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Phase Angle of Low Pass RC Filter Calculator

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Power Filters Rectifier Circuits

✖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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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 - 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 - (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 00.004 seconds)

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< Power Filters Calculators

Cut-off Frequency in Bandpass Filter for Parallel RLC Circuit

LaTeX 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

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

Keying Parameter of Parallel RLC Bandpass Filter

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

Keying Index of Parallel RLC Bandpass Filter

LaTeX Go Keying Index = Cutoff Frequency*Keying Parameter

Phase Angle of Low Pass RC Filter Formula

LaTeX Go

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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