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.

20 on this page

SubjectTopicYearType

A good current buffer has

In the ac equivalent circuit shown in the figure, if

i_{in}

is the input current and

R_{F}

is very large, the type of feedback is

In the low-pass filter shown in the figure, for a cut-off frequency of

5\:kHz,

R_{2}\:(\text{in}\:k\Omega)

In the following circuit employing pass transistor logic, all NMOS transistors are identical with a threshold voltage of

1\: V.

Ignoring the body-effect, the output voltage at

P,Q

R

The Boolean expression

(X+Y)(X+\overline{Y}) + \overline{(X\;\overline{Y}) + \overline{X}}

Five JK flip-flops are cascaded to form the circuit shown in Figure. Clock pulses at a frequency of

1\: MHz

are applied as shown. The frequency

(\text{in}\:kHz)

of the waveform at

Q3

A discrete-time signal

x[n] = \sin(\pi^{2}n),n

being an integer, is

Consider two real valued signals,

x(t)

band-limited to

[-500\:Hz,500\:Hz]

y(t)

band-limited to

[-1\:kHz,1\:kHz].

z(t) = x(t)\cdot y(t),

the Nyquist sampling frequency (in

kHz

A continuous, linear time-invariant filter has an impulse response

h(t)

h(t) = \begin{cases}3 & \text{for } 0 \leq t \leq 3 \\ 0 & \text{otherwise} \end{cases}

When a constant input of value

5

is applied to this filter, the steady state output is ________.

The forward path transfer function of a unity negative feedback system is given by

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

K

which will place both the poles of the closed-loop system at the same location, is _______.

Consider the feedback system shown in the figure. The Nyquist plot of

G(s)

is also shown. Which one of the following conclusions is correct?

In a code-division multiple access

(\text{CDMA})

N = 8

chips, the maximum number of users who can be assigned mutually orthogonal signature sequences is ________.

The capacity of a Binary Symmetric Channel

\text{(BSC)}

with cross-over probability

0.5

A two-port network has scattering parameters given by

[S] = \begin{bmatrix}s_{11} &s_{12} \\s_{21} &s_{22} \end{bmatrix}.

If the port-2 of the two-port is short circuited, the

s_{11}

parameter for the resultant one-port network is

The force on a point charge

+q

kept at a distance

d

from the surface of an infinite grounded metal plate in a medium of permittivity

\epsilon\:

The Taylor series expansion of

3\sin x + 2 \cos x

g(t),

it is given that

\int_{- \infty}^{ + \infty} g(t)e^{-j\omega t}\:dt = \omega e^{-2\omega^{2}}

for any real value

\omega.

y(t) = \int_{- \infty}^{t}\:g(\tau)\:d\tau,

\int_{- \infty}^{ + \infty}y(t)dt

The volume under the surface

z(x,y) = x + y

and above the triangle in the

x – y

plane defined by

\{0 \leq y \leq x \: \text{and} \: 0 \leq x \leq 12\}

Consider the matrix

J_{6} = \begin{bmatrix} 0&0 &0 &0 &0 &1 \\ 0& 0& 0& 0& 1&0 \\ 0& 0& 0& 1& 0&0 \\ 0&0 & 1& 0&0 &0 \\0 &1 &0 &0 &0 &0 \\1 &0 &0 &0 & 0& 0\end{bmatrix}

which is obtained by reversing the order of the columns of the …

Y

-network has resistances of

10\Omega

each in two of its arms, while the third arm has a resistance of

11\Omega.

In the equivalent

\Delta

– network, the lowest value (in

\Omega)

among the three resistances is ______.