Phase Angle of Low Pass RC Filter Calculator

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✖Frequency is the rate at which an event occurs or is repeated over a period of time.ⓘ Frequency [f]			+10% -10%
✖Resistance is the opposition to current flow in an electrical circuit.ⓘ Resistance [R]			+10% -10%
✖Capacitance is the ability of a material object or device to store electric charge.ⓘ Capacitance [C]			+10% -10%

✖Phase Angle is the angular displacement of a sinusoidal waveform from a reference point or time.ⓘ Phase Angle of Low Pass RC Filter [θ]

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Formula

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Phase Angle of Low Pass RC Filter

Formula

`"θ" = 2*arctan(2*pi*"f"*"R"*"C")`

Example

`"180°"=2*arctan(2*pi*"60Hz"*"149.9Ω"*"80F")`

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Phase Angle of Low Pass RC Filter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Phase Angle = 2*arctan(2*pi*Frequency*Resistance*Capacitance)
θ = 2*arctan(2*pi*f*R*C)
This formula uses 1 Constants, 3 Functions, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

tan - Trigonometric tangent function, tan(Angle)
ctan - Trigonometric cotangent function, ctan(Angle)
arctan - Inverse trigonometric tangent function, arctan(Number)

Variables Used

Phase Angle - (Measured in Radian) - Phase Angle is the angular displacement of a sinusoidal waveform from a reference point or time.
Frequency - (Measured in Hertz) - Frequency is the rate at which an event occurs or is repeated over a period of time.
Resistance - (Measured in Ohm) - Resistance is the opposition to current flow in an electrical circuit.
Capacitance - (Measured in Farad) - Capacitance is the ability of a material object or device to store electric charge.

STEP 1: Convert Input(s) to Base Unit

Frequency: 60 Hertz --> 60 Hertz No Conversion Required
Resistance: 149.9 Ohm --> 149.9 Ohm No Conversion Required
Capacitance: 80 Farad --> 80 Farad No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

θ = 2*arctan(2*pi*f*R*C) --> 2*arctan(2*pi*60*149.9*80)

Evaluating ... ...

θ = 3.1415922111978

STEP 3: Convert Result to Output's Unit

3.1415922111978 Radian -->179.99997465284 Degree (Check conversion here)

FINAL ANSWER

179.99997465284 ≈ 180 Degree <-- Phase Angle

(Calculation completed in 00.020 seconds)

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Credits

Created by Suma Madhuri

VIT University (VIT), Chennai

Suma Madhuri has created this Calculator and 50+ more calculators!

Verified by Parminder Singh

Chandigarh University (CU), Punjab

Parminder Singh has verified this Calculator and 500+ more calculators!

< 15 Power Filters Calculators

Cut-off Frequency in Bandpass Filter for Parallel RLC Circuit

Go Cutoff Frequency = (1/(2*Resistance*Capacitance))+(sqrt((1/(2*Resistance*Capacitance))^2+1/(Inductance*Capacitance)))

Corner Frequency in Bandpass Filter for Series RLC Circuit

Go Corner Frequency = (Resistance/(2*Inductance))+(sqrt((Resistance/(2*Inductance))^2+1/(Inductance*Capacitance)))

Phase Angle of Low Pass RC Filter

Go Phase Angle = 2*arctan(2*pi*Frequency*Resistance*Capacitance)

Keying Parameter of Parallel RLC Bandpass Filter

Go Keying Parameter = ((Inductance+Leakage Inductance)*Cutoff Frequency)/(2*DC Voltage)

Resonant Frequency of Passive Filter

Go Resonant Frequency = 1/(2*pi*sqrt(Inductance*Capacitance))

Tuned Factor of Hybrid Filter

Go Tuned Factor = (Angular Frequency-Angular Resonant Frequency)/Angular Resonant Frequency

Voltage across Passive Filter Capacitor

Go Voltage across the Passive Filter Capacitor = Filter Transfer Function*Fundamental Frequency Component

Angular Resonant Frequency of Passive Filter

Go Angular Resonant Frequency = (Resistance*Quality Factor)/Inductance

Quality Factor of Passive Filter

Go Quality Factor = (Angular Resonant Frequency*Inductance)/Resistance

Resistance of Passive Filter

Go Resistance = (Angular Resonant Frequency*Inductance)/Quality Factor

Slope of Triangular Waveform of Active Power Filter

Go Triangular Waveform Slope = 4*Triangular Waveform Amplitude*Triangular Waveform Frequency

Gain of Active Power Filter

Go Active Power Filter Gain = Voltage Harmonic Waveform/Harmonic Current Component

Gain of Converter of Active Power Filter

Go Gain of Converter = DC Voltage/(2*Triangular Waveform Amplitude)

Amplitude of Active Power Filter

Go Triangular Waveform Amplitude = DC Voltage/(2*Gain of Converter)

Keying Index of Parallel RLC Bandpass Filter

Go Keying Index = Cutoff Frequency*Keying Parameter

Phase Angle of Low Pass RC Filter Formula

Phase Angle = 2*arctan(2*pi*Frequency*Resistance*Capacitance)
θ = 2*arctan(2*pi*f*R*C)

What is the purpose of a low-pass RC filter?

A low-pass RC filter is a type of electronic filter that allows low-frequency signals to pass through while blocking high-frequency signals. It is commonly used in various applications, including audio processing, signal conditioning, and power electronics.

The purpose of a low-pass RC filter can be summarized as follows:

Eliminating Noise and Interference: Low-pass RC filters are effective in removing unwanted high-frequency noise and interference from a signal. This is particularly useful in audio applications where high-frequency components can cause distortions and unpleasant sounds.

How to Calculate Phase Angle of Low Pass RC Filter?

Phase Angle of Low Pass RC Filter calculator uses Phase Angle = 2*arctan(2*pi*Frequency*Resistance*Capacitance) to calculate 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 calculate Phase Angle of Low Pass RC Filter using this online calculator? To use this online calculator for Phase Angle of Low Pass RC Filter, enter Frequency (f), Resistance (R) & Capacitance (C) and hit the calculate button. Here is how the Phase Angle of Low Pass RC Filter calculation can be explained with given input values -> 10313.24 = 2*arctan(2*pi*60*149.9*80).

FAQ

What is Phase Angle of Low Pass RC Filter?

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 and is represented as θ = 2*arctan(2*pi*f*R*C) or Phase Angle = 2*arctan(2*pi*Frequency*Resistance*Capacitance). Frequency is the rate at which an event occurs or is repeated over a period of time, Resistance is the opposition to current flow in an electrical circuit & Capacitance is the ability of a material object or device to store electric charge.

How to calculate Phase Angle of Low Pass RC Filter?

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 is calculated using Phase Angle = 2*arctan(2*pi*Frequency*Resistance*Capacitance). To calculate Phase Angle of Low Pass RC Filter, you need Frequency (f), Resistance (R) & Capacitance (C). With our tool, you need to enter the respective value for Frequency, Resistance & Capacitance 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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