GATE EC question library

In an ideal differential amplifier shown in the figure, a large value of $\left(R_{E}\right)$.

For an $n$-channel $\text{MOSFET}$ and its transfer curve shown in the figure, the threshold voltage is

The circuit using a $\text{BJT}$ with $\beta=50$ and $\mathrm{V}_{\mathrm{BE}}=0.7 \mathrm{~V}$ is shown in the figure. The base current $\mathrm{I}_{\mathrm{B}}$ and collector voltage $\mathrm{V}_{\mathrm{C}}$ are respectively

The zener diode in the regulator circuit shown in the figure has a Zener voltage of $5.8$ volts and a Zener knee current of $0.5 \mathrm{~mA}$. The maximum load current drawn from this circuit ensuring proper functioning over the input voltage range between $20$ and $30$ volts, is

The transistors used in a portion of the TTL gate shown in the figure have a $\beta=100$. The base-emitter voltage of is $0.7 \mathrm{~V}$ for a transistor in active region and $0.75 \mathrm{~V}$ for a transistor in saturation. If the sink current $I=1 \mathrm{~mA}$ and the output is at logic $0,$ then the current $I_{R}$ will be equal to

The Boolean expression for the truth table shown is …

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, $36 \; \mu \mathrm{A/V}^{2}$ and $9 \; \mu \mathrm{A} / \mathrm{V}^{2}$. The output voltage $V_{0}$ is

The present output $Q_{n}$ of an edge triggered JK flip-flop is logic $0.$ If $\mathrm{J}=1$, then $\mathrm{Q}_{n+1}$

The given figure shows a ripple counter using positive edge triggered flip-flops. If the present state of the counter is $Q_{2} \; Q_{1} \; Q_{0}=011$, then its next state $\left(Q_{2} \; Q_{1} \; Q_{n}\right)$ will be

What memory address range is $\text{NOT}$ represented by chip $\# \; 1$ and chip $\# \; 2$ in the figure $\text{A}_{0}$ to $\text{A}_{15}$ in this figure are the address lines and $\text{CS}$ means Chip Select.

The output $y(t)$ of a linear time invariant system is related to its input $x(t)$ by the following equation: $y(t)=0.5 x\left(t-t_{d}+\mathrm{T}\right)+x\left(t-t_{d}\right)+0.5 x\left(t-t_{d}-\mathrm{T}\right)$. The filter transfer function $\mathrm{H}(\omega)$ of such a system is given by

Match the following and choose the correct combination. …

A signal $x(n)=\sin \left(\omega_{0} n+\phi\right)$ is the input to a linear time-invariant system having a frequency response $\text{H}(e^{j \omega})$. If the output of the system $A x\left(n-n_{0}\right)$, then the most general form of $\angle \mathrm{H}\left(\mathrm{e}^{j \omega}\right)$ will be

For a signal $x(f)$ the fourier transform is $X(f)$. Then the inverse Fourier transform of $X(3 f+2)$ is given by

The polar diagram of a conditionally stable system for open loop gain $\text{K}=1$ is shown in the figure. The open loop transfer function of the system is known to be stable. The closed loop system is stable for

In the derivation of expression for peak percent overshoot, $M_{p}=\exp \left(\frac{-\pi \zeta}{\sqrt{1-\zeta^{2}}}\right) \times 100 \%$, which one of the following conditions is NOT required?

A ramp input applied to an unity feedback system results in $5 \%$ steady state error. The type number and zero frequency gain of the system are respectively

A double integrator plant, $\mathrm{G}(s)=\frac{\mathrm{K}}{s^{2}}, \mathrm{H}(\mathrm{s})=1$ is to be compensated to achieve the damping ratio $\zeta=0.5$, and an undamped natural frequency, $\omega_{n}=5 \; \mathrm{rad/s}$. Which one of the following compensator $G_{e}(s)$ will be suitable?

A $\text{MOS}$ capacitor made using $p$ type substrate is in the accumulation mode. The dominant charge in the channel is due to the presence of

A device with input $x(t)$ and output $y(t)$ is characterized by: $y(t)=x^{2}(t)$. An FM signal with frequency deviation of $90 \; \mathrm{kHz}$ and modulating signal bandwidth of $5 \; \mathrm{kHz}$ is applied to this device. The bandwidth of the output signal is