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RMS Voltage using Reactive Power Formula

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Root Mean Square Voltage is the square root of the time average of the voltage squared. Check FAQs

V rms = \frac{Q}{I rms \cdot \sin (Φ)}

V_rms - Root Mean Square Voltage?Q - Reactive Power?I_rms - Root Mean Square Current?Φ - Phase Difference?

RMS Voltage using Reactive Power Example

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Here is how the RMS Voltage using Reactive Power equation looks like with Values.

Here is how the RMS Voltage using Reactive Power equation looks like with Units.

Here is how the RMS Voltage using Reactive Power equation looks like.

57.0213 = \frac{134}{4.7 \cdot \sin (30)}

57.0213V = \frac{134VAR}{4.7A \cdot \sin (30°)}

57.0213 = \frac{134}{4.7 \cdot \sin (30)}

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RMS Voltage using Reactive Power Solution

Follow our step by step solution on how to calculate RMS Voltage using Reactive Power?

FIRST Step Consider the formula

V rms = \frac{Q}{I rms \cdot \sin (Φ)}

Next Step Substitute values of Variables

∴

V rms = \frac{134VAR}{4.7A \cdot \sin (30°)}

Next Step Convert Units

∴

V rms = \frac{134W}{4.7A \cdot \sin (0.5236rad)}

Next Step Prepare to Evaluate

∴

V rms = \frac{134}{4.7 \cdot \sin (0.5236)}

Next Step Evaluate

∴

V rms = 57.0212765957447V

LAST Step Rounding Answer

∴

V rms = 57.0213V

RMS Voltage using Reactive Power Formula Elements

Variables

Functions

Root Mean Square Voltage

Root Mean Square Voltage is the square root of the time average of the voltage squared.

Symbol: V_rms

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Root Mean Square Voltage

Reactive Power

Reactive Power is a measure of the energy exchange between the source and the reactive part of the load.

Symbol: Q

Measurement: PowerUnit: VAR

Note: Value can be positive or negative.

Formulas to find Reactive Power

Root Mean Square Current

Root Mean Square Current is defined as the root mean square of a given current.

Symbol: I_rms

Measurement: Electric CurrentUnit: A

Note: Value should be greater than 0.

Formulas to find Root Mean Square Current

Phase Difference

Phase Difference is defined as the difference between the phasor of apparent and real power (in degrees) or between voltage and current in an ac circuit.

Symbol: Φ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Phase Difference

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

Other formulas in Voltage category

Go Capacitance for Parallel RLC Circuit using Q Factor

C = \frac{L \cdot {Q ||}^{2}}{R^{2}}

Go Capacitance for Series RLC Circuit given Q Factor

C = \frac{L}{{Q se}^{2} \cdot R^{2}}

Go Resonant Frequency for RLC circuit

f o = \frac{1}{2 \cdot π \cdot \sqrt{L \cdot C}}

Go Resistance for Parallel RLC Circuit using Q Factor

R = \frac{Q ||}{\sqrt{\frac{C}{L}}}

How to Evaluate RMS Voltage using Reactive Power?

RMS Voltage using Reactive Power evaluator uses Root Mean Square Voltage = Reactive Power/(Root Mean Square Current*sin(Phase Difference)) to evaluate the Root Mean Square Voltage, RMS Voltage using Reactive Power is the square root of the time average of the voltage squared. Root Mean Square Voltage is denoted by V_rms symbol.

How to evaluate RMS Voltage using Reactive Power using this online evaluator? To use this online evaluator for RMS Voltage using Reactive Power, enter Reactive Power (Q), Root Mean Square Current (I_rms) & Phase Difference (Φ) and hit the calculate button.

FAQs on RMS Voltage using Reactive Power

What is the formula to find RMS Voltage using Reactive Power?

The formula of RMS Voltage using Reactive Power is expressed as Root Mean Square Voltage = Reactive Power/(Root Mean Square Current*sin(Phase Difference)). Here is an example- 57.02128 = 134/(4.7*sin(0.5235987755982)).

How to calculate RMS Voltage using Reactive Power?

With Reactive Power (Q), Root Mean Square Current (I_rms) & Phase Difference (Φ) we can find RMS Voltage using Reactive Power using the formula - Root Mean Square Voltage = Reactive Power/(Root Mean Square Current*sin(Phase Difference)). This formula also uses Sine (sin) function(s).

Can the RMS Voltage using Reactive Power be negative?

No, the RMS Voltage using Reactive Power, measured in Electric Potential cannot be negative.

Which unit is used to measure RMS Voltage using Reactive Power?

RMS Voltage using Reactive Power is usually measured using the Volt[V] for Electric Potential. Millivolt[V], Microvolt[V], Nanovolt[V] are the few other units in which RMS Voltage using Reactive Power can be measured.

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RMS Voltage using Reactive Power Formula

RMS Voltage using Reactive Power Example

RMS Voltage using Reactive Power Solution

RMS Voltage using Reactive Power Formula Elements

Other formulas in Voltage category

How to Evaluate RMS Voltage using Reactive Power?

FAQs on RMS Voltage using Reactive Power

Variable Name