Phase Shift for LR Circuit Solution

STEP 0: Pre-Calculation Summary
Formula Used
Phase Shift RC = arctan(Angular Velocity*Impedance/Resistance)
φRC = arctan(ω*Z/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.
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
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
φRC = arctan(ω*Z/R) --> arctan(2*0.6/10.1)
Evaluating ... ...
φRC = 0.118257509139079
STEP 3: Convert Result to Output's Unit
0.118257509139079 Radian -->6.77565616940029 Degree (Check conversion ​here)
FINAL ANSWER
6.77565616940029 6.775656 Degree <-- Phase Shift RC
(Calculation completed in 00.004 seconds)

Credits

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Created by Anamika Mittal
Vellore Institute of Technology (VIT), Bhopal
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St Joseph's College (SJC), Bengaluru
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Phase Shift Calculators

Phase Shift for LCR Circuit
​ LaTeX ​ Go Phase Shift RC = (1/(Angular Velocity*Capacitance)-Angular Velocity*Impedance)/Resistance
Phase Shift for RC Circuit
​ LaTeX ​ Go Phase Shift RC = arctan(1/(Angular Velocity*Capacitance*Resistance))
Phase Shift for LR Circuit
​ LaTeX ​ Go Phase Shift RC = arctan(Angular Velocity*Impedance/Resistance)

Phase Shift for LR Circuit Formula

​LaTeX ​Go
Phase Shift RC = arctan(Angular Velocity*Impedance/Resistance)
φRC = arctan(ω*Z/R)

What is phase shift for LR circuit?

The Phase Shift for LR Circuit formula is defined as the angle the tangent of which is equal to the product of angular velocity , impedance and inverse of resistance.

How to Calculate Phase Shift for LR Circuit?

Phase Shift for LR Circuit calculator uses Phase Shift RC = arctan(Angular Velocity*Impedance/Resistance) to calculate the Phase Shift RC, A Phase Shift for LR Circuit is θ the phase angle (in degrees) between voltage and current, X = 2πfL is the inductive reactance of the inductor, and R is the resistance of the resistor (both measured in ohms), and L is the inductance of the inductor (in Henries). Phase Shift RC is denoted by φRC symbol.

How to calculate Phase Shift for LR Circuit using this online calculator? To use this online calculator for Phase Shift for LR Circuit, enter Angular Velocity (ω), Impedance (Z) & Resistance (R) and hit the calculate button. Here is how the Phase Shift for LR Circuit calculation can be explained with given input values -> 388.2165 = arctan(2*0.6/10.1).

FAQ

What is Phase Shift for LR Circuit?
A Phase Shift for LR Circuit is θ the phase angle (in degrees) between voltage and current, X = 2πfL is the inductive reactance of the inductor, and R is the resistance of the resistor (both measured in ohms), and L is the inductance of the inductor (in Henries) and is represented as φRC = arctan(ω*Z/R) or Phase Shift RC = arctan(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, 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 LR Circuit?
A Phase Shift for LR Circuit is θ the phase angle (in degrees) between voltage and current, X = 2πfL is the inductive reactance of the inductor, and R is the resistance of the resistor (both measured in ohms), and L is the inductance of the inductor (in Henries) is calculated using Phase Shift RC = arctan(Angular Velocity*Impedance/Resistance). To calculate Phase Shift for LR Circuit, you need Angular Velocity (ω), Impedance (Z) & Resistance (R). With our tool, you need to enter the respective value for Angular Velocity, 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, Impedance & 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(1/(Angular Velocity*Capacitance*Resistance))
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