Recent questions tagged gate2017-in

The standard for long distance analog signal transmission in process control industry is $\text{4-20 mV}$$\text{0-20 mA}$$\text{4-20 mA}$$\text{0-5 V}$

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 following table lists an $n^{th}$ order polynominal $f(x)=a_nx^n+a_{n-1}x^{n-1}+...+a_1x+a_0$ and the forward differences evaluated at equally spaced values of $x$. T...

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 = ____________.

The figure shows a shape $\text ABC$ and its mirror image $\text A_1B_1C_1$ across the horizontal axis $\text (X-axis)$. The coordinate transformation matrix that maps $\...

Let $z=x+jy$ where $j=\sqrt{-1}$. Then $\overline{\cos z}$ =$\cos z$$cos\overline{z}$$\sin z$$\sin\overline{z}$

The eigenvalues of the matrix $A=\begin{bmatrix}1 &-1 &5\\0 &5 &6\\0 &-6 &5\end{bmatrix}$ are$-1,\;5,\;6$$1,\;-5\pm j6$$1,\;5\pm j6$$1,\;5,\;5$

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 ...

The connection of two 2-port networks is shown in the figure. The $\text{ABCD}$ parameters of $N1$ and $N2$ networks are given as $$\begin{bmatrix}A &B\\C &D\end{bmatrix}...

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 ____________.

A system is described by the following differential equation:$\frac {dy(t)}{dt}+2y(t)=\frac {dx(t)}{dt}+x(t),\;x(0)=y(0)=0$where $\text{x(t)}$ and $\text{y(t)}$ are the i...

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 Region of Convergence $\text {(ROC)}$ of the $\text Z$-transform of a causal unit step discrete-time sequence is $|z|<1$$|z|\leq1$$|z|>1$$|z|\geq1$

The term hysteresis is associated with $\text{ON-OFF control}$$\text{P-I control}$$\text{Feed-forward control}$$\text{Ratio control}$

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 _______________.

The condition for oscillation in a feedback oscillator circuit is that at the frequency of oscillation, initially the loop gain is greater than unity while the total phas...

The output $\text V_\circ$ shown in the figure, in $\text{volt}$, is close to$-20$$-15$$-5$$0$

An $8$-bit microcontroller with $16$ address lines has $3$ fixed interrupts i.e., $\text{Int 1}$, $\text{Int 2}$ and $\text{Int 3}$ with corresponding interrupt vector a...

$\text{A}$ and $\text{B}$ are the logical inputs and $\text{X}$ is the logical output shown in the figure. The output $\text{X}$ is related to $\text{A}$ and $\text{B}$ ...