Recent questions tagged numerical-answers

In the circuit, shown in the figure, the MOSFET is operating in the saturation zone. The characteristics of the MOSFET is given by $I_D=\frac{1}{2}(V_{GS}-1)^2$ $mA$, whe...

The two-input voltage multiplier, shown in the figure, has a scaling factor of $1$ and produces voltage output. If $V_1=+15\;V$ and $V_2=+3\;V$, the value of $V_\circ$ in...

The circuit of a Schmitt trigger is shown in the figure. The zener-diode combination maintains the output between $\pm7\;V$. The width of the hysteresis band is _________...

When the voltage across a battery is measured using a $d.c$. potentiometer, the reading shows $1.08\;V$. But when the same voltage is measured using a Permanent Magnet Mo...

The power delivered to a single phase inductive load is measured with a dynamometer type wattmeter using a potential transformer $(PT)$ of turns ratio $200:1$ and the cur...

The unbalanced voltage of the Wheatstone bridge, shown in the figure, is measured using a digital voltmeter having infinite input impedance and a resolution of $0.1$ $mV...

In the a.c. bridge, shown in the figure, $R=10^3$ $\Omega$ and $C=10^{-7}$ $F$. If the bridge is balanced at a frequency $\omega_\circ$, the value of $\omega_\circ$ in ...

The hot junction of a bare thermocouple, initially at room temperature $(30^\circ{C})$, is suddenly dipped in molten metal at $t=0$ $s$. The cold junction is kept at room...

A resistance temperature detector $(RTD)$ is connected to a circuit, as shown in the figure. Assume the opamp to be ideal. If $V_\circ=+2.0$ $V$, then the value of $x$ is...

The magnetic flux density of an electromagnetic flowmeter is $100\;mWb/m^2$. The electrodes are wall-mounted inside the pipe having a diameter of $0.25\;m$. A voltage of ...

The junction semiconductor temperature sensor shown in the figure is used to measure the temperature of hot air. The output voltage $V_\circ$ is $2.1\;V$. The current out...

Quantum efficiency of a photodiode (ratio between the number of liberated electrons and the number of incident photons) is $0.75$ at $830\;nm$. Given Planck’s constant $h...

In a sinusoidal amplitude modulation scheme (with carrier) the modulated signal is given by $A_m(t)=100\cos(\omega_ct) +50\cos(\omega_mt)\cos(\omega_ct)$, where $\omega_c...

An angle modulated signal with carrier frequency $\omega_c=2\pi\times10^6\;rad/s$ is given by $\varphi_m(t)=\cos(\omega_ct+5\sin(1000\pi t)+10\sin(2000\pi t))$. The maxim...

A current waveform, $i(t)$, shown in the figure, is passed through a Permanent Magnet Moving Coil $(PMMC)$ type ammeter. The reading of the ammeter up to two decimal plac...

The pressure drop across an orifice plate for a particular flow rate is $5\;Kg/m^2$. If the flow rate is doubled (within the operating range of the orifice), the correspo...

The angle between two vectors $X_1=\begin{bmatrix}2 & 6 & 14\end{bmatrix}^T$ and $X_2=\begin{bmatrix}-12 & 8 & 16\end{bmatrix}^T$ in radian is __________.

The current response of a series $\text R-L$ circuit to a unit step voltage is given in the table. The value of $L$ is __________$H$.

For the circuit, shown in the figure, the total real power delivered by the source to the loads is _____________$\text{kW}$.

If $\text{v}$ is a non-zero vector of dimensions $3\times1$, then the matrix $A=VV^T$ has a rank = ____________.

For a first order lowpass filter with unity $\text {d.c}$. gain and $-3\;\text {dB}$ corner frequency of $2000\pi \:\text {rad/s}$,the transfer function $H(j\omega)$ is $...

A series $\text {R-L-C}$ circuit is excited with a $50\;\text{V}$, $50\;\text{Hz}$ sinusoidal source. The voltages across the resistance and the capacitance are shown in ...

A circuit consisting of dependent and independent sources is shown in the figure. If the voltage at $\text{Node-1}$ is $-1\;\text{V}$, then the voltage at $\text{Node-2}$...

A periodic signal $\text{x(t)}$ is shown in the figure. The fundamental frequency of the signal $\text{x(t)}$ in $\text Hz$ is ____________.

If a continuous-time signal $x(t)=\cos(2\pi t)$ is sampled at $ \text{4 Hz}$, the value of the discrete-time sequence $x(n)$ at $n=5$ is$-0.707$$-1$$0$$1$

The differential amplifier, shown in the figure, has a differential gain of $A_d=100$ and common mode gain of $A_c=0.1$. If $V_1=5.01\;\text{V}$ and $V_2=5.00\;\text{V}$,...

The silicon diode, shown in the figure, has a barrier potential of $0.7\;\text{V}$. There will be no forward current flow through the diode, if $V_{dc}$, in $\text{volt}$...

The figure shows a phase locked loop. The output frequency is locked at $f_0=5\;\text{kHz}$. The value of $f_i$ in $\text{kHz}$ is _______________.

In the Figures (a) and (b) shown below, the transformers are identical and ideal ,except that the transformer in Figure (b) is centre -tapped. Asssuming ideal diodes, the...

In the circuit shown below, the input voltage V${_i}{_n}$ is positive. The current (I) – voltage(V) characteristics of the diode can be assumed to be I = I${_0}$e$^{v/vr}...

Four strain gauges in a Wheatstone bridge configuration are connected to an instrumentation amplifier as shown in the figure. From the choices given below, the preferred ...

A 3 x 3 matrix has eigenvalues 1, 2 and 5. The determinant of the matrix is $\_\_\_\_$.

In the circuit shown below, maximum power is transferred to the load resistance R${_L}$, when R${_L}$ = $\_\_\_\_$ $\Omega$.

Consider a circuit comprising only resistors with constant resistance and ideal independent DC voltage sources. If all the resistances are scaled down by a factor 10, an...

In the circuit shown below, initially the switch S${_1}$ is open, then capacitor C1 has a charge of 6 coulomb, and the capacitor C2 has 0 coulomb. After s${_1}$ is closed...

An 8-bit weighted resistor digital-to-analog converter(DAC) has the smallest resistance of 500 $\Omega$. The largest resistance has a value $\_\_\_\_$ k$\Omega$.

The total number of Boolean functions with distinct truth-tables that can be defined over 3 Boolean variables is $\_\_\_\_$.

The figure below shows the i $^{th}$ full-adder block of a binary adder circuit. C${_i}$ is the input carry and C${_i}{_+}{_1}$ is the output carry of the circuit. Assume...

The resistance of a resistor is measured using a voltmeter and an ammeter. The voltage measurements have a mean value of 1 V and standard deviation of 0.12 V while curren...

The dynamics of the state $\begin{bmatrix}x{_1} \\x{_2}\end{bmatrix}$ of a sytem is governed by the differential equation $\begin{bmatrix}x{_1} \\x{_2}\end{bmatrix}$ = ...