GATE EC question library

In the circuit shown in the given figure $\mathrm{N}$ is a finite gain amplifier with a gain of $k$, a very large input impedance, and a very low output impedance. The input impedance of the feedback amplifier with the feedback impedance $\mathrm{Z}$ connected as shown will be

A metal sphere with $1 \mathrm{~m}$ radius and a surface charge density of $10 \; \mathrm{Coulombs / m}^{2}$ is enclosed in a cube of $10 \mathrm{~m}$ side. The total outward electric displacement normal to the surface of the cube is

A transverse electromagnetic wave with circular polarisation is received by a dipole antenna. Due to polarisation mismatch, the power transfer efficiency from the wave to the antenna is reduced to about

The capacitance per unit length and the characteristic impedance of a lossless transmission line are $\mathrm{C}$ and $\mathrm{Zo}$ respectively. The velocity of a travelling wave on the transmission line

The image channel rejection in a superheterodyne receiver comes from

A rectangular pulse of duration $T$ is applied to a filter matched to this input. The output of the filter is a

The Fourier transform of a real-valued time signal has

The trigonometric Fourier series of an even function of time does not have the

The total number of memory accesses involved (inclusive of the $op$ – code fetch) when an $8085$ processor executes the instruction $\text{LDA}$ $2003$ is

A $12$ – bit $\text{ADC}$ is operating with a $1 \; \mu \; \mathrm{sec}$ clock period and the total conversion time is seen to be $14 \; \mu \;\mathrm{sec}$. The $\text{ADC}$ must be of the

A pulse train can be delayed by a finite number of clock periods using

Schottky clamping is resorted in $\text{TTL}$ gates

The circuit shown in the figure is that of

A $n$ – channel silicon $\left(E_{g}=1.1 \; \mathrm{eV}\right)$ MOSFET was fabricated using $n+$ poly-silicon gate and the threshold voltage was found to be $1 \mathrm{~V}$. Now, if the gate is changed to $v^{+}$poly-silicon, other things remaining the same, the new threshold voltage should be

The common-emitter short-circuit current gain $\beta$ of a transistor

If a transistor is operating with both of its junctions forward biased, but with the collector base forward bias greater than the emitter-base forward bias, then it is operating in the

The $p$ – type substrate in a conventional $p n$ – junction isolated integrated circuit should be connected to

A lossless transmission line having $50 \; \Omega$ charateristic impedance and lengh $\lambda / 4$ is short circuited at one end and connected to an ideal voltage source of $1 \mathrm{~V}$ at the other end. The current drawn from the voltage source is

The number of independent loops for a network with $n$ nodes and $b$ branches is

In the circuit of the given figure, assume that the diodes are ideal and the meter is an average indicating ammeter. The ammeter will read