GATE EC Networks, Signals and Systems questions

Practise Networks, Signals and Systems questions for GATE EC. Explore official PYQs and original subject-wise quizzes, check answers and view available solutions. Free, no sign-in.

Identify whether the signal and system are continuous-time or discrete-time. Check linearity, time invariance and stability before selecting a transform or response method.

20 on this page

SubjectTopicYearType

x(t)

has a Fourier transform

X(\omega)

x(t)

is a real and odd function of

t

X(\omega)

2

-port network is shown in the given figure. The parameter

h_{21}

for this network can be given by

[f(t)]=\mathrm{F}(s)

[f(t-\mathrm{T})]

z

\mathrm{F}(z)

of the function

f(n \mathrm{T})=a^{\prime \prime T}

The Nyquist sampling frequency (in

\mathrm{Hz}

) of a signal given by

6 \times 10^{4} \sin c^{2}(400 t)^{*} 10^{6} \sin c^{3}(100 t)

z

-transform of a signal is given by

C(z)=\frac{1 z^{-1}\left(1-z^{-4}\right)}{4\left(1-z^{-1}\right)^{2}}

Its final value is

\text{dc}

power supply has a no-load voltage if

30 \mathrm{~V}

, and a full-load voltage of

25 \mathrm{~V}

at a full - load current of

1 \mathrm{~A}

. Its output resistance and load regulation, respectively, are

A Delta-connected network with its Wye-equivalent is shown in the given figure is. The resistances

R_{1}, R_{2}

R_{3}

(in ohms) are respectively

The Thevenin equivalent voltage

\mathrm{V}_{\mathrm{TH}}

appearing between the terminals

A

B

of the network shown in the given figure is given by

The Fourier series representation of an impules train denoted by

s(t)=\sum_{n=-\infty}^{n} d\left(t-n \mathrm{~T}_{0}\right) \text{ is given by }

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

The transfer function of a zero-order-hold system is

Z

-transform of the time function

\sum_{k=0}^{\infty} \delta(n-k)

The voltage across the terminals

a

b

in the figure is

The short-circuit admittance matrix o a two-port network is

\left[\begin{array}{cc} 0 & -1 / 2 \\ 1 / 2 & 0 \end{array}\right]

The two-port network is

A periodic signal

x(t)

T_0

x(t)= \begin{cases}1, & |t|<T_1 \\ 0, & T_1<|t|<\frac{T_0}{2}\end{cases}

\text{d.c}

x(t)

Superposition theorem is

\text{NOT}

applicable to networks containing

The nodal method of circuit analysis is based on

The trigonometric Fourier series of a periodic time function can have only

7

5

independent loops. The number of branches in the network is