Magnitude Response of STC Network for Low-Pass Filter Calculator

✖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.ⓘ DC Gain [K]			+10% -10%
✖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.ⓘ Total Pole Frequency [f_t]			+10% -10%
✖Pole Frequency High Pass is the point at which the signal has been attenuated by 3dB (in a bandpass filter).ⓘ Pole Frequency High Pass [f_hp]			+10% -10%

✖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.ⓘ Magnitude Response of STC Network for Low-Pass Filter [M_Lp]

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Magnitude Response of STC Network for Low-Pass Filter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Magnitude Response of Low-Pass Filter = (modulus(DC Gain))/(sqrt(1+(Total Pole Frequency/Pole Frequency High Pass)^2))
M_Lp = (modulus(K))/(sqrt(1+(f_t/f_hp)^2))
This formula uses 2 Functions, 4 Variables

Functions Used

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., sqrt(Number)
modulus - Modulus of a number is the remainder when that number is divided by another number., modulus

Variables Used

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

STEP 1: Convert Input(s) to Base Unit

DC Gain: 0.49 --> No Conversion Required
Total Pole Frequency: 90 Hertz --> 90 Hertz No Conversion Required
Pole Frequency High Pass: 3.32 Hertz --> 3.32 Hertz No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_Lp = (modulus(K))/(sqrt(1+(f_t/f_hp)^2)) --> (modulus(0.49))/(sqrt(1+(90/3.32)^2))

Evaluating ... ...

M_Lp = 0.018063269574378

STEP 3: Convert Result to Output's Unit

0.018063269574378 --> No Conversion Required

FINAL ANSWER

0.018063269574378 ≈ 0.018063 <-- Magnitude Response of Low-Pass Filter

(Calculation completed in 00.008 seconds)

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Created by Akshada Kulkarni

National Institute of Information Technology (NIIT), Neemrana

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< STC Filter Calculators

Magnitude Response of STC Network for High-Pass Filter

LaTeX Go Magnitude Response of High Pass Filter = (modulus(DC Gain))/(sqrt(1-(Pole Frequency High Pass/Total Pole Frequency)^2))

Magnitude Response of STC Network for Low-Pass Filter

LaTeX Go Magnitude Response of Low-Pass Filter = (modulus(DC Gain))/(sqrt(1+(Total Pole Frequency/Pole Frequency High Pass)^2))

Phase Response Angle of STC Network for High-Pass Filter

LaTeX Go Phase Angle of STC = arctan(Pole Frequency High Pass/Total Pole Frequency)

Time Constant of STC Network

LaTeX Go Time Constant = Load Inductance/Load Resistance

Magnitude Response of STC Network for Low-Pass Filter Formula

LaTeX Go

Magnitude Response of Low-Pass Filter = (modulus(DC Gain))/(sqrt(1+(Total Pole Frequency/Pole Frequency High Pass)^2))
M_Lp = (modulus(K))/(sqrt(1+(f_t/f_hp)^2))

Whar are the applications of magnitude response?

Magnitude response analysis helps design filters for audio systems, telecommunications, and signal processing. It ensures efficient signal transmission by understanding how a system amplifies or attenuates different frequencies, crucial for quality control in various electronic applications.

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

Magnitude Response of STC Network for Low-Pass Filter calculator uses Magnitude Response of Low-Pass Filter = (modulus(DC Gain))/(sqrt(1+(Total Pole Frequency/Pole Frequency High Pass)^2)) to calculate 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 calculate Magnitude Response of STC Network for Low-Pass Filter using this online calculator? To use this online calculator 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. Here is how the Magnitude Response of STC Network for Low-Pass Filter calculation can be explained with given input values -> 0.018063 = (modulus(0.49))/(sqrt(1+(90/3.32)^2)).

FAQ

What is Magnitude Response of STC Network for 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 and is represented as M_Lp = (modulus(K))/(sqrt(1+(f_t/f_hp)^2)) or Magnitude Response of Low-Pass Filter = (modulus(DC Gain))/(sqrt(1+(Total Pole Frequency/Pole Frequency High Pass)^2)). 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, 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 & Pole Frequency High Pass is the point at which the signal has been attenuated by 3dB (in a bandpass filter).

How to calculate Magnitude Response of STC Network for 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 is calculated using Magnitude Response of Low-Pass Filter = (modulus(DC Gain))/(sqrt(1+(Total Pole Frequency/Pole Frequency High Pass)^2)). To calculate Magnitude Response of STC Network for Low-Pass Filter, you need DC Gain (K), Total Pole Frequency (f_t) & Pole Frequency High Pass (f_hp). With our tool, you need to enter the respective value for DC Gain, Total Pole Frequency & Pole Frequency High Pass and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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