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RMS Voltage(1-Phase 2-Wire US) Formula

GoRMS Voltage using Area of X-Section (1-Phase 2-Wire US) Formula

GoRMS Voltage using Volume of Conductor Material (1-Phase 2-Wire US) 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{V m}{\sqrt{2}}

V_rms - Root Mean Square Voltage?V_m - Maximum Voltage Underground AC?

RMS Voltage(1-Phase 2-Wire US) Example

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Here is how the RMS Voltage(1-Phase 2-Wire US) equation looks like with Values.

Here is how the RMS Voltage(1-Phase 2-Wire US) equation looks like with Units.

Here is how the RMS Voltage(1-Phase 2-Wire US) equation looks like.

162.6346 = \frac{230}{\sqrt{2}}

162.6346V = \frac{230V}{\sqrt{2}}

162.6346 = \frac{230}{\sqrt{2}}

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RMS Voltage(1-Phase 2-Wire US) Solution

Follow our step by step solution on how to calculate RMS Voltage(1-Phase 2-Wire US)?

FIRST Step Consider the formula

V rms = \frac{V m}{\sqrt{2}}

Next Step Substitute values of Variables

∴

V rms = \frac{230V}{\sqrt{2}}

Next Step Prepare to Evaluate

∴

V rms = \frac{230}{\sqrt{2}}

Next Step Evaluate

∴

V rms = 162.634559672906V

LAST Step Rounding Answer

∴

V rms = 162.6346V

RMS Voltage(1-Phase 2-Wire US) 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

Maximum Voltage Underground AC

Maximum Voltage Underground AC is defined as the peak amplitude of the AC voltage supplied to the line or wire.

Symbol: V_m

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Maximum Voltage Underground AC

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Root Mean Square Voltage

Go RMS Voltage using Area of X-Section (1-Phase 2-Wire US)

V rms = \sqrt{\frac{2 \cdot L \cdot ρ \cdot (P^{2})}{A \cdot P loss \cdot ({(\cos (Φ))}^{2})}}

Go RMS Voltage using Volume of Conductor Material (1-Phase 2-Wire US)

V rms = \sqrt{4 \cdot ρ \cdot \frac{{(P \cdot L)}^{2}}{P loss \cdot {(\cos (Φ))}^{2} \cdot V}}

Go RMS Voltage using Load Current (1-Phase 2-Wire US)

V rms = \frac{P}{I \cdot \cos (Φ)}

Go RMS Voltage using Line Losses (1-Phase 2-Wire US)

V rms = 2 \cdot P \cdot \frac{\sqrt{2 \cdot ρ \cdot \frac{L}{A \cdot P loss}}}{\cos (Φ)}

Other formulas in Current and Voltage category

Go Load Current (1-Phase 2-Wire US)

I = P \cdot \frac{\sqrt{2}}{V m \cdot \cos (Φ)}

Go Maximum Voltage using Area of X-Section (1-Phase 2-Wire US)

V m = \sqrt{\frac{4 \cdot L \cdot ρ \cdot (P^{2})}{A \cdot P loss \cdot {(\cos (Φ))}^{2}}}

Go Maximum Voltage using Volume of Conductor Material (1-Phase 2-Wire US)

V m = \sqrt{8 \cdot ρ \cdot \frac{{(P \cdot L)}^{2}}{P loss \cdot V \cdot {(\cos (Φ))}^{2}}}

Go Maximum Voltage using Load Current (1-Phase 2-Wire US)

V m = (\sqrt{2}) \cdot \frac{P}{I \cdot (\cos (Φ))}

How to Evaluate RMS Voltage(1-Phase 2-Wire US)?

RMS Voltage(1-Phase 2-Wire US) evaluator uses Root Mean Square Voltage = Maximum Voltage Underground AC/sqrt(2) to evaluate the Root Mean Square Voltage, The RMS Voltage(1-Phase 2-Wire US) formula is defined as 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(1-Phase 2-Wire US) using this online evaluator? To use this online evaluator for RMS Voltage(1-Phase 2-Wire US), enter Maximum Voltage Underground AC (V_m) and hit the calculate button.

FAQs on RMS Voltage(1-Phase 2-Wire US)

What is the formula to find RMS Voltage(1-Phase 2-Wire US)?

The formula of RMS Voltage(1-Phase 2-Wire US) is expressed as Root Mean Square Voltage = Maximum Voltage Underground AC/sqrt(2). Here is an example- 162.6346 = 230/sqrt(2).

How to calculate RMS Voltage(1-Phase 2-Wire US)?

With Maximum Voltage Underground AC (V_m) we can find RMS Voltage(1-Phase 2-Wire US) using the formula - Root Mean Square Voltage = Maximum Voltage Underground AC/sqrt(2). This formula also uses Square Root Function 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=sqrt((2*Length of Underground AC Wire*Resistivity*(Power Transmitted^2))/(Area of Underground AC Wire*Line Losses*((cos(Phase Difference))^2)))
Root Mean Square Voltage=sqrt(4*Resistivity*(Power Transmitted*Length of Underground AC Wire)^2/(Line Losses*(cos(Phase Difference))^2*Volume Of Conductor))
Root Mean Square Voltage=Power Transmitted/(Current Underground AC*cos(Phase Difference))

Can the RMS Voltage(1-Phase 2-Wire US) be negative?

No, the RMS Voltage(1-Phase 2-Wire US), measured in Electric Potential cannot be negative.

Which unit is used to measure RMS Voltage(1-Phase 2-Wire US)?

RMS Voltage(1-Phase 2-Wire US) 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(1-Phase 2-Wire US) can be measured.

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