Recent questions

A piezo-electric force sensor, connected by a cable to a voltage amplifier, has the following parameters:Crystal properties : Stiffness $10^9\;N/m,$ Damping ratio $0.01,$...

A piezo-electric force sensor, connected by a cable to a voltage amplifier, has the following parameters:Crystal properties : Stiffness $10^9\;N/m,$ Damping ratio $0.01,$...

The maximum value of the solution y(t) of the differential equation $y(t)+\ddot{y}(t)=0$ with initial conditions $\dot{y}(0)=1$ and $y(0)=1,$ for $t\underline{>}0$ is $1$...

The Laplace Transform representation of the triangular pulse shown below is $\frac{1}{s^2}[1+e^{-2s}]$$\frac{1}{s^2}[1-e^{-s}+e^{-2s}]$$\frac{1}{s^2}[1-e^{-s}+2e^{-2s}]$$...

In the circuit shown below, if the source voltage $V_s=100\angle 53.13^\circ$ Volts, then the Thevenin’s equivalent voltage in Volts as seen by the load resistance $R_L$ ...

A signal $V_i(t)=10+10\sin 100\pi t+10\sin 4000 \pi t+10\sin 100000\pi t$ is supplied to a filter circuit (shown below) made up of ideal op-amps. The least attenuated fre...

The signal flow graph for a system is given below. The transfer function $\frac{Y(s)}{U(s)}$ for this system is given as $\frac{s+1}{5s^2+6s+2}$$\frac{s+1}{s^2+6s+2}$ $\f...

A voltage $1000\sin \omega t$ Volts is applied across $YZ$. Assuming ideal diodes, the voltage measured across $WX$ in Volts, is$\sin \omega t$$(\sin \omega t+|\sin \omeg...

In the circuit shown below the op-amps are ideal. Then $V_{out}$ in Volts is$4$$6$$8$$10$

The following arrangement consists of an ideal transformer and an attenuator, which attenuates by a factor of 0.8. An ac voltage $V_{WX1}=100V$ is applied across $WX$ to ...

The open-loop transfer function of a dc motor is given as $\frac{\omega(s)}{V_a(s)}=\frac{10}{1+10s}.$ When connected in feedback as shown below, the approximate value of...

Two magnetically uncoupled inductive coils have $Q$ factors $q_1$ and $q_2$ at the chosen operating frequency. Their respective resistances are $R_1$ and $R_2$. When conn...

For the circuit shown below, the knee current of the ideal Zener diode is $\text{10 mA}.$ To maintain $5 V$ across $R_L$, the minimum value of the load resistor $R_L$ in ...

The impulse response of a continuous time system is given by $h(t)=\delta(t-1)+\delta (t-3)$. The value of the step response at $t=2$ is$0$$1$$2$$3$

Signals from fifteen thermocouples are multiplexed and each one is sampled once per second with a 16-bit $ADC$. The digital samples are converted by a parallel to serial...

Three capacitors $C_1,C_2$ and $C_3$ whose values are $10\mu F, 5\mu F,$ and $2\mu F$ respectively, have breakdown voltages of $10V, 5V$ and $2V$ respectively. For the in...

In the circuit shown below what is the output voltage $(V_{out})$ in Volts if a silicon transistor Q and an ideal op-amp are used?$-15$$-0.7$$+0.7$$+15$

In the feedback network shown below, if the feedback factor k is increased, then theinput impedance increases and output impedance decreasesinput impedance increases and ...

The bode plot of a transfer function $G(s)$ is shown in the figure below.The gain $(20\;log|G(s)|)$ is $32$ dB and $-8$ dB at $1$ rad/s and $10$ rad/s respectively. The p...

While numerically solving the differential equation $\frac{dy}{dx}+2xy^2=0,\; y(0)=1$ using Euler’s predictor-corrector (improved Euler-Cauchy) method with a step size of...

One pair of eigenvectors corresponding to the two eigenvalues of the matrix $\begin{bmatrix}0&-1\\1&0\end{bmatrix}$ is$\begin{bmatrix}1\\-j\end{bmatrix}$,$\begin{bmatrix}...

The digital circuit shown below uses two negative edge-triggered D-flip-flops. Assuming initial condition of $Q1$ and $Q0$ as zero, the output $Q1Q0$ of this circuit is $...

Considering the transformer to be ideal, the transmission parameter $’A’$ of the 2-port network a shown in the figure below is $1.3$$1.4$$0.5$$2.0$

A continuous random variable $X$ has a probability density function $f(x)=e^{-x}, 0<x<\propto$. Then $\text{P{X>1}}$ is $0.368$$0.5$$0.632$$1.0$

A band-limited signal with a maximum frequency of $5\;kHz$ is to be sampled. According to the sampling theorem, the sampling frequency in $kHz$ which is not valid is$5$$1...

The differential pressure transmitter of a flow meter using a venturi tube reads $2.5\times 10^5\;Pa$ for a flow rate of $0.5\;m^3/s$. The approximate flow rate in $m^3/s...

A bulb in a staircase has two switches, one switch being at the ground floor and the other one at the first floor. The bulb can be turned $ON$ and also can be turned $OFF...

The impulse response of a system is $h(t)=t\;u(t)$. For an input $u(t-1),$ the output is$\frac{t^2}{2}u(t)$$\frac{t(t-1)}{2}u(t-1)$$\frac{(t-1)^2}{2}u(t-1)$$\frac{t^2-1}{...

Consider a delta connection of resistors and its equivalent star connection as shown. If all elements of the delta connection are scaled by a factor k, k>0, the elements ...

An accelerometer has input range of $0$ to $10g$, natural frequency $30\; Hz$ and mass $0.001\;kg$. The range of the secondary displacement transducer in mm required to c...

A source $v_s(t)=V\cos 100 \pi t$ has an internal impedance of $4+j3\; \Omega$. If a purely resistive load connected to this source has to extract the maximum power out o...

Which one of the following statements is $\text{NOT TRUE}$ for a continuous time casual and stable $LTI$ system?All the poles of the system must lie on the left side of t...

The Operational amplifier shown in the circuit below has a slew rate of $0.8\; Volts/\mu s$. The input signal is $0.25\; \sin (\omega t).$ The maximum frequency of input ...

Assuming zero initial condition, the response $y(t)$ of the system given below to a unit step input $u(t)$ is$u(t)$$t u(t)$$\frac{t^2}{2}u(t)$$e^{-t}u(t)$

The transfer function $\frac{V_2(s)}{V_1(s)}$ of the circuit shown below is $\frac{0.5s+1}{s+1}$$\frac{3s+6}{s+2}$$\frac{s+2}{s+1}$$\frac{s+1}{s+2}$

The type of the partial differential equation $\frac{\partial f}{\partial t}=\frac{\partial^2 f}{\partial x^2}$ isParabolicEllipticHyperbolicNonlinear

The discrete-time transfer function $\frac{1-2 Z^{-1}}{1-0.5Z^{-1}}$ isnon-minimum phase and unstableminimum phase and unstableminimum phase and stablenon-minimum phase a...

Match the following biomedical instrumentation techniques with their applications$\text{P-U, Q-V, R-X, S-W}$$\text{P-V, Q-U, R-X, S-W}$$\text{P-V, Q-W, R-U, S-X}$$\text{P...

If the A-matrix of the state space model of a $SISO$ linear time invariant system is rank deficient, the transfer function of the system must have a pole with a positive ...

Two systems with impulse responses $h_1(t)\;and\; h_2(t)$ are connected in cascade. Then the overall impulse response of the cascaded system is given byproduct of $h_1(t)...