#181
1 1 vote
0 0 answers
875
875 views
A uniform plane wave with electric field $\vec{E}(x)=A_{y} \hat{a}_{y} e^{-j \frac{2 \pi x}{3}} \mathrm{~V} / \mathrm{m}$ is travelling in the air (relative permittivity,...
#182
1 1 vote
1 1 answer
3.1k
3.1k views
​​​​​A $4$-bit priority encoder has inputs $D_{3}, D_{2}, D_{1}$, and $D_{0}$ in descending order of priority. The two-bit output $A B$ is generated as $00,01,10$, and 11...
#183
1 1 vote
1 1 answer
2.0k
2.0k views
​​​​​The propagation delay of the $2 \times 1$ MUX shown in the circuit is $10 \mathrm{~ns}$. Consider the propagation delay of the inverter as $0 \mathrm{~ns}$.If $\text...
#184
1 1 vote
0 0 answers
1.2k
1.2k views
​​​​​The sequence of states $\left(Q_{1} Q_{0}\right)$ of the given synchronous sequential circuit is - $\_\_\_\_\_\_\_$.$00 \rightarrow 10 \rightarrow 11 \rightarrow 00$...
#185
1 1 vote
0 0 answers
724
724 views
​​​​​Let $z$ be a complex variable. If $f(z)=\frac{\sin (\pi z)}{z^{2}(z-2)}$ and $C$ is the circle in the complex plane with $|z|=3$ then $\oint_{C} f(z) d z$ is $\_\_\_...
#186
2 2 votes
1 1 answer
2.5k
2.5k views
Consider two continuous time signals $x(t)$ and $y(t)$ as shown below If $X(f)$ denotes the Fourier transform of $x(t)$, then the Fourier transform of $y(t)$ is $\_\_\_\_...
#187
2 2 votes
0 0 answers
1.1k
1.1k views
​​​​​A source transmits a symbol $s$, taken from $\{-4,0,4\}$ with equal probability, over an additive white Gaussian noise channel. The received noisy symbol $r$ is give...
#188
0 0 votes
0 0 answers
1.1k
1.1k views
​​​​​A full scale sinusoidal signal is applied to a $10$ -bit $\mathrm{ADC}$. The fundamental signal component in the $\mathrm{ADC}$ output has a normalized power of $1 \...
#189
0 0 votes
0 0 answers
1.9k
1.9k views
​​​​​The information bit sequence $\{111010101\}$ is to be transmitted by encoding with Cyclic Redundancy Check $4$ (CRC-$4$) code, for which the generator polynomial is ...
#190
2 2 votes
1 1 answer
895
895 views
​​​​A continuous time signal $x(t)=2 \cos (8 \pi t+\pi / 3)$ is sampled at a rate of $15 \mathrm{~Hz}$. The sampled signal $x_{s}(t)$ when passed through an LTI system wi...
#191
0 0 votes
0 0 answers
978
978 views
​​​​​The opamps in the circuit shown are ideal, but have saturation voltages of $\pm 10 \mathrm{~V}$.Assume that the initial inductor current is $0 \mathrm{~A}$. The inpu...
#192
1 1 vote
0 0 answers
1.2k
1.2k views
In the circuit below, the opamp is ideal. If the circuit is to show sustained oscillations, the respective values of $R_{1}$ and the corresponding frequency of oscillatio...
#193
1 1 vote
0 0 answers
1.2k
1.2k views
In the circuit shown below, the transistors $M_{1}$ and $M_{2}$ are biased in saturation. Their small signal transconductances are $g_{m 1}$ and $g_{m 2}$ respectively. N...
#194
0 0 votes
0 0 answers
1.4k
1.4k views
Which of the following statements is/are true for a $\text{BJT}$ with respect to its DC current gain $\beta$ ?Under high-level injection condition in forward active mode,...
#195
1 1 vote
0 0 answers
793
793 views
Consider a system $S$ represented in state space as\[\frac{d x}{d t}=\left[\begin{array}{ll}0 & -2 \\1 & -3\end{array}\right] x+\left[\begin{array}{l}1 \\0\end{array}\rig...
#196
1 1 vote
0 0 answers
838
838 views
Let $F_{1}, F_{2}$, and $F_{3}$ be functions of $(x, y, z)$. Suppose that for every given pair of points $A$ and $B$ in space, the line integral $\int_{C}\left(F_{1} \mat...
#197
0 0 votes
1 1 answer
1.3k
1.3k views
​​​​​Consider the matrix $\left[\begin{array}{ll}1 & k \\ 2 & 1\end{array}\right]$, where $k$ is a positive real number. Which of the following vectors is/are eigenvector...
#198
2 2 votes
1 1 answer
3.2k
3.2k views
​​​​​The radian frequency value(s) for which the discrete time sinusoidal signal $x[n]=A \cos (\Omega n+\pi / 3)$ has a period of $40$ is/are $\_\_\_\_\_\_$.$0.15 \pi$$0....
#199
0 0 votes
0 0 answers
511
511 views
Let $X(t)=A \cos \left(2 \pi f_{0} t+\theta\right)$ be a random process, where amplitude $A$ and phase $\theta$ are independent of each other, and are uniformly distribut...
#200
0 0 votes
0 0 answers
578
578 views
A lossless transmission line with characteristic impedance $\mathrm{Z}_{0}=50 \Omega$ is terminated with an unknown load. The magnitude of the reflection co-efficient is ...