Recent questions tagged gate2011-ec

The modes in a rectangular waveguide are denoted by $\mathrm{TE}_{\mathrm{mn}} / \mathrm{TM}_{\mathrm{mn}}$ where $\mathrm{m}$ and $\mathrm{n}$ are the eigen numbers alon...

The Column-1 lists the attributes and the Column-2 lists the modulation systems. Match the attribute to the modulation system that best meets it.$\begin{array}{llrl} & \u...

The differential equation $100 \dfrac{d^2 y}{d t^2}-20 \dfrac{d y}{d t}+y=x(t)$ describes a system with an input $x(t)$ and an output $y(t)$. The system, which is initial...

For the transfer function $\text{G}(j \omega)=5+j \omega$, the corresponding Nyquist plot for positive frequency has the form

The trigonometric Fourier series of an even function does not have thedc termcosine termssine termsodd harmonic terms

When the output $\mathrm{Y}$ in the circuit below is $\text{“1",}$ it implies that data has changed from $\text{“0"}$ to $\text{“1"}$changed from $\text{“1"}$ to $\text{“...

The circuit below implements a filter between the input current $\mathrm{i}_{\mathrm{i}}$ and the output voltage $\mathrm{v}_{\mathrm{o}}$. Assume that the opamp is ideal...

A silicon $\text{PN}$ junction is forward biased with a constant current at room temperature. When the temperature is increased by $10^{\circ} \mathrm{C}$, the forward bi...

In the circuit shown below, the Norton equivalent current in amperes with respect to the terminals $\mathrm{P}$ and $\mathrm{Q}$ is$6.4-\mathrm{j} 4.8$$6.56-\mathrm{j} 7....

In the circuit shown below, the value of $\mathrm{R}_{\mathrm{L}}$ such that the power transferred to $\mathrm{R}_{\mathrm{L}}$ is maximum is$5\; \Omega$$10\; \Omega$$15\...

The value of the integral $\oint_c \frac{-3 z+4}{\left(z^2+4 z+5\right)} d z$ where $c$ is the circle $|z|=1$ is given by$0$$1 / 10$$4 / 5$$1$

A transmission line of characteristic impedance $50\; \Omega$ is terminated by a $50\; \Omega$ load. When excited by a sinusoidal voltage source at $10\; \mathrm{GHz}$, t...

Consider the following statements regarding the complex Poynting vector $\vec{P}$ for the power radiated by a point source in an infinite homogeneous and lossless medium....

An analog signal is band-limited to $4 \; \mathrm{kHz}$, sampled at the Nyquist rate and the samples are quantized into $4$ levels. The quantized levels are assumed to be...

A system is defined by its impulse response $h(n)=2^n u(n-2)$. The system isstable and causalcausal but not stablestable but not causalunstable and noncausal

In the circuit shown below, capacitors $\text{C}_1$ and $\text{C}_2$ are very large and are shorts at the input frequency. $\mathrm{v}_{\mathrm{i}}$ is a small signal inp...

Drift current in semiconductors depends upononly the electric fieldonly the carrier concentration gradientboth the electric field and the carrier concentrationboth the el...

A Zener diode, when used in voltage stabilization circuits, is biased in reverse bias region below the breakdown voltagereverse breakdown regionforward bias regionforward...

The circuit shown below is driven by a sinusoidal input $\mathrm{v}_{\mathrm{i}}=\mathrm{V}_{\mathrm{P}} \cos (\mathrm{t} / \mathrm{RC})$. The steady state output $\text{...

Consider a closed surface $S$ surrounding a volume V. If $\vec{r}$ is the position vector of a point inside $S$, with $\hat{n}$ the unit normal on $S$, the value of the i...

The solution of the differential equation $\frac{d y}{d x}=k y, y(0)=c$ is$x=c e^{-k y}$$x=k e^{c y}$$y=c e^{k x}$$y=c e^{-k x}$

The electric and magnetic fields for a $\text{TEM}$ wave of frequency $14 \; \mathrm{GHz}$ in a homogeneous medium of relative permittivity $\varepsilon_r$ and relative p...

A message signal $m(t)=\cos 2000 \pi t+4 \cos 4000 \pi t$ modulates the carrier $c(t)=\cos 2 \pi f_c t$ where $f_c=1 \; \mathrm{MHz}$ to produce an $\text{AM}$ signal. Fo...

For the $\text{BJT Q}_1$ in the circuit shown below, $\beta=\infty, \mathrm{V}_{\mathrm{BEon}}=0.7 \mathrm{V}, \mathrm{V}_{\mathrm{CEsat}}=0.7 \mathrm{V}$. The switch is ...

In the circuit shown below, the network $\mathrm{N}$ is described by the following $Y$ matrix:$Y=\left[\begin{array}{cc}0.1 \mathrm{~S} & -0.01 \mathrm{~S} \\ 0.01 \mathr...

In the circuit shown below, the initial charge on the capacitor is $2.5 \mathrm{~mC}$, with the voltage polarity as indicated. The switch is closed at time $t=0$. The cur...