GATE EC question library

An op. amp. has an offset voltage of $1 \mathrm{mV}$ and is ideal in all other respects. If this op. amp. is used in the circuit shown in the given figure, the output voltage will be (select the nearest value)

The $\text{JFET}$ in the circuit shown in the given figure has an $\mathrm{I}_{\mathrm{DSS}}=10 \mathrm{~mA}$ and $\mathrm{V}_{\mathrm{p}}=5 \mathrm{~V}$. The value of the resistance $\mathrm{R}_{\mathrm{s}}$ for a drain current $\mathrm{I}_{\mathrm{DS}}=6.4 \mathrm{~mA}$ is (select the nearest value)

An $n$-channel $\text{JFET}$ has a pinch-off voltage of $\mathrm{V}_{p}=-5 \mathrm{~V}, \mathrm{~V}_{\mathrm{DS}}(\max )=20 \mathrm{~V}$, and $\delta_{m}=2 \mathrm{~mA} / \mathrm{V}$. The minimum ' $\mathrm{ON}^{\prime}$ ' resistance is achieved in the $\text{JEFT}$ for

An infrared $\text{LED}$ is usually fabricated from

A $\text{P-N}$ junction series with a $100$ ohms resistor, is forward based so that a current of $100 \mathrm{~mA}$ flows. If the voltage across this combination is instantaneously reversed to $10 \mathrm{~V}$ at $t=0$, the reverse current that flows through the diode at $t=0$ is approximately given by

A semiconductor is irradiated with light such that carriers are uniformly generated throughout its volume. The semiconductor is $n$-type with $N_{D}=10^{19}$ per $\mathrm{cm}^{3}$. If the excess electron concentration in the steady state is $\Delta n=10^{15}$ per $\mathrm{cm}^{3}$ and if $\tau_{p}=10 \mu \sec$ [minority carrier life time] the …

A linear discrete-time system has the characteristic equation, $z^{3}-0.81 z=0$. The system

A process with open-loop model $G(s)=\frac{k e^{-s \mathrm{~T}_{4}}}{t s+1}$ is controlled by a $\text{PID}$ controller. For this process

A linear time-invariant system is described by the state variable model …

Of the four networks, $\mathrm{N}_{1}, \mathrm{~N}_{2}, \mathrm{~N}_{3}$ and $\mathrm{N}_{4}$ of the given figure, the networks having identical driving point functions are

For the compensated attenuator of the given figure, the impulse response under the condition $R_{1} C_{1} = R_{2} C_{2}$ is

For a $2$-port network to be reciprocal,

Relative to a given fixed tree of a network,