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Magnitude Response of STC Network for Low-Pass Filter Formula

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Magnitude Response of Low-Pass Filter refers to its ability to pass low-frequency signals while attenuating higher frequencies, showcasing high transmission for lower frequencies. Check FAQs

M Lp = \frac{mod \underset{̲}{u} s (K)}{\sqrt{1 + {(\frac{f t}{f hp})}^{2}}}

M_Lp - Magnitude Response of Low-Pass Filter?K - DC Gain?f_t - Total Pole Frequency?f_hp - Pole Frequency High Pass?

Magnitude Response of STC Network for Low-Pass Filter Example

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Here is how the Magnitude Response of STC Network for Low-Pass Filter equation looks like with Values.

Here is how the Magnitude Response of STC Network for Low-Pass Filter equation looks like with Units.

Here is how the Magnitude Response of STC Network for Low-Pass Filter equation looks like.

0.0181 = \frac{mod \underset{̲}{u} s (0.49)}{\sqrt{1 + {(\frac{90}{3.32})}^{2}}}

0.0181 = \frac{mod \underset{̲}{u} s (0.49)}{\sqrt{1 + {(\frac{90Hz}{3.32Hz})}^{2}}}

0.0181 = \frac{mod \underset{̲}{u} s (0.49)}{\sqrt{1 + {(\frac{90}{3.32})}^{2}}}

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Magnitude Response of STC Network for Low-Pass Filter Solution

Follow our step by step solution on how to calculate Magnitude Response of STC Network for Low-Pass Filter?

FIRST Step Consider the formula

M Lp = \frac{mod \underset{̲}{u} s (K)}{\sqrt{1 + {(\frac{f t}{f hp})}^{2}}}

Next Step Substitute values of Variables

∴

M Lp = \frac{mod \underset{̲}{u} s (0.49)}{\sqrt{1 + {(\frac{90Hz}{3.32Hz})}^{2}}}

Next Step Prepare to Evaluate

∴

M Lp = \frac{mod \underset{̲}{u} s (0.49)}{\sqrt{1 + {(\frac{90}{3.32})}^{2}}}

Next Step Evaluate

∴

M Lp = 0.018063269574378

LAST Step Rounding Answer

∴

M Lp = 0.0181

Magnitude Response of STC Network for Low-Pass Filter Formula Elements

Variables

Functions

Magnitude Response of Low-Pass Filter

Magnitude Response of Low-Pass Filter refers to its ability to pass low-frequency signals while attenuating higher frequencies, showcasing high transmission for lower frequencies.

Symbol: M_Lp

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Magnitude Response of Low-Pass Filter

DC Gain

DC Gain refers to the ratio of output to input in a system or device, often used in the context of electronics or signal processing.

Symbol: K

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find DC Gain

Total Pole Frequency

Total pole frequency refers to the maximum frequency at which a system can stably operate, determined by the combined effect of all poles in the system's transfer function.

Symbol: f_t

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Total Pole Frequency

Pole Frequency High Pass

Pole Frequency High Pass is the point at which the signal has been attenuated by 3dB (in a bandpass filter).

Symbol: f_hp

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Pole Frequency High Pass

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

modulus

Modulus of a number is the remainder when that number is divided by another number.

Syntax: modulus

Other formulas in STC Filter category

Go Time Constant of STC Network

τ = \frac{L H}{R L}

Go Magnitude Response of STC Network for High-Pass Filter

M hp = \frac{mod \underset{̲}{u} s (K)}{\sqrt{1 - {(\frac{f hp}{f t})}^{2}}}

Go Phase Response Angle of STC Network for High-Pass Filter

∠T jω = \arctan (\frac{f hp}{f t})

How to Evaluate Magnitude Response of STC Network for Low-Pass Filter?

Magnitude Response of STC Network for Low-Pass Filter evaluator uses Magnitude Response of Low-Pass Filter = (modulus(DC Gain))/(sqrt(1+(Total Pole Frequency/Pole Frequency High Pass)^2)) to evaluate the Magnitude Response of Low-Pass Filter, Magnitude Response of STC Network for Low-Pass Filter refers to attenuation characteristics, showcasing the decrease in signal amplitude with increasing frequencies, demonstrating its effectiveness in passing low frequencies while attenuating higher ones. Magnitude Response of Low-Pass Filter is denoted by M_Lp symbol.

How to evaluate Magnitude Response of STC Network for Low-Pass Filter using this online evaluator? To use this online evaluator for Magnitude Response of STC Network for Low-Pass Filter, enter DC Gain (K), Total Pole Frequency (f_t) & Pole Frequency High Pass (f_hp) and hit the calculate button.

FAQs on Magnitude Response of STC Network for Low-Pass Filter

What is the formula to find Magnitude Response of STC Network for Low-Pass Filter?

The formula of Magnitude Response of STC Network for Low-Pass Filter is expressed as Magnitude Response of Low-Pass Filter = (modulus(DC Gain))/(sqrt(1+(Total Pole Frequency/Pole Frequency High Pass)^2)). Here is an example- 0.018063 = (modulus(0.49))/(sqrt(1+(90/3.32)^2)).

How to calculate Magnitude Response of STC Network for Low-Pass Filter?

With DC Gain (K), Total Pole Frequency (f_t) & Pole Frequency High Pass (f_hp) we can find Magnitude Response of STC Network for Low-Pass Filter using the formula - Magnitude Response of Low-Pass Filter = (modulus(DC Gain))/(sqrt(1+(Total Pole Frequency/Pole Frequency High Pass)^2)). This formula also uses Square Root (sqrt), Modulus (modulus) function(s).

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Magnitude Response of STC Network for Low-Pass Filter Formula

Magnitude Response of STC Network for Low-Pass Filter Example

Magnitude Response of STC Network for Low-Pass Filter Solution

Magnitude Response of STC Network for Low-Pass Filter Formula Elements

Other formulas in STC Filter category

How to Evaluate Magnitude Response of STC Network for Low-Pass Filter?

FAQs on Magnitude Response of STC Network for Low-Pass Filter

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