Phase Shift for RC Circuit Calculator

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Electromagnetic Induction

Capacitor

Electrostatics

Magnetic Field due to Current

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Phase Shift

Basics of Electromagentic Induction

Energy

Impedance

✖The Angular Velocity refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time.ⓘ Angular Velocity [ω]			+10% -10%
✖Capacitance is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential.ⓘ Capacitance [C]			+10% -10%
✖Resistance is a measure of the opposition to current flow in an electrical circuit. Its S.I unit is ohm.ⓘ Resistance [R]			+10% -10%

✖A Phase Shift RC is the Phase shift for RC circuit.ⓘ Phase Shift for RC Circuit [φ_RC]

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Formula

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Phase Shift for RC Circuit

Formula

`"φ"_{"RC"} = arctan(1/("ω"*"C"*"R"))`

Example

`"0.567266°"=arctan(1/("2rad/s"*"5F"*"10.1Ω"))`

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Phase Shift for RC Circuit Solution

STEP 0: Pre-Calculation Summary

Formula Used

Phase Shift RC = arctan(1/(Angular Velocity*Capacitance*Resistance))
φ_RC = arctan(1/(ω*C*R))
This formula uses 3 Functions, 4 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 Shift RC - (Measured in Radian) - A Phase Shift RC is the Phase shift for RC circuit.
Angular Velocity - (Measured in Radian per Second) - The Angular Velocity refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time.
Capacitance - (Measured in Farad) - Capacitance is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential.
Resistance - (Measured in Ohm) - Resistance is a measure of the opposition to current flow in an electrical circuit. Its S.I unit is ohm.

STEP 1: Convert Input(s) to Base Unit

Angular Velocity: 2 Radian per Second --> 2 Radian per Second No Conversion Required
Capacitance: 5 Farad --> 5 Farad No Conversion Required
Resistance: 10.1 Ohm --> 10.1 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

φ_RC = arctan(1/(ω*C*R)) --> arctan(1/(2*5*10.1))

Evaluating ... ...

φ_RC = 0.00990066658798857

STEP 3: Convert Result to Output's Unit

0.00990066658798857 Radian -->0.567266409858041 Degree (Check conversion here)

FINAL ANSWER

0.567266409858041 ≈ 0.567266 Degree <-- Phase Shift RC

(Calculation completed in 00.020 seconds)

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Created by Anamika Mittal

Vellore Institute of Technology (VIT), Bhopal

Anamika Mittal has created this Calculator and 50+ more calculators!

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National Institute Of Technology (NIT), Hamirpur

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< 3 Phase Shift Calculators

Phase Shift for LCR Circuit

Go Phase Shift RC = (1/(Angular Velocity*Capacitance)-Angular Velocity*Impedance)/Resistance

Phase Shift for RC Circuit

Go Phase Shift RC = arctan(1/(Angular Velocity*Capacitance*Resistance))

Phase Shift for LR Circuit

Go Phase Shift RC = arctan(Angular Velocity*Impedance/Resistance)

Phase Shift for RC Circuit Formula

Phase Shift RC = arctan(1/(Angular Velocity*Capacitance*Resistance))
φ_RC = arctan(1/(ω*C*R))

What is phase shift of an RC circuit?

RC phase-shift oscillators use resistor-capacitor (RC) network to provide the phase-shift required by the feedback signal. They have excellent frequency stability and can yield a pure sine wave for a wide range of loads.

How to Calculate Phase Shift for RC Circuit?

Phase Shift for RC Circuit calculator uses Phase Shift RC = arctan(1/(Angular Velocity*Capacitance*Resistance)) to calculate the Phase Shift RC, The Phase Shift for RC Circuit formula is defined as the tan inverse of the reciprocal of the product of angular velocity, capacitance, and reactance. Phase Shift RC is denoted by φ_RC symbol.

How to calculate Phase Shift for RC Circuit using this online calculator? To use this online calculator for Phase Shift for RC Circuit, enter Angular Velocity (ω), Capacitance (C) & Resistance (R) and hit the calculate button. Here is how the Phase Shift for RC Circuit calculation can be explained with given input values -> 32.50197 = arctan(1/(2*5*10.1)).

FAQ

What is Phase Shift for RC Circuit?

The Phase Shift for RC Circuit formula is defined as the tan inverse of the reciprocal of the product of angular velocity, capacitance, and reactance and is represented as φ_RC = arctan(1/(ω*C*R)) or Phase Shift RC = arctan(1/(Angular Velocity*Capacitance*Resistance)). The Angular Velocity refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time, Capacitance is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential & Resistance is a measure of the opposition to current flow in an electrical circuit. Its S.I unit is ohm.

How to calculate Phase Shift for RC Circuit?

The Phase Shift for RC Circuit formula is defined as the tan inverse of the reciprocal of the product of angular velocity, capacitance, and reactance is calculated using Phase Shift RC = arctan(1/(Angular Velocity*Capacitance*Resistance)). To calculate Phase Shift for RC Circuit, you need Angular Velocity (ω), Capacitance (C) & Resistance (R). With our tool, you need to enter the respective value for Angular Velocity, Capacitance & Resistance and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Phase Shift RC?

In this formula, Phase Shift RC uses Angular Velocity, Capacitance & Resistance. We can use 2 other way(s) to calculate the same, which is/are as follows -

Phase Shift RC = (1/(Angular Velocity*Capacitance)-Angular Velocity*Impedance)/Resistance
Phase Shift RC = arctan(Angular Velocity*Impedance/Resistance)

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