GATE EC question library

Practise GATE EC Electronics and Communication previous year questions free. Browse by subject, syllabus topic, year and question type, with answers and available solutions.

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SubjectTopicYearType

Under low level injection assumption, the injected minority carrier current for an extrinsic semiconductor is essentially the

The phenomenon known as "Early Effect" in a bipolar transistor refers to a reduction of the effective base-width caused by

The input impedance

\left(\text{Z}_i\right)

and the output impedance

\left(\text{Z}_o\right)

of an ideal transconductance (voltage controlled current source) amplifier are

n

-channel depletion MOSFET has following two points on its

\mathrm{I}_\text{D}-\mathrm{V}_{\text{GS}}

\text{V}_{\text{Gs}}=0

\text{I}_\text{D}=12 \mathrm{~mA}

\mathrm{V}_{\mathrm{GS}}=-6

\mathrm{I}_{\mathrm{D}}=0

Which of the following

\text{Q}

-points will give the highest trans-conductance gain for small …

The number of product terms in the minimized sum-of-product expression obtained through the following

\text{K}

-map is (where, "

d

" denotes don't care states)

\begin{array}{|c|c|c|c|} \hline 1 & 0 & 0 & 1 \\ \hline 0 & d & 0 & 0 \\ \hline 0 & 0 & d & 1 \\ \hline 1 & 0 & 0 & 1 \\ \hline \end{array}

x(t) \longleftrightarrow \mathrm{X}(j \omega)

be Fourier Transform pair. The Fourier Transform of the signal

x(5 t-3)

X(j \omega)

The Dirac delta function

\delta(t)

If the region of convergence of

x_1[n]+x_2[n]

\frac{1}{3}<|z|<\frac{2}{3}

, then the region of convergence of

x_1[n]-x_2[n]

The open-loop transfer function of a unity-gain feedback control system is given by

\text{G}(s)=\frac{\text{K}}{(s+1)(s+2)}

The gain margin of the system in

\text{dB}

In the system shown below,

x(t)=(\sin t) u(t)

. In steady-steady-state, the response

y(t)

The electric field of an electomagnetic wave propagating in the positive

z

-direction is given by

\left.\text{E}=\hat{a_x} \sin (\omega t-\beta z\right)+\hat{a_y} \sin \left(\omega t-\beta z+\frac{\pi}{2}\right)

A transmission line is feeding

1 \mathrm{Watt}

of power to a horn antenna having a gain of

10 \mathrm{~dB}

. The antenna is matched to the transmission line. The total power radiated by the horn antenna into the free-space is

The eigenvalues and the corresponding eigen vectors of a

2 \times 2

matrix are given by

\begin{array}{cc} \textbf{Eigenvalue}& \textbf{Eigenvector} \\ \lambda_1=8 & \text{v}_{1} = \left[ \begin{array} {} 1 \\ 1 \end{array} \right] \\ \lambda_2=4 & \text{v}_{2} = \left[ \begin{array} {c} 1 \\ – 1 \end{array} \right] \end{array}

For the function of a complex variable

\text{W}=\ln \text{Z}\; (

\mathrm{W}=u+j \mathrm{v}

\mathrm{Z}=x+j y),

u=

constant lines get mapped in

\text{Z}

The value of the contour integral

\displaystyle{}\oint_{\mid z-j \mid =2} \;\frac{1}{z^2+4} d z

in positive sense is

\displaystyle{}\int_0^\pi \sin ^3 \theta\; d \theta

Three companies

\text{X, Y}

\text{Z}

supply computers to a university. The percentage of computers supplied by them and the probability of those being defective are tabulated below …

\left[\begin{array}{ll}4 & 2 \\ 2 & 4\end{array}\right]

, the eigen value corresponding to the eigenvector

\left[\begin{array}{l}101 \\ 101\end{array}\right]

For the differential equation

\dfrac{d^2 y}{d x^2}+k^2 y=0

, the boundary conditions are

y=0

x=0

y=0

x=a

The form of non-zero solutions of

y

m

varies over all integers) are

Consider the function

f(t)

having Laplace transform

\text{F}(s)=\frac{\omega_0}{s^2+\omega_0^2} \operatorname{Re}[s]>0

The final value of

f(t)