#161
3 3 votes
2 2 answers
2.4k
2.4k views
​​​​For the Boolean function\[F(A, B, C, D)=\sum m(0,2,5,7,8,10,12,13,14,15) \text {, }\]the essential prime implicants are $\_\_\_\_\_\_$.$B D, \bar{B} \bar{D}$$B D, A B...
#162
0 0 votes
0 0 answers
1.4k
1.4k views
​​​​A white Gaussian noise $w(t)$ with zero mean and power spectral density $\frac{N_{0}}{2}$, when applied to a first-order RC low pass filter produces an output $n(t)$....
#163
2 2 votes
1 1 answer
1.9k
1.9k views
​​​​A causal and stable $\text{LTI}$ system with impulse response $h(t)$ produces an output $y(t)$ for an input signal $x(t)$. A signal $x(0.5 t)$ is applied to another c...
#164
0 0 votes
0 0 answers
2.7k
2.7k views
​​​​For non-degenerately doped n-type silicon, which one of the following plots represents the temperature $(T)$ dependence of free electron concentration $(n)$ ?
#165
0 0 votes
2 2 answers
3.8k
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​In the circuit shown, the $n: 1$ step-down transformer and the diodes are ideal. The diodes have no voltage drop in forward biased condition. If the input voltage (in Vo...
#166
3 3 votes
0 0 answers
1.9k
1.9k views
​​​​​For a causal discrete-time LTI system with transfer function\[H(z)=\frac{2 z^{2}+3}{\left(z+\frac{1}{3}\right)\left(z-\frac{1}{3}\right)}\]which of the following sta...
#167
1 1 vote
0 0 answers
1.8k
1.8k views
​​​​​Let $\rho(x, y, z, t)$ and $u(x, y, z, t)$ represent density and velocity, respectively, at a point $(x, y, z)$ and time $t$. Assume $\frac{\partial \rho}{\partial t...
#168
0 0 votes
0 0 answers
2.2k
2.2k views
​​​The free electron concentration profile $n(x)$ in a doped semiconductor at equilibrium is shown in the figure, where the points $\mathrm{A}, \mathrm{B}$, and $\mathrm{...
#169
1 1 vote
1 1 answer
1.8k
1.8k views
A machine has a $32$-bit architecture with $1$-word long instructions. It has $24$ registers and supports an instruction set of size $40$. Each instruction has five disti...
#170
1 1 vote
1 1 answer
3.0k
3.0k views
An amplitude modulator has output (in Volts)\[s(t)=A \cos (400 \pi t)+B \cos (360 \pi t)+B \cos (440 \pi t) .\]The carrier power normalized to $1 \Omega$ resistance is $5...
#171
2 2 votes
1 1 answer
1.7k
1.7k views
In a number system of base $r$, the equation $x^{2}-12 x+37=0$ has $x=8$ as one of its solutions. The value of $r$ is $\_\_\_\_\_\_\_$.
#172
2 2 votes
2 2 answers
2.6k
2.6k views
Let $\mathbb{R}$ and $\mathbb{R}^{3}$ denote the set of real numbers and the three dimensional vector space over it, respectively. The value of $\alpha$ for which the set...
#173
1 1 vote
0 0 answers
1.5k
1.5k views
In the given circuit, the current $I_{x}$ (in $m A$ ) is $\_\_\_\_\_\_\_\_$.
#174
0 0 votes
1 1 answer
2.2k
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In the circuit given below, the switch $\text{S}$ was kept open for a sufficiently long time and is closed at time $t=0$. The time constant (in seconds) of the circuit fo...
#175
2 2 votes
0 0 answers
1.4k
1.4k views
Suppose $\text{X}$ and $\text{Y}$ are independent and identically distributed random variables that are distributed uniformly in the interval $[0,1]$. The probability tha...
#176
0 0 votes
0 0 answers
1.8k
1.8k views
A source transmits symbols from an alphabet of size $16$. The value of maximum achievable entropy (in bits) is $\_\_\_\_\_\_$.
#177
1 1 vote
0 0 answers
2.8k
2.8k views
As shown in the circuit, the initial voltage across the capacitor is $10 \mathrm{~V}$, with the switch being open. The switch is then closed at $t=0$. The total energy di...
#178
1 1 vote
0 0 answers
2.1k
2.1k views
​​​​​Consider the Earth to be a perfect sphere of radius $\text{R}$. Then the surface area of the region, enclosed by the $60^{\circ} \mathrm{N}$ latitude circle, that co...
#179
1 1 vote
0 0 answers
2.3k
2.3k views
​​​​​Consider a unity negative feedback control system with forward path gain $G(s)=\frac{K}{(s+1)(s+2)(s+3)}$ as shown.The impulse response of the closed-loop system dec...
#180
1 1 vote
0 0 answers
2.0k
2.0k views
​​​​​A satellite attitude control system, as shown below, has a plant with transfer function $G(s)=\frac{1}{s^{2}}$ cascaded with a compensator $C(s)=\frac{K(s+\alpha)}{s...