Phase Shift for LCR 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%
✖Impedance (Z), in electrical devices, refers to the amount of opposition faced by the direct or alternating current when it passes through a conductor component, circuit, or system.ⓘ Impedance [Z]			+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 LCR Circuit [φ_RC]

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Formula

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Phase Shift for LCR Circuit

Formula

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

Example

`"-6.240134°"=(1/("2rad/s"*"5F")-"2rad/s"*"0.6Ω")/"10.1Ω"`

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Phase Shift for LCR Circuit Solution

STEP 0: Pre-Calculation Summary

Formula Used

Phase Shift RC = (1/(Angular Velocity*Capacitance)-Angular Velocity*Impedance)/Resistance
φ_RC = (1/(ω*C)-ω*Z)/R
This formula uses 5 Variables

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.
Impedance - (Measured in Ohm) - Impedance (Z), in electrical devices, refers to the amount of opposition faced by the direct or alternating current when it passes through a conductor component, circuit, or system.
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
Impedance: 0.6 Ohm --> 0.6 Ohm No Conversion Required
Resistance: 10.1 Ohm --> 10.1 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

φ_RC = (1/(ω*C)-ω*Z)/R --> (1/(2*5)-2*0.6)/10.1

Evaluating ... ...

φ_RC = -0.108910891089109

STEP 3: Convert Result to Output's Unit

-0.108910891089109 Radian -->-6.24013440241608 Degree (Check conversion here)

FINAL ANSWER

-6.24013440241608 ≈ -6.240134 Degree <-- Phase Shift RC

(Calculation completed in 00.004 seconds)

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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 LCR Circuit Formula

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

What is phase shift of LCR circuit?

An LCR circuit comprises of an inductor , capacitor and resistance . In a series LCR circuit, the phase difference between the current in the capacitor and the current in the resistor is 0degree because the same current flows through the capacitor as well as the resistor.

How to Calculate Phase Shift for LCR Circuit?

Phase Shift for LCR Circuit calculator uses Phase Shift RC = (1/(Angular Velocity*Capacitance)-Angular Velocity*Impedance)/Resistance to calculate the Phase Shift RC, The Phase Shift for LCR Circuit formula is defined as the quotient when the difference of the reciprocal of the product of angular velocity and capacitance and product of angular velocity and impedance is divided by resistance. Phase Shift RC is denoted by φ_RC symbol.

How to calculate Phase Shift for LCR Circuit using this online calculator? To use this online calculator for Phase Shift for LCR Circuit, enter Angular Velocity (ω), Capacitance (C), Impedance (Z) & Resistance (R) and hit the calculate button. Here is how the Phase Shift for LCR Circuit calculation can be explained with given input values -> -357.533365 = (1/(2*5)-2*0.6)/10.1.

FAQ

What is Phase Shift for LCR Circuit?

The Phase Shift for LCR Circuit formula is defined as the quotient when the difference of the reciprocal of the product of angular velocity and capacitance and product of angular velocity and impedance is divided by resistance and is represented as φ_RC = (1/(ω*C)-ω*Z)/R or Phase Shift RC = (1/(Angular Velocity*Capacitance)-Angular Velocity*Impedance)/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, Impedance (Z), in electrical devices, refers to the amount of opposition faced by the direct or alternating current when it passes through a conductor component, circuit, or system & 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 LCR Circuit?

The Phase Shift for LCR Circuit formula is defined as the quotient when the difference of the reciprocal of the product of angular velocity and capacitance and product of angular velocity and impedance is divided by resistance is calculated using Phase Shift RC = (1/(Angular Velocity*Capacitance)-Angular Velocity*Impedance)/Resistance. To calculate Phase Shift for LCR Circuit, you need Angular Velocity (ω), Capacitance (C), Impedance (Z) & Resistance (R). With our tool, you need to enter the respective value for Angular Velocity, Capacitance, Impedance & 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, Impedance & Resistance. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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