Recent questions tagged gate2010-ec

The trigonometric Fourier series for the waveform $f(t)$ shown below containsonly cosine terms and zero value for the $dc$ componentonly cosine terms and a positive value...

A function $n(x)$ satisfies the differential equation $\frac{d^{2} n(x)}{d x^{2}}-\frac{n(x)}{L^{2}}=0$ where $L$ is a constant. The boundary conditions are: $n(0)=K$ and...

At room temperature a possible value for the mobility of electrons in the inversion layer of a silicon $n$-channel MOSFET is$450 \text{ cm}^2 / \text{V-s}$$1350 \text{ cm...

Thin gate oxide in a $\text{CMOS}$ process is preferably grown usingwet oxidationdry oxidationepitaxial depositionion implantation

In the silicon $\text{BJT}$ circuit shown below, assume that the emitter area of transistor $\text{Q1}$ is half that of transistor $\text{Q2.}$The value of current $\text...

The amplifier circuit shown below uses a silicon transistor. The capacitors $\mathrm{C}_{\mathrm{C}}$ and $\mathrm{C}_{\mathrm{E}}$ can be assumed to be short at signal f...

In the circuit shown, the device connected to $\text{Y5}$ can have address in the range$2000 – \mathrm{20FF}$$\mathrm{2D00} – \mathrm{2DEF}$$\mathrm{2E00} – \mathrm{2EFF...

Consider the $z$-transform $X(z)=5 z^2+4 z^{-1}+3 ; 0<|z|<\infty$. The inverse $z$-transform $x[n]$ is$5\; \delta[n+2]+3\; \delta[n]+4\; \delta[n-1]$$5\; \delta[n-2]+3\; ...

For an $\mathrm{N}$-point $\mathrm{FFT}$ algorithm with $\mathrm{N}=2^{\text {m}}$, which one of the following statements is $\text{TRUE}?$It is not possible to construct...

The transfer function $\text{Y(s) / R(s)}$ of the system shown is$0$$\frac{1}{\text{s}+1}$$\frac{2}{\text{s}+1}$$\frac{2}{\text{s}+3}$

A system with the transfer function $\frac{Y(s)}{X(s)}=\frac{s}{s+p}$ has an output $y(t)=\cos \left(2 t-\frac{\pi}{3}\right)$ for the input signal $x(t)=p \cos \left(2 t...

For the asymptotic Bode magnitude plot shown below, the system transfer function can be$\frac{10 \text{s}+1}{0.1 \text{s}+1}$$\frac{100 \text{s}+1}{0.1 \text{s}+1}$$\frac...

Suppose that the modulating signal is $m(t)=2 \cos \left(2 \pi f_{m} t\right)$ and the carrier signal is $x_{c}(t)=A_{C} \cos \left(2 \pi f_{c}t\right)$. Which one of the...

Consider an angle modulated signal $x(t)=6 \cos \left[2 \pi \times 10^{6} t+2 \sin (8000 \pi t)+4 \cos (8000 \pi t)\right] \mathrm{V}$. The average power of $x(t)$ is$10 ...

If the scattering matrix $[\text{S}]$ of a two port network is\[ [\text{S}]=\left[\begin{array}{cc}0.2 \angle 0^{\circ} & 0.9 \angle 90^{\circ} \\0.9 \angle 90^{\circ} & ...

A transmission line has a characteristic impedance of $50 \; \Omega$ and a resistance of $0.1 \; \Omega / \mathrm{m}$. If the line is distortionless, the attenuation cons...

Consider the pulse shape $s(t)$ as shown. The impulse response $h(t)$ of the filter matched to this pulse is ​​​​​​​

The electric field component of a time harmonic plane $\text{EM}$ wave traveling in a nonmagnetic lossless dielectric medium has an amplitude of $1 \; \mathrm{V/m}$. If t...

If $e^{y}=x^{\frac{1}{x}}$, then $y$ has amaximum at $x=e$minimum at $x=e$maximum at $x=e^{-1}$minimum at $x=e^{-1}$

A fair coin is tossed independently four times. The probability of the event "the number of times heads show up is more than the number of times tails show up" is$\frac{1...

If $\vec{A}=x y \hat{a}_{x}+x^{2} \hat{a}_{y}$, then $\oint_{c} \vec{A} \cdot d \vec{l}$ over the path shown in the figure is$0$$\frac{2}{\sqrt{3}}$$1$$2 \sqrt{3}$

The residues of a complex function $X(z)=\dfrac{1-2 z}{z(z-1)(z-2)}$ at its poles are$\frac{1}{2},-\frac{1}{2}$ and $1$$\frac{1}{2}, \frac{1}{2}$ and $-1$$\frac{1}{2}, 1$...

Consider a differential equation $\dfrac{d y(x)}{d x}-y(x)=x$ with the initial condition $y(0)=0$. Using Euler's first order method with a step size of $0.1$, the value o...