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GATE Exam » GATE Study Materials » Chemical Engineering » Frequency Response
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Frequency Response

What is the frequency? Differentiate correlation between time response and frequency response? What is the frequency response of the amplifier? What is the frequency response of the low pass filter?

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Frequency is a fundamental concept in chemical engineering. It is one of the most common units in chemistry, and it has a vital role in many processes.

The use of frequency in Chemical Engineering is discussed in the introduction. We will discuss the different frequencies used in Chemical Engineering and their applications. 

Frequency is defined as how often something happens or how some process usually occurs. It is a handy tool for engineers to understand how things work and to predict what will happen next.

Frequency is an essential concept in Chemical Engineering.

ƒ=l/T

Frequency is a fundamental concept in Chemical Engineering. It relates to the number of times something happens and how often it happens. The frequency of an event is the number of times it occurs over some time. For example, if an event happens twice in one day, it has two occurrences (2 x 2 = 4). If an event happens three times in one day, it has three circumstances (3 x 3 = 6). In this case, the frequency is 3.

The frequency of an event is one of the essential variables in a chemical reaction. It can be measured by the number of times it happens or how often it occurs in a specific period.

A good example is a reaction between two substances with an equilibrium concentration of 1 mole per litre. If the attention changes from 1 to 2 miles per litre, the response will change from equilibria to non-equilibria concerning both substances. The concentration will oscillate between these states, and if you know what is going on at any given time, you can predict which state will occur next because it follows a simple law.

It is also possible to use frequency as a function of time: if you know when something happened, you can calculate how often it happened before.

Correlation between time response and frequency response:

The time response measures how fast an element reacts to a stimulus. It is used to determine the speed of chemical reactions, such as reaction rate measurements.

The frequency response is the number of times an element will react to a stimulus. It is used to determine the speed of chemical reactions, such as reaction rate measurements. The frequency response is frequently employed to measure a substance’s temperature sensitivity or ability to be impacted by temperature fluctuations caused by environmental factors such as humidity and air pressure variations.

The time response of chemical engineers is usually prolonged. Time means that they can be slow in responding to customers’ needs. Time is because they are not used to responding quickly and will most likely take too long to respond.

The time and frequency responses are related because the time response is influenced by several factors – the speed of communication between the customer and the company, customer and company, between company and customer, etc.

H(s)s=jω=H(jω)

The correlation between time and frequency is a fundamental requirement for any chemical engineering project. The system’s response to a stimulus (time) is an important parameter to calculate the chemical reaction rate.

Frequency response describes how quickly different frequencies change in response to an environmental stimulus (temperature, pressure, etc.), while time response describes how quickly those responses change over time.

Frequency response of amplifier:

The amplifier is an essential part of a loudspeaker system. It converts electrical signals into audible sound waves. The amplifier’s frequency response can be affected by several factors like temperature, humidity, and ageing.

The frequency response of an amplifier depends on the input signal, the output power and the load resistance. The response of an amplifier is a linear function of its output power.

The frequency response of an amplifier is given by:

s=iω

Where R is the resistance in ohms and V is the output voltage in volts.

This equation gives a linear relationship between the input signal and amplifier output voltage as shown below: where “ρ” is the resistance in ohm, “V” is the voltage (in volts), is ohms per volt, and “R” is resistance in ohm. The formula for calculating this frequency response is found online.

We can control our environment by the use of sound and light. The sound is emitted by a loudspeaker, while the light is emitted from a bulb or LED.

Frequency response of low pass filter:

A linear model can approximate the relationship between cutoff frequency and cutoff bandwidth. However, this approximation does not hold in all situations. For example, in cases where there are many different frequencies present in an audio signal, or if there are high amounts of noise present in an audio signal.

A low pass filter is a type of filter where the cutoff frequency is set below the Nyquist frequency. A low pass filter can remove high frequencies from a signal or cancel unwanted calls.

The introduction provides an overview of the topic and introduces the main concepts.

Conclusion:

The frequency of a wave is the number of times it passes through a given point in time. It is expressed as the number of waves per second. The frequency response in Chemical Engineering is usually swift, but it can also be slow at times. Frequency means that the chemical engineers will respond when asked for a specific task, but they may take longer to reach a general idea or concept. A low pass filter is a filter that cuts off the higher frequencies from the signal. The frequency response of the low pass filter is determined by its cutoff frequency, which is usually determined by the design of the filter.

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Ans: An object remains stable when “an angular displacement moves the margin of action of an upward buoyant force acts through the center of buoyancy. 

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