Time Left - 40:00 mins

GATE 2019: Revision Test 1 (App update required to attempt this test)

Attempt now to get your rank among 472 students!

Question 1

Given a system whose input-output relationship is given by a linear equation y(t) = ax(t)+b, where x(t) and y(t) are the input and output of the system respectively and a and b are constants. The given system is

Question 2

Find the Fourier transform of the function f(t) where f(t) = 4-t


Question 3

Considering zero initial conditions, find the value of i(t) in the given network.

Question 4

An alternating current circuit contains an inductor of 25 mH, a capacitor of 100μF and a resistor of 20Ω connected in series and an AC source of 10V, 20π Hz. Find the energy dissipated (in Watt) in the circuit in 100 s. Use π2 = 10.

Question 5

The T-parameters of two two-port networks and are obtained as:


When the networks are connected in a cascade connection, the T-parameters of the cascade connected network are obtained as,

Determine the value of x and y.

Question 6

The Y-parameters of two two-port networks and are obtained as:


A parallel two port network is formed by connecting ‘m’ number of networks and ‘n’ number of networks all in parallel to each other. Determine the value of m and n, if the overall Y-parameters of the parallel network is:

Question 7

Determine the Fourier transform of the given function:

Question 8

Find the energy signal of x (t) =
0 for t 0

Question 9

The Laplace transform of the signal
is

Question 10

Which of the following is the z-transform for the input signal

Question 11

Find the value of x(t) (in units) at t →∞. If a system is represented by the relation
X(s) =  where R(s) is the Laplace form of unit step function?

Question 12

Which of the following is the laplace transform of cos(at)sinh(at)?

Question 13

2 identical coils when connected in series across 200V, 50Hz source draws a current of 10A. When the terminals of the coils are reversed, the current drawn is 8A. The coefficient of coupling between the coils is:

Question 14

In the portion of a circuit shown, if the heat generated in 5 S resistance is 10 calories per second then heat generated by the 4 resistance, the calories per second is…………….

Question 15

The current, i(t) through a 10Ω resistor in series with an inductance is given i(t)= 3 + 4sin(100t+450) + 4 sin(300t+600)
The RMS value of the current and the power dissipated in the circuit are:
  • 472 attempts
  • 5 upvotes
  • 8 comments
Jun 7ESE & GATE EE