GATE EC question library

The voltage gain $\mathrm{A}_{u}=\frac{\mathrm{V}_{0}}{\mathrm{~V}_{i}}$ of the JFET amplifier shown in the figure is

A zener diode regulator in the figure is to be designed to meet the specifications: $I_{L}=10 \mathrm{~mA}$, $\mathrm{V}_{0}=10 \mathrm{~V}$ and $\mathrm{V}_{m}$ varies from $30 \mathrm{~V}$ to $50 \mathrm{~V}$. The zener diode has $V_{z}=10 \mathrm{~V}$ and $I_{z k}$ (knee current) $=1 \mathrm{~mA}$. For satisfactory operation.

The circuit in figure employs positive feedback and is intended to generate sinusoidal oscillation. If at a frequency $f_{0}, \mathrm{~B}(f)=\Delta \frac{V_{f}(f)}{V_{0}(f)}=\frac{1}{6} \angle 0^{\circ}$, then to sustain oscillation at this frequency

An amplifier using an opamp with a slew-rate $S R=1$ $V / \mu \mathrm{sec}$ has a gain of $40 \mathrm{~dB}$. If this amplifier has to faithfully amplify sinusoidal signals from dc to $20 \; \mathrm{kHz}$ without introducing any slew-rate induced distortion, then the input signal level must not exceed.

If the impulse response of a discrete-time system is $h[n]=-5^{n} u[-n-1]$, then the system function $\mathrm{H}(z)$ is equal to

The Laplace transform of a continuous-time signal $x(t)$ is $X(s)=\frac{5-s}{s^{2}-s-2}$. If the Fourier transform of this signal exists, then $x(t)$ is

If the $3$-phase balanced source in the figure is delivers $1500 \mathrm{~W}$ at a leading power factor of $0.844$, then the value of $Z_{L}$ (in ohm) is approximately

In the network of the figure is the maximum power is delivered to $R_{\mathrm{L}}$ if its value is