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

1.0 \; \mathrm{kHz}

signal is flat-top sampled at the rate of

1800

samples sec and the samples are applied to an ideal rectangular

\text{LPF}

with cat-off frequency of

1100 \mathrm{~Hz}

, then the output of the filter contains.

h(t)

be the impulse response of a linear time invariant system. Then the response of the system for any input

u(t)

\text{i(t)}

10 \; \Omega

resistor in series with an inductance, is given by

i(t)=3+4 \sin \left(100 t+45^{\circ}\right)+4 \sin \left(300 t+60^{\circ}\right)

\text{RMS}

value of the current and the power dissipated in the circuit are :

The value of the resistance,

R

, connected across the terminals,

A

B

, which will absorb the maximum power, is

\text{RMS}

value of a rectangular wave of period

T

, having a value of

+V

for a duration,

T_1(<T)

-V

for the duration,

T-T_1=T_2

2 \; \mathrm{H}

inductance coils are connected in series and are also magnetically coupled to each other the coefficient of coupling being

0.1

. The total inductance of the combination can be

\text{DC}

voltage source connected to a series

\mathrm{R}-\mathrm{C}

circuit. When the steady-state reaches, the ratio of the energy stored in the capacitor to the total energy supplied by the voltage source, is equal to

\text{DC}

voltage source is connected across a series

\text{R-L-C}

circuit. Under steady-state conditions, the applied

\text{DC}

voltage drops entirely across the

Increased pulse-width in the flat-top sampling, leads to

A ramp voltage,

v(t)=100

volts, is applied to an

R C

differentiating circuit with

R=5 \; \mathrm{k} \Omega

C=4

\mu \mathrm{F}

. The maximum output voltage is

\text{LCR}

circuit consisting of

R=10 \; \Omega

\left|X_{L}\right|=20 \; \Omega

\left|X_{C}\right|=20 \; \Omega

, is connected across an

a . c

200 \text{V rms}

\text{rms}

voltage across the capacitor is

The Fourice Series of a odd periọdic function, contains only

The Laplace transform of a unit ramp function starting at

t=a

In the figure is

\mathrm{A}^{1} \mathrm{~A}^{2}

\mathrm{A}^{3}

are ideal ammeters. If

\mathrm{A}^{1}

5 \mathrm{A}, \mathrm{~A}^{2}

12 \mathrm{A}

\mathrm{A}^{3}

The two electrical sub network

N^{1}

N^{2}

are connected through three resistors as shown in the figure. The voltage across

5 \; \mathrm{ohm}

1 \; \mathrm{ohm}

resistor are given to be

10 \mathrm{~V}

5 \mathrm{~V}

, respectively. Then voltage across

15 \; \mathrm{ohm}

A network contains linear resistors and ideal voltage sources. If values of all the resistors are doubled, then the voltage across each resistor is

G(f)

represents the Fourier transform of a signal

g

(t) which is real and odd symmetric in time, then

Which of the following signals is/are periodic?

A linear discrete-time system has the characteristic equation,

z^{3}-0.81 z=0

Of the four networks,

\mathrm{N}_{1}, \mathrm{~N}_{2}, \mathrm{~N}_{3}

\mathrm{N}_{4}

of the given figure, the networks having identical driving point functions are