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

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Phase Angle of STC gives the angle calculated for given ω. Check FAQs

∠T jω = \arctan (\frac{f hp}{f t})

∠T_jω - Phase Angle of STC?f_hp - Pole Frequency High Pass?f_t - Total Pole Frequency?

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

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

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

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

2.1126 = \arctan (\frac{3.32}{90})

2.1126° = \arctan (\frac{3.32Hz}{90Hz})

2.1126 = \arctan (\frac{3.32}{90})

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

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

FIRST Step Consider the formula

∠T jω = \arctan (\frac{f hp}{f t})

Next Step Substitute values of Variables

∴

∠T jω = \arctan (\frac{3.32Hz}{90Hz})

Next Step Prepare to Evaluate

∴

∠T jω = \arctan (\frac{3.32}{90})

Next Step Evaluate

∴

∠T jω = 0.0368721698588669rad

Next Step Convert to Output's Unit

∴

∠T jω = 2.11261971440295°

LAST Step Rounding Answer

∴

∠T jω = 2.1126°

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

Variables

Functions

Phase Angle of STC

Phase Angle of STC gives the angle calculated for given ω.

Symbol: ∠T_jω

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Phase Angle of STC

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

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.

Syntax: 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.

Syntax: 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).

Syntax: arctan(Number)

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

Phase Response Angle of STC Network for High-Pass Filter evaluator uses Phase Angle of STC = arctan(Pole Frequency High Pass/Total Pole Frequency) to evaluate 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 evaluate Phase Response Angle of STC Network for High-Pass Filter using this online evaluator? To use this online evaluator 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.

FAQs on Phase Response Angle of STC Network for High-Pass Filter

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

The formula of Phase Response Angle of STC Network for High-Pass Filter is expressed as Phase Angle of STC = arctan(Pole Frequency High Pass/Total Pole Frequency). Here is an example- 121.0442 = arctan(3.32/90).

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

With Pole Frequency High Pass (f_hp) & Total Pole Frequency (f_t) we can find Phase Response Angle of STC Network for High-Pass Filter using the formula - Phase Angle of STC = arctan(Pole Frequency High Pass/Total Pole Frequency). This formula also uses Tangent (tan)Cotangent (ctan), Inverse Tangent (arctan) function(s).

Can the Phase Response Angle of STC Network for High-Pass Filter be negative?

Yes, the Phase Response Angle of STC Network for High-Pass Filter, measured in Angle can be negative.

Which unit is used to measure Phase Response Angle of STC Network for High-Pass Filter?

Phase Response Angle of STC Network for High-Pass Filter is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Phase Response Angle of STC Network for High-Pass Filter can be measured.

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