Recent questions tagged numerical-answers

Consider the circuits shown in the figure. The magnitude of the ratio of the currents, i.e., $|I_1/I_2|$, is ___________.

In the circuit shown, the voltage source $V(t)=15+0.1\sin(100t)$ volts. The $PMOS$ transistor is biased such that it is in situation with its gate-source capacitance beig...

In the circuit shown in the figure, both the $\text{NMOS}$ transistors are identical with their threshold voltages being $\text{5 V}$. Ignoring channel length modulation,...

A signal is band-limited to $\text{0 to 12 kHz}$. The signal spectrum is corrupted by additive noise which is band-limited to $\text{10 to 12 kHz}$. Theoretically, the mi...

The fundamental period of the signal $x(t)=2\cos(\frac{2\pi t}{3})+\cos(\pi t)$, in seconds, is ________________ s.

If the deflection of the galvanometer in the bridge circuit shown in the figure is zero, then the value of $R_X$ in ohms is _______________ $\Omega.$

A system is represented in state-space as $\dot{X}=AX+BU,$ where $A=\begin{bmatrix} 1 & 2 \\ \alpha & 6\end{bmatrix}$ and $B=\begin{bmatrix} 1 \\ 1\end{bmatrix}$. The val...

A liquid level measurement system employing a radio-isotope is mounted on a tank as shown in the figure. The absorption coefficient of water for the radiation is $7.7 \;m...

The figure shows a spot of light of uniform intensity $50\;W/m^2$ and size $10\;mm\times10\;mm$ incident at the exact center of a photo-detector, comprising two identical...

A beam of monochromatic light passes through two glass slabs of the same geometrical thickness at normal incidence. The refractive index of the first slab is $1.5$ and th...

$10\%$ of the population in a town is $HIV^+$. A new diagnostic kit for $HIV$ detection is available; this kit correctly identifies $HIV^+$ individuals $95\%$ of the time...

Given that $x$ is a random variable in the range $[0,\infty]$ with a probability density function $\frac{e \frac{-x}{2}}{K}$, the value of the constant $K$ is __________.

A vector is defined as $$f=y\hat{i}+x\hat{j}+z\hat{k}$$where $\hat{i},\hat{j},\hat{k}$ are unit vectors in Cartesian $(x,y,z)$ coordinate system.The surface integral $f....

The figure shows the schematic of a production process with machines $A, B$ and $C$. An input job needs to be pre-processed either by $A$ or by $B$ before it is fed to $C...

The circuit shown in figure was at steady state for $t < 0$ with the switch at position $‘A’$. The switch is thrown to position $‘B’$ at time $t=0$. The voltage V(volts)...

The average real power in watts delivered to a load impedance $Z_L=(4-j2)\Omega$ by an ideal current source $i(t)=4\sin(\omega t+20^\circ)A $ is ____________.

A pHelectrode obeys Nernst equation and is being operated at $25^\circ C$. The change in the open circuit voltage in millivolts across the electrode for a pH change from ...

For the op-amp shown in the figure, the bias currents are $I_{b1}=450\;nA$ and $I_{b2}=350\;nA$. The values of the input bias current $(I_B)$ and the input offset current...

The amplifier in the figure has gain of $-10$ and input resistance of $50\;k\Omega$. The values of $R_i$ and $R_f$ are:$R_i=500\;k\Omega, R_f=50\;k\Omega$$R_i=50\;k\Omega...

For the circuit shown in the figure assume ideal diodes with zero forward resistance and zero forward voltage drop. The current through the diode $D_2$ in $mA$ is _______...

The system function of an LTI system is given by$$H(Z)=\frac{1-\frac{1}{3}Z^{-1}}{1-\frac{1}{4}Z^{-1}}$$The above system can have stable inverse if the region of converge...

A discrete-time signal $x[n]$ is obtained by sampling an analog signal at $10\;kHz$. The signal $x[n]$ is filtered by a system with impulse response $h[n]=0.5${$ \delta [...

A full duplex binary $FSK$ transmission is made through a channel of bandwidth $10\;kHz$. In each direction of transmission the two carriers used for the two states are s...

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 ...

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...

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...

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...