AC Potentiometer Phase Angle Calculator

✖Voltage 2 is the unknown EMF supplied to calculate resultant voltage.ⓘ Voltage 2 [V₂]			+10% -10%
✖Voltage 1 is the reference voltage for calculating resultant voltage.ⓘ Voltage 1 [V₁]			+10% -10%

✖Coil Phase Angle is the angle by which the current lags behind the voltage in an inductive coil when an alternating current (AC) passes through it.ⓘ AC Potentiometer Phase Angle [θ_c]

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Formula

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AC Potentiometer Phase Angle

Formula

`"θ"_{"c"} = atan("V"_{"2"}/"V"_{"1"})`

Example

`"1.020351rad"=atan("27.7V"/"17V")`

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AC Potentiometer Phase Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Coil Phase Angle = atan(Voltage 2/Voltage 1)
θ_c = 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

Coil Phase Angle - (Measured in Radian) - Coil Phase Angle is the angle by which the current lags behind the voltage in an inductive coil when an alternating current (AC) passes through it.
Voltage 2 - (Measured in Volt) - Voltage 2 is the unknown EMF supplied to calculate resultant voltage.
Voltage 1 - (Measured in Volt) - Voltage 1 is the reference voltage for calculating resultant voltage.

STEP 1: Convert Input(s) to Base Unit

Voltage 2: 27.7 Volt --> 27.7 Volt No Conversion Required
Voltage 1: 17 Volt --> 17 Volt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

θ_c = atan(V₂/V₁) --> atan(27.7/17)

Evaluating ... ...

θ_c = 1.0203507772586

STEP 3: Convert Result to Output's Unit

1.0203507772586 Radian --> No Conversion Required

FINAL ANSWER

1.0203507772586 ≈ 1.020351 Radian <-- Coil Phase Angle

(Calculation completed in 00.004 seconds)

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Home » Engineering » Electronics and Instrumentation » Measuring Instrument Circuits » Potentiometer » AC Circuits » AC Potentiometer Phase Angle

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Created by Nikita Suryawanshi

Vellore Institute of Technology (VIT), Vellore

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< 7 AC Circuits Calculators

Resistance of Coil in Transfer Type Potentiometer

Go Coil Resistance = (Output Resistance*Voltage across Coil)/(Voltage across Shunt)*cos(Coil Phase Angle-Standard Resistor Phase Angle)

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 = Primary Winding Current Loss Component*Resistance

Voltage Magnitude of AC Potentiometer

Go Total Voltage = sqrt(Voltage 1^2+Voltage 2^2)

Quadrature Potentiometer Reading

Go Quadrature Potentiometer Reading = Magnetizing Current Component*Resistance

AC Potentiometer Phase Angle

Go Coil Phase Angle = atan(Voltage 2/Voltage 1)

Potentiometer Voltage

Go Output Voltage = Line Voltage/Voltage Division Ratio

AC Potentiometer Phase Angle Formula

Coil Phase Angle = atan(Voltage 2/Voltage 1)
θ_c = 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 Coil Phase Angle = atan(Voltage 2/Voltage 1) to calculate the Coil Phase Angle, The AC Potentiometer Phase Angle formula is used to calculate the angle (phase difference) between the reference and unknown EMF. Coil Phase Angle is denoted by θ_c 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(27.7/17).

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_c = atan(V₂/V₁) or Coil Phase Angle = atan(Voltage 2/Voltage 1). Voltage 2 is the unknown EMF supplied to calculate resultant voltage & Voltage 1 is the reference voltage for calculating resultant 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 Coil 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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