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601
GATE IN 2023 | Question: 50
In the circuit shown, the input voltage $\mathrm{V}_{\text {in }}=100 ~ \mathrm{mV}$. The switch and the opamp are ideal. At time $\mathrm{t}=0$, the initial charge stored in the $10 ~ \mathrm{nF}$ capacitor is $1 ~ \mathrm{nC}$, with the polarity as indicated in the figure. The switch $\mathrm{S}$ is ... $t=20 \mathrm{~ms}$, the magnitude of the voltage $\mathrm{V}_{\mathrm{o}}$ will be______________$\mathrm{mV}$ (rounded off to the nearest integer).
In the circuit shown, the input voltage $\mathrm{V}_{\text {in }}=100 ~ \mathrm{mV}$. The switch and the opamp are ideal. At time $\mathrm{t}=0$, the initial charge store...
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602
GATE IN 2023 | Question: 38
Consider a standard negative feedback configuration with $G(s)=\frac{1}{(s-2)(s-3)}$ and the controller $C(s)=K_P+\frac{K_I}{s}+K_D s$. The root-locus of $G(s) C(s)$ is presented in the figure below. The gain $C(j \omega)=2$ at $\omega=1 ~ \mathrm{rad} / \mathrm{s}$. The value of $K_D$ is____________(rounded off to one decimal place).
Consider a standard negative feedback configuration with $G(s)=\frac{1}{(s-2)(s-3)}$ and the controller $C(s)=K_P+\frac{K_I}{s}+K_D s$. The root-locus of $G(s) C(s)$ is p...
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603
GATE IN 2023 | Question: 44
Four strain gauges $\mathrm{R}_{\mathrm{A}}, \mathrm{R}_{\mathrm{B}}, \mathrm{R}_{\mathrm{C}}$ and $\mathrm{R}_{\mathrm{D}}$, each with nominal resistance $\mathrm{R}$, are connected in a bridge configuration. When a force is applied, $\mathrm{R}_{\mathrm{A}}$ and $\mathrm{R}_{\mathrm{D}}$ ... $\mathrm{R}_{\mathrm{V}}$ required to balance the bridge is____________$\Omega$ (rounded off to two decimal places).
Four strain gauges $\mathrm{R}_{\mathrm{A}}, \mathrm{R}_{\mathrm{B}}, \mathrm{R}_{\mathrm{C}}$ and $\mathrm{R}_{\mathrm{D}}$, each with nominal resistance $\mathrm{R}$, a...
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604
GATE IN 2023 | Question: 41
A wire-wound 'resistive potentiometer type' angle sensor with $72$ turns is used in an application. The first turn of the potentiometer is connected to ground while its last turn is connected to $3.6 \mathrm{~V}$. The width of the wiper covers two turns ensuring makebefore-break. The output (wiper) voltage when the wiper is on top of both the turns $35$ and $36$ is_____________$\text{V}$ (rounded off to two decimal places).
A wire-wound 'resistive potentiometer type' angle sensor with $72$ turns is used in an application. The first turn of the potentiometer is connected to ground while its l...
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