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

✖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%

✖Phase Angle of STC gives the angle calculated for given ω.ⓘ Phase Response Angle of STC Network for High-Pass Filter [∠T_jω]

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Formula

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Phase Response Angle of STC Network for High-Pass Filter

Formula

`"∠T"_{"jω"} = arctan("f"_{"hp"}/"f"_{"t"})`

Example

`"2.11262°"=arctan("3.32Hz"/"90Hz")`

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

STEP 0: Pre-Calculation Summary

Formula Used

Phase Angle of STC = arctan(Pole Frequency High Pass/Total Pole Frequency)
∠T_jω = arctan(f_hp/f_t)
This formula uses 3 Functions, 3 Variables

Functions Used

tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)
ctan - Cotangent is a trigonometric function that is defined as the ratio of the adjacent side to the opposite side in a right triangle., ctan(Angle)
arctan - Inverse trigonometric functions are usually accompanied by the prefix - arc. Mathematically, we represent arctan or the inverse tangent function as tan-1 x or arctan(x)., arctan(Number)

Variables Used

Phase Angle of STC - (Measured in Radian) - Phase Angle of STC gives the angle calculated for given ω.
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

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

∠T_jω = arctan(f_hp/f_t) --> arctan(3.32/90)

Evaluating ... ...

∠T_jω = 0.0368721698588669

STEP 3: Convert Result to Output's Unit

0.0368721698588669 Radian -->2.11261971440295 Degree (Check conversion here)

FINAL ANSWER

2.11261971440295 ≈ 2.11262 Degree <-- Phase Angle of STC

(Calculation completed in 00.004 seconds)

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Created by Nikita Suryawanshi

Vellore Institute of Technology (VIT), Vellore

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< 4 STC Filter Calculators

Magnitude Response of STC Network for High-Pass Filter

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

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

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

Time Constant of STC Network

Go Time Constant = Load Inductance/Load Resistance

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

Phase Angle of STC = arctan(Pole Frequency High Pass/Total Pole Frequency)
∠T_jω = arctan(f_hp/f_t)

What is Phase 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 Phase Response Angle of STC Network for High-Pass Filter?

Phase Response Angle of STC Network for High-Pass Filter calculator uses Phase Angle of STC = arctan(Pole Frequency High Pass/Total Pole Frequency) to calculate the Phase Angle of STC, The Phase Response angle of STC network for high-pass filter describes the shift in phase between input and output signals across different frequencies, illustrating the timing delay or advancement of the filtered signal, crucial for understanding frequency-dependent time shifts. Phase Angle of STC is denoted by ∠T_jω symbol.

How to calculate Phase Response Angle of STC Network for High-Pass Filter using this online calculator? To use this online calculator for Phase Response Angle of STC Network for High-Pass Filter, enter Pole Frequency High Pass (f_hp) & Total Pole Frequency (f_t) and hit the calculate button. Here is how the Phase Response Angle of STC Network for High-Pass Filter calculation can be explained with given input values -> 121.0442 = arctan(3.32/90).

FAQ

What is Phase Response Angle of STC Network for High-Pass Filter?

The Phase Response angle of STC network for high-pass filter describes the shift in phase between input and output signals across different frequencies, illustrating the timing delay or advancement of the filtered signal, crucial for understanding frequency-dependent time shifts and is represented as ∠T_jω = arctan(f_hp/f_t) or Phase Angle of STC = arctan(Pole Frequency High Pass/Total Pole Frequency). 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 Phase Response Angle of STC Network for High-Pass Filter?

The Phase Response angle of STC network for high-pass filter describes the shift in phase between input and output signals across different frequencies, illustrating the timing delay or advancement of the filtered signal, crucial for understanding frequency-dependent time shifts is calculated using Phase Angle of STC = arctan(Pole Frequency High Pass/Total Pole Frequency). To calculate Phase Response Angle of STC Network for High-Pass Filter, you need Pole Frequency High Pass (f_hp) & Total Pole Frequency (f_t). With our tool, you need to enter the respective value for 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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