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RMS Voltage using Real Power Formula

GoRMS 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{P}{I rms \cdot \cos (Φ)}

V_rms - Root Mean Square Voltage?P - Real Power?I_rms - Root Mean Square Current?Φ - Phase Difference?

RMS Voltage using Real Power Example

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

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

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

57.735 = \frac{235}{4.7 \cdot \cos (30)}

57.735V = \frac{235W}{4.7A \cdot \cos (30°)}

57.735 = \frac{235}{4.7 \cdot \cos (30)}

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RMS Voltage using Real Power Solution

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

FIRST Step Consider the formula

V rms = \frac{P}{I rms \cdot \cos (Φ)}

Next Step Substitute values of Variables

∴

V rms = \frac{235W}{4.7A \cdot \cos (30°)}

Next Step Convert Units

∴

V rms = \frac{235W}{4.7A \cdot \cos (0.5236rad)}

Next Step Prepare to Evaluate

∴

V rms = \frac{235}{4.7 \cdot \cos (0.5236)}

Next Step Evaluate

∴

V rms = 57.7350269189626V

LAST Step Rounding Answer

∴

V rms = 57.735V

RMS Voltage using Real 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

Real Power

The Real Power P is the average power in watts delivered to a load. It is the only useful power. It is the actual power dissipated by the load.

Symbol: P

Measurement: PowerUnit: W

Note: Value should be greater than 0.

Formulas to find Real 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

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other Formulas to find Root Mean Square Voltage

Go RMS Voltage using Reactive Power

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

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 Capacitance given Cut off Frequency

C = \frac{1}{2 \cdot R \cdot π \cdot f c}

Go Capacitance using Time Constant

C = \frac{τ}{R}

How to Evaluate RMS Voltage using Real Power?

RMS Voltage using Real Power evaluator uses Root Mean Square Voltage = Real Power/(Root Mean Square Current*cos(Phase Difference)) to evaluate the Root Mean Square Voltage, RMS Voltage using Real Power is the square root of the time average of the voltage squared, which can also be referred to as the effective value, which depends on the magnitude of the waveform and is not a function of either the frequency or its phase angle. Root Mean Square Voltage is denoted by V_rms symbol.

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

FAQs on RMS Voltage using Real Power

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

The formula of RMS Voltage using Real Power is expressed as Root Mean Square Voltage = Real Power/(Root Mean Square Current*cos(Phase Difference)). Here is an example- 57.73503 = 235/(4.7*cos(0.5235987755982)).

How to calculate RMS Voltage using Real Power?

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

What are the other ways to Calculate Root Mean Square Voltage?

Here are the different ways to Calculate Root Mean Square Voltage-

Root Mean Square Voltage=Reactive Power/(Root Mean Square Current*sin(Phase Difference))

Can the RMS Voltage using Real Power be negative?

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

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

RMS Voltage using Real 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 Real Power can be measured.

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RMS Voltage using Real Power Formula

​GoRMS Voltage using Reactive Power Formula

RMS Voltage using Real Power Example

RMS Voltage using Real Power Solution

RMS Voltage using Real Power Formula Elements

Other Formulas to find Root Mean Square Voltage

Other formulas in Voltage category

How to Evaluate RMS Voltage using Real Power?

FAQs on RMS Voltage using Real Power

Variable Name

GoRMS Voltage using Reactive Power Formula