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Recent activity by Anjana5051
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TIFR ECE 2023 | Question: 12
Consider a disk $D$ of radius $1$ centered at the origin. Let $X$ be a point uniformly distributed on $D$ and let the distance of $X$ from the origin be $R$. Let $A$ be the (random) area of the disk with radius $R$ centered at the origin. Then $\mathbb{E}[A]$ is $\frac{\pi}{3}$ $\frac{\pi}{6}$ $\frac{\pi}{4}$ $\frac{\pi}{2}$ None of the above
Consider a disk $D$ of radius $1$ centered at the origin. Let $X$ be a point uniformly distributed on $D$ and let the distance of $X$ from the origin be $R$. Let $A$ be t...
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Jul 8, 2023
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tifrece2023
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TIFR ECE 2023 | Question: 6
An ant in the plane travels in a spiral such that its position $(x(t), y(t))$ at time $t \geq 0$ is $\left(e^{t} \cos t, e^{t} \sin t\right)$. At time $t=1$, find the real part of $\ln (x(t)+i y(t))$. $-2$ $1$ $0$ $-1$ $2$
An ant in the plane travels in a spiral such that its position $(x(t), y(t))$ at time $t \geq 0$ is $\left(e^{t} \cos t, e^{t} \sin t\right)$. At time $t=1$, find the rea...
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Jul 8, 2023
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tifrece2023
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GATE ECE 1997 | Question 3.10
A very lossy, $\lambda / 4$ long, $50 \; \Omega$ transmission line is open circuited at the load end. The input impedance measured at the other end of the line is approximately $0$ $50 \; \Omega$ $\infty$ None of the above
A very lossy, $\lambda / 4$ long, $50 \; \Omega$ transmission line is open circuited at the load end. The input impedance measured at the other end of the line is approxi...
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Nov 27, 2022
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gate1997-ec
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GATE ECE 1991 | Question 6
In figure, the operational amplifier is ideal and its output can swing between $-15$ and $+15$ volts. The input $v_\rho$ which is zero for $t<0$, is switched to $5$ volts at the instant $\mathrm{t}=0$. Given that the output $v_0$ is ... $v_0$ and $v_i$. You must give the values of important parameters of this sketch.
In figure, the operational amplifier is ideal and its output can swing between $-15$ and $+15$ volts. The input $v_\rho$ which is zero for $t<0$, is switched to $5$ volts...
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Nov 19, 2022
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gate1991-ec
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GATE ECE 1991 | Question 1.11
The characteristic equation of a feedback control system is given by $ s^3+5 s^2+(K+6) s+K=0 $ Where $K>0$ is a scalar variable parameter. In the root loci diagram of the system the asymptotes of the root locus for large values of $\mathrm{K}$ meet at a point in the $s$-plane whose coordinates are $(-3,0)$ $(-2,0)$ $(-1,0)$ $(2,0)$
The characteristic equation of a feedback control system is given by$$ s^3+5 s^2+(K+6) s+K=0 $$Where $K>0$ is a scalar variable parameter. In the root loci diagram of the...
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Nov 19, 2022
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gate1991-ec
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GATE ECE 2005 | Question: 55
Both transistors $\mathrm{T} 1$ and $\mathrm{T} 2$ show in the figure, have a threshold voltage of $1$ Volts. The device parameters $\mathrm{K}_1$ and $\mathrm{K}_2$ of $\mathrm{T} 1$ and $\mathrm{T} 2$ are, respectively, $36 \; \mu \mathrm{A/V}^{2}$ ... $V_{0}$ is $1 \mathrm{~V}$ $2 \mathrm{~V}$ $3 \mathrm{~V}$ $4 \mathrm{~V}$
Both transistors $\mathrm{T} 1$ and $\mathrm{T} 2$ show in the figure, have a threshold voltage of $1$ Volts. The device parameters $\mathrm{K}_1$ and $\mathrm{K}_2$ of $...
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Sep 23, 2022
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gate2005-ec
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