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GATE EC : Networks Champion Quiz 4

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Question 1

If the Laplace transform of a signal y(t) is , then its final value is:

Question 2

A system is described by the following differential equation, where u(t) is the input to the system and y(t) is the output of the system.
D/dt y(t) + 5y(t) = u(t)
When y(0) = 1 and u(t) is a unit step function, y(t) is

Question 3

The RC circuit shown in the figure is

Question 4

In a series RLC circuit R = 2k Ω, L = 1 H, and . The resonant frequency is

Question 5

The voltage (Vc) across the capacitor (in Volts) in the network shown is ______
Description: Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE EC 10-Mar\GATE-ECE-2015-Paper-2_files\image097.jpg

Question 6

Two series resonant filter are as shown in the figure. Let the 3-dB bandwidth of Filter 1 be B1 and that of 2 be B2. The value of is

Question 7

Let u(t) be the step function. Which of the following waveforms corresponds to the convolution of u(t) – u(t – 1) with u(t) – u(t – 2)?

Question 8

The equivalent capacitance across ‘ab’ will be

Question 9

For the circuit shown in the given figure, the voltage VAB is

Question 10

In the circuit shown, the Norton equivalent resistance Description: Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE EC 10-Mar\GATE-ECE-2015-Paper-2_files\image171.png across terminals a-b is ______.
Description: Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE EC 10-Mar\GATE-ECE-2015-Paper-2_files\image172.jpg
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Feb 2ESE & GATE EC