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Magnitude Response of STC Network for High-Pass Filter Formula

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The Magnitude Response of High Pass Filter network for high-pass filter gives the amplitude of the output voltage. Check FAQs

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

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

Magnitude Response of STC Network for High-Pass Filter Example

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

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

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

0.4903 = \frac{mod \underset{̲}{u} s (0.49)}{\sqrt{1 - {(\frac{3.32}{90})}^{2}}}

0.4903 = \frac{mod \underset{̲}{u} s (0.49)}{\sqrt{1 - {(\frac{3.32Hz}{90Hz})}^{2}}}

0.4903 = \frac{mod \underset{̲}{u} s (0.49)}{\sqrt{1 - {(\frac{3.32}{90})}^{2}}}

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Magnitude Response of STC Network for High-Pass Filter Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

M hp = 0.490333734225576

LAST Step Rounding Answer

∴

M hp = 0.4903

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

Variables

Functions

Magnitude Response of High Pass Filter

The Magnitude Response of High Pass Filter network for high-pass filter gives the amplitude of the output voltage.

Symbol: M_hp

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Magnitude Response of High 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

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

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

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 Phase Response Angle of STC Network for High-Pass Filter

∠T jω = \arctan (\frac{f hp}{f t})

Go Magnitude Response of STC Network for Low-Pass Filter

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

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

Magnitude Response of STC Network for High-Pass Filter evaluator uses Magnitude Response of High Pass Filter = (modulus(DC Gain))/(sqrt(1-(Pole Frequency High Pass/Total Pole Frequency)^2)) to evaluate the Magnitude Response of High Pass Filter, Magnitude Response of STC Network for High-Pass Filter exhibits attenuation at lower frequencies while allowing higher frequencies to pass, characterized by a gradual increase in gain beyond the cutoff frequency. Magnitude Response of High Pass Filter is denoted by M_hp symbol.

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

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

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

The formula of Magnitude Response of STC Network for High-Pass Filter is expressed as Magnitude Response of High Pass Filter = (modulus(DC Gain))/(sqrt(1-(Pole Frequency High Pass/Total Pole Frequency)^2)). Here is an example- 0.490334 = (modulus(0.49))/(sqrt(1-(3.32/90)^2)).

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

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

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Magnitude Response of STC Network for High-Pass Filter Formula

Magnitude Response of STC Network for High-Pass Filter Example

Magnitude Response of STC Network for High-Pass Filter Solution

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

Other formulas in STC Filter category

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

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

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