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Phase Angle of Low Pass RC Filter Formula

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Phase Angle is the angular displacement of a sinusoidal waveform from a reference point or time. Check FAQs

θ = 2 \cdot \arctan (2 \cdot π \cdot f \cdot R \cdot C)

θ - Phase Angle?f - Frequency?R - Resistance?C - Capacitance?π - Archimedes' constant?

Phase Angle of Low Pass RC Filter Example

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Here is how the Phase Angle of Low Pass RC Filter equation looks like with Values.

Here is how the Phase Angle of Low Pass RC Filter equation looks like with Units.

Here is how the Phase Angle of Low Pass RC Filter equation looks like.

180 = 2 \cdot \arctan (2 \cdot 3.1416 \cdot 60 \cdot 149.9 \cdot 80)

180° = 2 \cdot \arctan (2 \cdot 3.1416 \cdot 60Hz \cdot 149.9Ω \cdot 80F)

180 = 2 \cdot \arctan (2 \cdot 3.1416 \cdot 60 \cdot 149.9 \cdot 80)

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Phase Angle of Low Pass RC Filter Solution

Follow our step by step solution on how to calculate Phase Angle of Low Pass RC Filter?

FIRST Step Consider the formula

θ = 2 \cdot \arctan (2 \cdot π \cdot f \cdot R \cdot C)

Next Step Substitute values of Variables

∴

θ = 2 \cdot \arctan (2 \cdot π \cdot 60Hz \cdot 149.9Ω \cdot 80F)

Next Step Substitute values of Constants

∴

θ = 2 \cdot \arctan (2 \cdot 3.1416 \cdot 60Hz \cdot 149.9Ω \cdot 80F)

Next Step Prepare to Evaluate

∴

θ = 2 \cdot \arctan (2 \cdot 3.1416 \cdot 60 \cdot 149.9 \cdot 80)

Next Step Evaluate

∴

θ = 3.1415922111978rad

Next Step Convert to Output's Unit

∴

θ = 179.99997465284°

LAST Step Rounding Answer

∴

θ = 180°

Phase Angle of Low Pass RC Filter Formula Elements

Variables

Constants

Functions

Phase Angle

Phase Angle is the angular displacement of a sinusoidal waveform from a reference point or time.

Symbol: θ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Phase Angle

Frequency

Frequency is the rate at which an event occurs or is repeated over a period of time.

Symbol: f

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Frequency

Resistance

Resistance is the opposition to current flow in an electrical circuit.

Symbol: R

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Resistance

Capacitance

Capacitance is the ability of a material object or device to store electric charge.

Symbol: C

Measurement: CapacitanceUnit: F

Note: Value should be greater than 0.

Formulas to find Capacitance

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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 Power Filters category

Go Corner Frequency in Bandpass Filter for Series RLC Circuit

f c = (\frac{R}{2 \cdot L}) + (\sqrt{{(\frac{R}{2 \cdot L})}^{2} + \frac{1}{L \cdot C}})

Go Cut-off Frequency in Bandpass Filter for Parallel RLC Circuit

ω c = (\frac{1}{2 \cdot R \cdot C}) + (\sqrt{{(\frac{1}{2 \cdot R \cdot C})}^{2} + \frac{1}{L \cdot C}})

Go Keying Parameter of Parallel RLC Bandpass Filter

k p' = \frac{(L + L o) \cdot ω c}{2 \cdot V dc}

Go Keying Index of Parallel RLC Bandpass Filter

k i' = ω c \cdot k p'

How to Evaluate Phase Angle of Low Pass RC Filter?

Phase Angle of Low Pass RC Filter evaluator uses Phase Angle = 2*arctan(2*pi*Frequency*Resistance*Capacitance) to evaluate the Phase Angle, The Phase Angle of Low Pass RC Filter formula is defined as the angle between the voltage across the capacitor and the voltage across the resistor at a particular frequency. Phase Angle is denoted by θ symbol.

How to evaluate Phase Angle of Low Pass RC Filter using this online evaluator? To use this online evaluator for Phase Angle of Low Pass RC Filter, enter Frequency (f), Resistance (R) & Capacitance (C) and hit the calculate button.

FAQs on Phase Angle of Low Pass RC Filter

What is the formula to find Phase Angle of Low Pass RC Filter?

The formula of Phase Angle of Low Pass RC Filter is expressed as Phase Angle = 2*arctan(2*pi*Frequency*Resistance*Capacitance). Here is an example- 10313.24 = 2*arctan(2*pi*60*149.9*80).

How to calculate Phase Angle of Low Pass RC Filter?

With Frequency (f), Resistance (R) & Capacitance (C) we can find Phase Angle of Low Pass RC Filter using the formula - Phase Angle = 2*arctan(2*pi*Frequency*Resistance*Capacitance). This formula also uses Archimedes' constant and , Tangent (tan), Cotangent (ctan), Inverse Tangent (arctan) function(s).

Can the Phase Angle of Low Pass RC Filter be negative?

No, the Phase Angle of Low Pass RC Filter, measured in Angle cannot be negative.

Which unit is used to measure Phase Angle of Low Pass RC Filter?

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

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Phase Angle of Low Pass RC Filter Formula

Phase Angle of Low Pass RC Filter Example

Phase Angle of Low Pass RC Filter Solution

Phase Angle of Low Pass RC Filter Formula Elements

Other formulas in Power Filters category

How to Evaluate Phase Angle of Low Pass RC Filter?

FAQs on Phase Angle of Low Pass RC Filter

Variable Name