =Z$^2$ and f$_2$(Z) = $\overline{z}$ be two complex variable functions. Here $\overline{z}$ is the complex conjugate of z. Choose the correct answerBoth f$_1...

Let N be a 3 by 3 matrix with real numbers entries. The matrix N is such that N$^2$ = 0. The eigen values of N are 0, 0, 00,0,10,1,11,1,1