AC Potentiometer Phase Angle Solution

STEP 0: Pre-Calculation Summary
Formula Used
Phase Angle = atan(Voltage 2/Voltage 1)
θ = atan(V2/V1)
This formula uses 2 Functions, 3 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)
atan - Inverse tan is used to calculate the angle by applying the tangent ratio of the angle, which is the opposite side divided by the adjacent side of the right triangle., atan(Number)
Variables Used
Phase Angle - (Measured in Radian) - Phase Angle refers to the relative timing or displacement between two waveforms or oscillations, measured in degrees or radians, indicating their alignment or difference in time.
Voltage 2 - (Measured in Volt) - Voltage 2 is the unknown EMF supplied.
Voltage 1 - (Measured in Volt) - Voltage 1 is the reference voltage.
STEP 1: Convert Input(s) to Base Unit
Voltage 2: 5 Volt --> 5 Volt No Conversion Required
Voltage 1: 17 Volt --> 17 Volt No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
θ = atan(V2/V1) --> atan(5/17)
Evaluating ... ...
θ = 0.286051441717318
STEP 3: Convert Result to Output's Unit
0.286051441717318 Radian --> No Conversion Required
FINAL ANSWER
0.286051441717318 0.286051 Radian <-- Phase Angle
(Calculation completed in 00.004 seconds)

Credits

Created by Nikita Suryawanshi
Vellore Institute of Technology (VIT), Vellore
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9 AC Circuits Calculators

Resistance of Coil in Transfer Type Potentiometer
Go Resistance of Coil = (Output Resistance*Voltage across Coil/Voltage across Shunt)*cos(Phase Angle in Coil-Phase Angle in Shunt)
Effective Resistance in Coordinate Type Potentiometer
Go Output Resistance = Sensitivity*Voltage across Coil/Voltage across Shunt
In-Phase Potentiometer Reading
Go In-Phase Potentiometer Reading = Loss Component of Current in Primary Winding*Resistance
Voltage Magnitude of AC Potentiometer
Go Total Voltage AC = sqrt((Voltage 1^2)+(Voltage 2^2))
Quadrature Potentiometer Reading
Go Quadrature Potentiometer Reading = Magnetizing Component of Current*Resistance
Full-Scale Voltage Reading
Go Full-scale Voltage Reading = Current at Full-Scale Reading*Resistance of Meter
AC Potentiometer Phase Angle
Go Phase Angle = atan(Voltage 2/Voltage 1)
Potentiometer Voltage
Go Output Voltage = Line Voltage/Voltage Division Ratio
Voltage Output of Volt Ratio Box in Coordinate Type Potentiometer
Go Output Voltage = Input Voltage/1.5

AC Potentiometer Phase Angle Formula

Phase Angle = atan(Voltage 2/Voltage 1)
θ = atan(V2/V1)

What is the range of phase angle calculation?

Phase angles up to 360 degrees can be calculated and read. It is calculated in reference to the second scale.

How to Calculate AC Potentiometer Phase Angle?

AC Potentiometer Phase Angle calculator uses Phase Angle = atan(Voltage 2/Voltage 1) to calculate the Phase Angle, The AC Potentiometer Phase Angle formula is used to calculate the angle (phase difference) between the reference and unknown EMF. Phase Angle is denoted by θ symbol.

How to calculate AC Potentiometer Phase Angle using this online calculator? To use this online calculator for AC Potentiometer Phase Angle, enter Voltage 2 (V2) & Voltage 1 (V1) and hit the calculate button. Here is how the AC Potentiometer Phase Angle calculation can be explained with given input values -> 0.286051 = atan(5/17).

FAQ

What is AC Potentiometer Phase Angle?
The AC Potentiometer Phase Angle formula is used to calculate the angle (phase difference) between the reference and unknown EMF and is represented as θ = atan(V2/V1) or Phase Angle = atan(Voltage 2/Voltage 1). Voltage 2 is the unknown EMF supplied & Voltage 1 is the reference voltage.
How to calculate AC Potentiometer Phase Angle?
The AC Potentiometer Phase Angle formula is used to calculate the angle (phase difference) between the reference and unknown EMF is calculated using Phase Angle = atan(Voltage 2/Voltage 1). To calculate AC Potentiometer Phase Angle, you need Voltage 2 (V2) & Voltage 1 (V1). With our tool, you need to enter the respective value for Voltage 2 & Voltage 1 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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