GATE 2019: Control System Quiz 1

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Question 1

The damping ratio of a series RLC circuit is

• A
• B
• C
• D

Question 2

In the system shown below, x(t) = (sint) u (t). In steady-state, the response y(t) will be

• A
• B
• C
• D

Question 3

The frequency response of a linear, time invariant system is given by . The step response of the system is

• A
• B
• C
• D

Question 4

A system with transfer function is excited by sin(ωt). The steady-state output of the system is zero at

• Aω = 1 rad/s
• Bω = 2 rad/s
• Cω = 3 rad/s
• Dω = 4 rad/s

Question 5

For the following system,

When the transfer function

• A
• B
• C
• D

Question 6

Which one of the following options correctly describes the locations of the roots of the equation s ⁴+s ²+1 =0 on the complex plane?

• AFour left half plane (LHP) roots
• BOne right half plane (RHP) root, one LHP root and two roots on the imaginary axis
• CTwo RHP roots and two LHP roots
• DAll four roots are on the imaginary axis

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