Question

Damping in a control system is a function of

a) gain

b) 1 /√gain

c) √gain

d) 1/gain​
​

Answer 1

Gain

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Answer 2

Answer:

Damping in a control system is a function of 1 /√gain

Explanation:

• The damping ratio is described because of the variety of oscillations in a device that could decay or restrain after an interruption and its miles a dimensionless measurement.

• Most of the structure's paintings are in oscillatory mode while they may be interrupted or disturbed from their preliminary role.
• For example, the manipulation of suspensions of mass from a spring. If the mass is pulled and released, then it bounces up and down. The device attempts to go back to its preliminary static role after each bounce.
• The damping ratio offers the extent of damping withinside the manipulated device associated with important damping.
• The damped harmonic oscillator with mass m, spring constant ‘k’, and damping coefficient C.
• The ratio of coefficients of the same structures offers the damping ratio, that's a dimensionless measurement. It expresses the extent of damping of the device.

The general relation between ξ and gain K is

Damping ratio ∝  $1/\sqrt{gain of the system}$

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