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GATE 2019: Revision Test 1 (App update required to attempt this test)
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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.
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:
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
0 for t 0
Question 9
The Laplace transform of the signal
is
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:
The RMS value of the current and the power dissipated in the circuit are:
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ESE & GATE EEGeneralJun 7ESE & GATE EE