GATE EC question library

The units of $\frac{q}{k T}$ are

In the $\text{MOSFET}$ amplifier of the figure is the signal outputs $V_{1}$ and $V_{2}$ obey the relationship

For full wave rectification, a four diode bridge rectifier is claimed to have the following advantages over a two diode circuit : (1) less expensive transformer, (2) smaller size transformer, and (3) suitability for higher voltage application. Of these,

In a series regulated power supply circuit, the voitage gain $A_{v}$ of the 'pass' transistor satisfies the condition

One input terminal of high gain comparator circuit is connected to ground and a sinusoidal voltage is applied to the other input. The output of comparator will be

A high-Q quartz crystal exhibits series resonance at the frequency $\omega_{s}$ and parallel resonance at the frequency $\omega_{p}$. Then

A multistage amplifier has a low-pass response with three real poles at $s=-\omega_{1}-\omega_{2}$ and $\omega_{3}$. The approximate overall bandwidth $\mathrm{B}$ of the amplifier will be given by

In a shunt-shunt negative feedback amplifier, as compared to the basic amplifier

The emitter coupled pair of $\text{BJT's}$ gives a linear transfer relation between the differential output voltage and the differenital input voltage $\mathrm{V}_{i d }$ only when the magnitude of $V_{i d}$ is less $\alpha$ times the thermal voltage, where $\alpha$ is

A distorted sinusoid has the amplitudes $\mathrm{A}_{1}, \mathrm{A}_{2}, \text{A}_3 \ldots \ldots$ of the fundamental, second harmonic, third harmonic, ...... respectively. The total harmonic distortion is

From a measurement of the rise time of the output pulse of an amplifier whose input is a small amplitude square wave, one can estimate the following parameter of the amplifier

In a differential amplifier, $\text{CMRR}$ can be improved by using an increased

The circuit of the figure is an example of feedback of the following type

Two identical $\text{FETs}$, each characterised by the parameters $g_m$ and $r_d$ are connected in parallel. The composite $\text{FET}$ is then characterised by the parameters

In a synchro error detector, the output voltage is proportional to $[\omega(t)]^n$, where $\omega(t)$ is the rotor velocity and $n$ equals

The transfer function of a system is $$\frac{2 s^2+6 s+5}{(s+1)^2(s+2)}$$ The characteristic equation of the system is

The Nyquist plot of a phase transfer function $g(j \omega) H(j \omega)$ of a system encloses the $(-1,0)$ point. The gain margin of the system is

The transfer function of a phase lead controller is $\frac{1+3 \mathrm{Ts}}{1+\mathrm{Ts}}$. The maximum value of phase provided by this controller is

Consider a feedback control system with loop transfer function $$\mathrm{G}(s) \mathrm{H}(s)=\frac{\mathrm{K}(1+0.5 s)}{s(1+s)(1+2 s)}$$ The type of the closed loop system is

In the Bode-plot of a unity feedback control system, the value of phase of $G(j \omega)$ at the gain cross over frequency is $-125^{\circ}$. The phase margin of the system is