Questions by Milicevic3306

A loop transfer function is given by:$$G(s)H(s)=\frac{K(s+2)}{s^2(s+10)}$$The point of intersection of the asymptotes of $G(s)H(s)$ on the real axis in the s-plane is at ...

The resistance and inductance of an inductive coil are measured using an AC bridge as shown in the figure. The bridge is to be balanced by varying the impedance $Z_2$.For...

A plant has an open-loop transfer function,$$G_p(s)=\frac{20}{(s+0.1)(s+2)(s+100)}$$The approximate model obtained by retaining only one of the above poles, which is clos...

In order to remove respiration related motion artifacts from an $ECG$ signal, the following filter should be used:low-pass filter with $f_c=0.5\;Hz$high-pass filter with ...

In a time-of-flight mass spectrometer if $q$ is the charge and $m$ the mass of the ionized species, then the time of flight is proportional to$\frac{\sqrt m}{\sqrt q}$$\f...

A scalar valued function is defined as $f(X)=X^TAX+b^TX+c,$ where A is a symmetric positive definite matrix with dimension $n\times n$; b and X are vectors of dimension $...

The iteration step in order to solve for the cube roots of a given number N using the Newton-Raphson’s method is $x_{k+1}=x_k+\frac{1}{3}(N-x^3_k)$$x_{k+1}=\frac{1}{3}(2x...

For the matrix $A$ satisfying the equation given below, the eigenvalues are$$[A] \begin {bmatrix} 1&2&3\\7&8&9\\4&5&6\end{bmatrix}=\begin {bmatrix} 1&2&3\\4&5&6\\7&8&9\en...

In the circuit shown in the figure, initially the capacitor is uncharged. The switch $‘S’$ is closed at $t=0$. Two milliseconds after the switch is closed, the current th...

A capacitor $’C’$ is to be connected across the terminal $’A’$ and $’B’$ as shown in the figure so that the power factor of the parallel combination becomes unity. The va...

The resistance of a wire is given by the expression$$R=\frac{4\rho L}{\pi D^2},$$where, $\rho$ is the resistivity ($\Omega$-meter), $L$ is the length (meter) and D (meter...

The circuit shown in the figure contains a dependent current source between $A$ and $B$ terminals. The Thevenin’s equivalent resistance is $k\Omega$ between the terminals...

A thermistor has a resistance of $1\;k\Omega$ at temperature $298\;K$ and $465\;\Omega$ at temperature $316\;K$. The temperature sensitivity in $K^{-1}[i.e(1/R)(dR/dT),$ ...

A barium titanate piezoelectric crystal with $d_{33}=150\;pC/N, C_{crystal}=25\;pF$ and $R_{crystal}=10^{10}\Omega$ is used to measure the amplitude of a step force. The ...

A thermopile is constructed using $10$ junctions of Chromel-Constantan ( sensitivity $60\mu V/^\circ C$ for each junction) connected in series. The output is fed to an am...

A transit time ultrasonic flowmeter uses a pair of ultrasonic transducers placed at $45^{\circ}$ angle, as shown in the figure.The inner diameter of the pipe is $0.5\;m$....

Assuming an ideal op-amp in linear range of operation, the magnitude of the transfer impedance $\frac{V_0}{i}$ in $M\Omega$ of the current to voltage converter shown in t...

For the circuit shown in the figure, the transistor has $\beta=40, V_{BE}=0.7\;V$, and the voltage across the Zener diode is $15\;V$. The current (in mA) through the Zene...

In the figure, transistors $T_1$ and $T_2$ have identical characteristics. $V_{CE(sat)}$ of transistor $T_3$ is $0.1\:V$. The voltage $V_1$ is high enough to put $T_3$ in...

The figures show an oscillator circuit having an ideal Schmitt trigger and its input-output characteristics. The time period (in ms) of $v_{\circ}(t)$ is ______________.

An $N-$bit, $ADC$ has an analog reference voltage $V$. Assuming zero mean and uniform distribution of the quantization error, the quantization noise power will be:$\frac{...

A microprocessor accepts external interrupts (Ext INT) through a Programmable Interrupt Controller as shown in the figure. Assuming vectored interrupt, a correct sequence...

The circuit in the figure represents a counter-based unipolar $ADC$. when $SOC$ is asserted the counter is reset and clock is enabled so that the counter counts up and th...

$X(k)$ is the Discrete Fourier Transform of a 6-point real sequence $x(n).$If $X(0)=9+j0, X(2)=2+j2, X(3)=3-j0, X(5)=1-j1, x(0)$ is$3$$9$$15$$18$

The transfer function of a digital system is given by:$$\frac{b_0}{1-z^{-1}+a_2z^{-2}},\text{ where $a_2$ is real.}$$The transfer function in $BIBO$ stable if the value o...

The transfer function of a system is given by$$G(s)=\frac{e^{-s/500}}{s+500}$$The input to the system is $x(t)=\sin100\pi t$. In periodic steady state the output of the s...

In the microprocessor controlled measurement scheme shown in the figure, $R_x$ is the unknown resistance to be measured, while $R_{ref}$ and $C_{ref}$ are known. $C_{ref...

Frequency of an analog periodic signal in the range of $5kHz-10kHz$ is to be measured with a resolution of $100Hz$ by measuring its period with a counter. Assuming neglig...

The loop transfer function of a feedback control system is given by$$G(s)H(s)=\frac{1}{s(s+1)(9s+1)}$$Its phase crossover frequency (in rad/s), approximated to two decima...

Consider a transport lag process with a transfer function$$G_p(S)=e^{-s}$$The process is controlled by a purely integral controller with transfer function$$G_c(S)=\frac{K...

Consider the control system shown in figure with feed forward action for rejection of a measurable disturbance $d(t)$. The value of $K$, for which the disturbance respons...

A mixture contains two mutually inert solutions $’X’$ and $’Y’$ in equal volumes. The mixture is examined in a spectrophotometer using a cuvette. It is observed that the ...

Monochromatic light from a step index $(n_1=1.500;n_2=1.485),$ multimode optical fiber of core diameter $100\;\mu m$ is incident through air $(n=1.000)$ onto a linear pho...

An image of the chest of a patient is taken with an $X-ray$ machine on a photographic film. The Hurter-Driffield (HD) curve of the film is shown in the figure. The highly...

For the given low-pass circuit shown in the figure, the cutoff frequency in Hz will be ____________.

$\text{Statement:}$ There were different streams of freedom movements in colonial India carried out by the moderates, liberals, radicals, socialists, and so on.Which one ...

What is the chance that a leap year, selected at random, will contain $53$ Saturdays?$2/7$$3/7$$1/7$$5/7$

A car travels $8\;\text{km}$ in the first quarter of an hour, $6\;\text{km}$ in the second quarter and $16\;\text{km}$ in the third quarter. The average speed of the car ...

The set of values of $\text{p}$ for which the roots of the equation $3\text{x}^2+2\text{x}+\text{p}\text{(p-1)}=0$ are of opposite sign is $(-\infty,\;0)$$(0,\;1)$$(1,\;\...

Find the sum to $n$ terms of the series $10+84+734+….$$\frac{9(9^n+1)}{10}+1$$\frac{9(9^n-1)}{8}+1$$\frac{9(9^n-1)}{8}+n$$\frac{9(9^n-1)}{8}+n^2$