If the bandwidth of a control system is increased, the noise in t

If the bandwidth of a control system is increased, the noise in t
| If the bandwidth of a control system is increased, the noise in the output of the system due to presence of sensor noise will

A. increase

B. decrease

C. not change

D. be zero

Please scroll down to see the correct answer and solution guide.

Right Answer is: A

SOLUTION

Concept:

Noise power is given as:

Pn = KTB

Where,

K = Boltz man's constant

T = temperature

B = Bandwidth over which noise is measured

Explanation:

When the bandwidth is increased, then the system becomes fast as it reduces rise time, increases stability as well as reduces oscillations in the response but according to the above equation, the noise also increases.

Important Points:

Bandwidth (BW) is defined as the frequency at which the magnitude of the closed-loop system is equal to 0.707.

The bandwidth indicates the frequency range for which satisfactory operation occurs.

It roughly measures the gain crossover frequency.