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AC Potentiometer Phase Angle Formula

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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. Check FAQs

θ c = a \tan (\frac{V 2}{V 1})

θ_c - Coil Phase Angle?V₂ - Voltage 2?V₁ - Voltage 1?

AC Potentiometer Phase Angle Example

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Here is how the AC Potentiometer Phase Angle equation looks like with Values.

Here is how the AC Potentiometer Phase Angle equation looks like with Units.

Here is how the AC Potentiometer Phase Angle equation looks like.

1.0204 = a \tan (\frac{27.7}{17})

1.0204rad = a \tan (\frac{27.7V}{17V})

1.0204 = a \tan (\frac{27.7}{17})

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AC Potentiometer Phase Angle Solution

Follow our step by step solution on how to calculate AC Potentiometer Phase Angle?

FIRST Step Consider the formula

θ c = a \tan (\frac{V 2}{V 1})

Next Step Substitute values of Variables

∴

θ c = a \tan (\frac{27.7V}{17V})

Next Step Prepare to Evaluate

∴

θ c = a \tan (\frac{27.7}{17})

Next Step Evaluate

∴

θ c = 1.0203507772586rad

LAST Step Rounding Answer

∴

θ c = 1.0204rad

AC Potentiometer Phase Angle Formula Elements

Variables

Functions

Coil Phase Angle

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.

Symbol: θ_c

Measurement: AngleUnit: rad

Note: Value should be greater than 0.

Formulas to find Coil Phase Angle

Voltage 2

Voltage 2 is the unknown EMF supplied to calculate resultant voltage.

Symbol: V₂

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Voltage 2

Voltage 1

Voltage 1 is the reference voltage for calculating resultant voltage.

Symbol: V₁

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Voltage 1

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.

Syntax: 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.

Syntax: atan(Number)

Other formulas in AC Circuits category

Go Voltage Magnitude of AC Potentiometer

V = \sqrt{{V 1}^{2} + {V 2}^{2}}

Go Effective Resistance in Coordinate Type Potentiometer

R o = \frac{S \cdot V c}{V s}

Go Resistance of Coil in Transfer Type Potentiometer

R c = \frac{R o \cdot V c}{V s} \cdot \cos (θ c - θ s)

Go Potentiometer Voltage

V o = \frac{V l}{R d}

How to Evaluate AC Potentiometer Phase Angle?

AC Potentiometer Phase Angle evaluator uses Coil Phase Angle = atan(Voltage 2/Voltage 1) to evaluate 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 evaluate AC Potentiometer Phase Angle using this online evaluator? To use this online evaluator for AC Potentiometer Phase Angle, enter Voltage 2 (V₂) & Voltage 1 (V₁) and hit the calculate button.

FAQs on AC Potentiometer Phase Angle

What is the formula to find AC Potentiometer Phase Angle?

The formula of AC Potentiometer Phase Angle is expressed as Coil Phase Angle = atan(Voltage 2/Voltage 1). Here is an example- 0.286051 = atan(27.7/17).

How to calculate AC Potentiometer Phase Angle?

With Voltage 2 (V₂) & Voltage 1 (V₁) we can find AC Potentiometer Phase Angle using the formula - Coil Phase Angle = atan(Voltage 2/Voltage 1). This formula also uses Tangent, Inverse tan function(s).

Can the AC Potentiometer Phase Angle be negative?

No, the AC Potentiometer Phase Angle, measured in Angle cannot be negative.

Which unit is used to measure AC Potentiometer Phase Angle?

AC Potentiometer Phase Angle is usually measured using the Radian[rad] for Angle. Degree[rad], Minute[rad], Second[rad] are the few other units in which AC Potentiometer Phase Angle can be measured.

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