Recent questions tagged numerical-answers

A pitot-static tube is used to estimate the velocity of an incompressible fluid of density 1 kg/m$^{3}$. If the pressure differences measured by the tube is 200 N/m$^{2}$...

A signal cos(2$\pi$f${_m}$t) modulates a carrier cos(2$\pi$f${_c}$t) using the double -sideband-with-carrier (DSDWC) scheme to yield a modulated signal cos(2$\pi$f${_c}$t...

In a control system with unity gain feedback, the plant has the transfer function P(s) = 3/s. Assuming that a controller of the form C(s) = K/(s + p) is used, where K is ...

The forward path transfer function L(s) of the control system shown in Figure(a) has the asymptotic Bode plot shown in Figure (b). If the disturbance d(t) is given by d(t...

In the control system shown in the figure below, a reference signal $r(t)=t^2$ is applied at time $t=0$. The control system employs a $PID$ controller $C(s)=K_p+K_1/s+K_D...

A voltage amplifier is constructed using enhancement mode $MOSFETs$ labeled $M_1,M_2,M_3$ and $M_4$ in the figure below. $M_1,M_2$ and $M_4$ are n-channel MOSFETs and $M_...

A differential capacitive sensor with a distance between the extreme plates $100\;mm$ is shown in figure below. The difference voltage $\Delta V=V_1-V_2,$ where $V_1$ and...

A piezoelectric transducer with sensitivity of 30 m V/kPa is intended to be used in the range of 0 kPa to 100 kPa. The readout circuit has a peak noise amplitude of 0.3 m...

A 100 W light source emits uniformly in all directions. A photodetector having a circular active area whose diameter is 2 cm is placed 1 m away from the source, normal to...

A resistance-meter has five measurement range-settings between 200 $\Omega$ and 2 M$\Omega$ in multiples of 10. The meter measures resistance of a device by measuring a f...

A pulsed laser emits rectangular pulses of width 1 nanosecond at a repetition rate of 1kHz. If the average power output is 1 mW, the average power over a single pulse dur...

​​​​​​Four identical resistive strain gauge factor of 2.0 used in a wheatstone bridge as shown in the figure below. Only one of the strain gauges R${_S}{_E}{_N}{_S}{_E}$ ...

The frequency response of a digital filter H($\omega$) has the following characteristicsPassband: 0.95$\le$|H($\omega$|$\le$1.05 for 0$\le$$\omega$$\le$0.3$\pi$ andStopba...

In the circuit shown below, a step input voltage of magnitude 5 V is applied at node A at time t = 0. If the capacitor has no charge for t $\leq$ 0, the voltage at node P...

In the circuit shown below, the angular frequency $\omega$ at which the current is in phase with the voltage is $\_\_\_\_\_\_$ rad/s.

The transfer function relating the input x(t) to the output y(t) of a system is given by G(s) = 1/(s + 3). A unit-step input is applied to the system at time t = 0. Assum...

The output of a continuous-time system y(t) is related to its input x(t) as y(t) = x(t) + $\frac{1}{2}$x(t-1). If the Fourier transforms of x(t) and y(t) are x($\omega$) ...

A discrete- time signal x[n] = e$^{j(\frac{5\pi}{3})n}$ + e$^{j(\frac{\pi}{4})n}$ is down-sampled to the signal x${_d}[n]$ such that x${_d}[n]$ = x[4n]. The fundamental...

In a control system with unity gain feedback, the transfer function of the loop-gain function is L(S) = 9e$^{-0.1s}$/S. The phase margin of the loop-gain function L(S) is...

In the circuit shown below, all transistors are n-channel enhancement mode MOSFETs. They are identical and are biased to operate in saturation mode. Ignoring channel leng...

In the circuit shown below, all OPAMPS are ideal. The current I = 0 A when the resistance R = $\_\_\_\_\_$ k$\Omega$

The parallel resistance-capacitance bridge shown below has a standard capacitance value of C${_1}$=0.1${_\mu}$F and a resistance value of R${_3}$=10 k$\Omega$. The bridge...

In a microprocessor with a 16 bit address bus, the most significant address lines A15 to A12 are used to select a 4096 word memory unit, while lines A0 to A11 are used to...

A signal x(t) has a bandwidth 2B about a carrier frequency of f${_c}$ = 2 GHz as shown in Figure (a) below. In order to demodulate this signal, it is first mixed (multipl...

Consider a Michelson interferometer as shown in the figure below. When the wavelength of the laser light source is switched from 400 nanometer to 500 nanometer, it is obs...

A straight line of the form $y=mx+c$ passes through the origin and the point $(x,y)$ =$(2,6)$. The value of $m$ is _____.

$\underset{n\rightarrow \infty }{\lim}\:\left(\sqrt{n^2+n}-\sqrt{n^2+1}\right)$ is __________.

A voltage $V_1$ is measured $100$ times and its average and standard deviation are $100$ V and $1.5$ V respectively. A second voltage $V_2$, which is independent of $V_1...

Three currents $i_1, i_2$ and $i_3$ meet at a node as shown in the figure below. If $i_1=3\cos(\omega t)$ ampere, $i_2=4\sin(\omega t)$ ampere and $i_3=I_3\cos(\omega t+\...

An air cored coil has a $Q$ of $5$ at a frequency of $100$ kHz. The $Q$ of the coil at $20$ kHz (neglecting skin effect) will be ________.

A current $i(t)$ shown in the figure below is passed through a $\text{1 F}$ capacitor that had zero initial charge. The voltage across the capacitor for $t>2s$ in $volt$ ...

The signal $x[n]$ shown in the figure below is convolved with itself to get $y[n]$. The value of $y[-1]$ is $\_\_\_\_\_\_\_\_.$

In the circuit shown below $ (v_1+v_2) =[1\; \sin(2\pi10000t)] + 1\;\sin(2\pi30000t)] \;V.$ The $RMS$ value of the current through the resistor $R$ will be minimum if th...

If $X(s)$, the Laplace transform of signal $x(t)$ is given by $X(s) = \frac{(s+2)}{(s+1)(s+3)^2}$, then the value of $x(t)$ as $t\rightarrow \infty$ is ______.

The number of times the Nyquist plot of $G(s)= \frac{s-1}{s+1}$ will encircle the origin clockwise is _______.

The input $i(t)$ = $2\sin(3t+\pi)$ is applied to a system whose transfer function $G(s)=\frac{8}{(s+10)^2}$.The amplitude of the output of the system is _______.

The diode $D$ used in the circuit below is ideal. The voltage drop $V_{ab}$ across the $1\;k\Omega$ resistor in $\text{volt}$ is $\_\_\_\_\_\_\_\_.$

In the circuit given below, the opamp is ideal. The output voltage $V_o$ in volt is $\_\_\_\_\_\_\_\_.$

In the circuit given below, each input terminal of the opamp draws a bias current of $\text{10 nA}$. The effect due to these input bias currents on the output voltage $V_...

A peizo-electric type pressure sensor has a sensitivity of $\text{1 mV/kPa}$ and a bandwidth of $\text{300 Hz to 300 kHz.}$ For a constant (dc) pressure of $\text{100 kPa...