FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

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

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

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

Fx Copy

LaTeX Copy

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

V rms = 2 \cdot P \cdot L \cdot \sqrt{2 \cdot \frac{ρ}{P loss \cdot K}}

V_rms - Root Mean Square Voltage?P - Power Transmitted?L - Length of Underground AC Wire?ρ - Resistivity?P_loss - Line Losses?K - Constant Underground AC?

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

With values

With units

Only example

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

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

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

55.0918 = 2 \cdot 300 \cdot 24 \cdot \sqrt{2 \cdot \frac{1.7E-5}{2.67 \cdot 0.87}}

55.0918V = 2 \cdot 300W \cdot 24m \cdot \sqrt{2 \cdot \frac{1.7E-5Ω*m}{2.67W \cdot 0.87}}

55.0918 = 2 \cdot 300 \cdot 24 \cdot \sqrt{2 \cdot \frac{1.7E-5}{2.67 \cdot 0.87}}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Electrical » Category

Power System » fx RMS Voltage using Constant (1-Phase 2-Wire US)

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

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

FIRST Step Consider the formula

V rms = 2 \cdot P \cdot L \cdot \sqrt{2 \cdot \frac{ρ}{P loss \cdot K}}

Next Step Substitute values of Variables

∴

V rms = 2 \cdot 300W \cdot 24m \cdot \sqrt{2 \cdot \frac{1.7E-5Ω*m}{2.67W \cdot 0.87}}

Next Step Prepare to Evaluate

∴

V rms = 2 \cdot 300 \cdot 24 \cdot \sqrt{2 \cdot \frac{1.7E-5}{2.67 \cdot 0.87}}

Next Step Evaluate

∴

V rms = 55.0917659308758V

LAST Step Rounding Answer

∴

V rms = 55.0918V

RMS Voltage using Constant (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

Power Transmitted

Power Transmitted is the amount of power that is transferred from its place of generation to a location where it is applied to perform useful work.

Symbol: P

Measurement: PowerUnit: W

Note: Value can be positive or negative.

Formulas to find Power Transmitted

Length of Underground AC Wire

Length of Underground AC Wire is the total length of the wire from one end to other end.

Symbol: L

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Underground AC Wire

Resistivity

Resistivity is the measure of how strongly a material opposes the flow of current through them.

Symbol: ρ

Measurement: Electric ResistivityUnit: Ω*m

Note: Value can be positive or negative.

Formulas to find Resistivity

Line Losses

Line Losses is defined as the total losses occurring in an Underground AC line when in use.

Symbol: P_loss

Measurement: PowerUnit: W

Note: Value can be positive or negative.

Formulas to find Line Losses

Constant Underground AC

Constant Underground AC is defined as the constant of line of a Overhead supply system.

Symbol: K

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Constant 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(1-Phase 2-Wire US)

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

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)}

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 using Constant (1-Phase 2-Wire US)?

RMS Voltage using Constant (1-Phase 2-Wire US) evaluator uses Root Mean Square Voltage = 2*Power Transmitted*Length of Underground AC Wire*sqrt(2*Resistivity/(Line Losses*Constant Underground AC)) to evaluate the Root Mean Square Voltage, The RMS Voltage using Constant (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 using Constant (1-Phase 2-Wire US) using this online evaluator? To use this online evaluator for RMS Voltage using Constant (1-Phase 2-Wire US), enter Power Transmitted (P), Length of Underground AC Wire (L), Resistivity (ρ), Line Losses (P_loss) & Constant Underground AC (K) and hit the calculate button.

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

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

The formula of RMS Voltage using Constant (1-Phase 2-Wire US) is expressed as Root Mean Square Voltage = 2*Power Transmitted*Length of Underground AC Wire*sqrt(2*Resistivity/(Line Losses*Constant Underground AC)). Here is an example- 55.09177 = 2*300*24*sqrt(2*1.7E-05/(2.67*0.87)).

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

With Power Transmitted (P), Length of Underground AC Wire (L), Resistivity (ρ), Line Losses (P_loss) & Constant Underground AC (K) we can find RMS Voltage using Constant (1-Phase 2-Wire US) using the formula - Root Mean Square Voltage = 2*Power Transmitted*Length of Underground AC Wire*sqrt(2*Resistivity/(Line Losses*Constant Underground AC)). This formula also uses Square Root (sqrt) 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=Maximum Voltage Underground AC/sqrt(2)
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))

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

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

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

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

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

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

​GoRMS Voltage(1-Phase 2-Wire US) Formula

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

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

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

RMS Voltage using Constant (1-Phase 2-Wire US) Formula Elements

Other Formulas to find Root Mean Square Voltage

Other formulas in Current and Voltage category

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

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

Variable Name

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

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