Magnitude Response of STC Network for High-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%
✖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%
✖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%

✖The Magnitude Response of High Pass Filter network for high-pass filter gives the amplitude of the output voltage.ⓘ Magnitude Response of STC Network for High-Pass Filter [M_hp]

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Magnitude Response of STC Network for High-Pass Filter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Magnitude Response of High Pass Filter = (modulus(DC Gain))/(sqrt(1-(Pole Frequency High Pass/Total Pole Frequency)^2))
M_hp = (modulus(K))/(sqrt(1-(f_hp/f_t)^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 High Pass Filter - The Magnitude Response of High Pass Filter network for high-pass filter gives the amplitude of the output voltage.
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.
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).
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.

STEP 1: Convert Input(s) to Base Unit

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

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

Evaluating ... ...

M_hp = 0.490333734225576

STEP 3: Convert Result to Output's Unit

0.490333734225576 --> No Conversion Required

FINAL ANSWER

0.490333734225576 ≈ 0.490334 <-- Magnitude Response of High Pass Filter

(Calculation completed in 00.004 seconds)

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Created by Nikita Suryawanshi

Vellore Institute of Technology (VIT), Vellore

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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 High-Pass Filter Formula

LaTeX Go

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

What is magnitude response?

The relationship between output Y and input X as a function of signal frequency is known as frequency response. We can plot the phase difference (output relative to the input) as a function of frequency. This is known as the phase response.

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

Magnitude Response of STC Network for High-Pass Filter calculator uses Magnitude Response of High Pass Filter = (modulus(DC Gain))/(sqrt(1-(Pole Frequency High Pass/Total Pole Frequency)^2)) to calculate 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 calculate Magnitude Response of STC Network for High-Pass Filter using this online calculator? To use this online calculator 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. Here is how the Magnitude Response of STC Network for High-Pass Filter calculation can be explained with given input values -> 0.490334 = (modulus(0.49))/(sqrt(1-(3.32/90)^2)).

FAQ

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

How to calculate Magnitude Response of STC Network for 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 is calculated using Magnitude Response of High Pass Filter = (modulus(DC Gain))/(sqrt(1-(Pole Frequency High Pass/Total Pole Frequency)^2)). To calculate Magnitude Response of STC Network for High-Pass Filter, you need DC Gain (K), Pole Frequency High Pass (f_hp) & Total Pole Frequency (f_t). With our tool, you need to enter the respective value for DC Gain, Pole Frequency High Pass & Total Pole Frequency 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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