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RMS Voltage using Area of X-Section (3-Phase 3-Wire US) Formula

GoRMS Voltage Per Phase (3-Phase 3-Wire US) Formula

GoRMS Voltage using Load Current Per Phase (3-Phase 3-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 = (2 \cdot \frac{P}{\cos (θ)}) \cdot \sqrt{ρ \cdot \frac{l}{P line \cdot A}}

V_rms - Root Mean Square Voltage?P - Power Transmitted?θ - Theta?ρ - Resistivity?l - Length of Wire DC?P_line - Line Losses?A - Area of underground dc wire?

RMS Voltage using Area of X-Section (3-Phase 3-Wire US) Example

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Here is how the RMS Voltage using Area of X-Section (3-Phase 3-Wire US) equation looks like with Values.

Here is how the RMS Voltage using Area of X-Section (3-Phase 3-Wire US) equation looks like with Units.

Here is how the RMS Voltage using Area of X-Section (3-Phase 3-Wire US) equation looks like.

11.6619 = (2 \cdot \frac{300}{\cos (30)}) \cdot \sqrt{1.7E-5 \cdot \frac{3.2}{0.6 \cdot 0.32}}

11.6619V = (2 \cdot \frac{300W}{\cos (30°)}) \cdot \sqrt{1.7E-5Ω*m \cdot \frac{3.2m}{0.6W \cdot 0.32m²}}

11.6619 = (2 \cdot \frac{300}{\cos (30)}) \cdot \sqrt{1.7E-5 \cdot \frac{3.2}{0.6 \cdot 0.32}}

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RMS Voltage using Area of X-Section (3-Phase 3-Wire US) Solution

Follow our step by step solution on how to calculate RMS Voltage using Area of X-Section (3-Phase 3-Wire US)?

FIRST Step Consider the formula

V rms = (2 \cdot \frac{P}{\cos (θ)}) \cdot \sqrt{ρ \cdot \frac{l}{P line \cdot A}}

Next Step Substitute values of Variables

∴

V rms = (2 \cdot \frac{300W}{\cos (30°)}) \cdot \sqrt{1.7E-5Ω*m \cdot \frac{3.2m}{0.6W \cdot 0.32m²}}

Next Step Convert Units

∴

V rms = (2 \cdot \frac{300W}{\cos (0.5236rad)}) \cdot \sqrt{1.7E-5Ω*m \cdot \frac{3.2m}{0.6W \cdot 0.32m²}}

Next Step Prepare to Evaluate

∴

V rms = (2 \cdot \frac{300}{\cos (0.5236)}) \cdot \sqrt{1.7E-5 \cdot \frac{3.2}{0.6 \cdot 0.32}}

Next Step Evaluate

∴

V rms = 11.6619037896906V

LAST Step Rounding Answer

∴

V rms = 11.6619V

RMS Voltage using Area of X-Section (3-Phase 3-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 should be greater than 0.

Formulas to find Power Transmitted

Theta

Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.

Symbol: θ

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Theta

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

Length of Wire DC

Length of Wire DC is the measurement or extent of something from end to end.

Symbol: l

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Wire DC

Line Losses

Line Losses is defined as the losses that are produced in the line.

Symbol: P_line

Measurement: PowerUnit: W

Note: Value can be positive or negative.

Formulas to find Line Losses

Area of underground dc wire

The Area of underground dc wire is the amount of two-dimensional space taken up by an object.

Symbol: A

Measurement: AreaUnit: m²

Note: Value can be positive or negative.

Formulas to find Area of underground dc wire

cos

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

Syntax: cos(Angle)

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 Per Phase (3-Phase 3-Wire US)

V rms = \frac{V m}{\sqrt{6}}

Go RMS Voltage using Load Current Per Phase (3-Phase 3-Wire US)

V rms = \frac{P}{3 \cdot C 1 \cdot \cos (θ)}

Other formulas in Current and Voltage category

Go Maximum Voltage using Volume of Conductor Material(DC Three-Wire US)

V m = \sqrt{5 \cdot ρ \cdot \frac{{(P \cdot l)}^{2}}{P line \cdot V}}

Go Maximum Voltage using Area of X-Section (DC Three-Wire US)

V m = \sqrt{2 \cdot (P^{2}) \cdot ρ \cdot \frac{l}{P line \cdot A}}

How to Evaluate RMS Voltage using Area of X-Section (3-Phase 3-Wire US)?

RMS Voltage using Area of X-Section (3-Phase 3-Wire US) evaluator uses Root Mean Square Voltage = (2*Power Transmitted/cos(Theta))*sqrt(Resistivity*Length of Wire DC/(Line Losses*Area of underground dc wire)) to evaluate the Root Mean Square Voltage, The RMS Voltage using Area of X-Section (3-phase 3-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 Area of X-Section (3-Phase 3-Wire US) using this online evaluator? To use this online evaluator for RMS Voltage using Area of X-Section (3-Phase 3-Wire US), enter Power Transmitted (P), Theta (θ), Resistivity (ρ), Length of Wire DC (l), Line Losses (P_line) & Area of underground dc wire (A) and hit the calculate button.

FAQs on RMS Voltage using Area of X-Section (3-Phase 3-Wire US)

What is the formula to find RMS Voltage using Area of X-Section (3-Phase 3-Wire US)?

The formula of RMS Voltage using Area of X-Section (3-Phase 3-Wire US) is expressed as Root Mean Square Voltage = (2*Power Transmitted/cos(Theta))*sqrt(Resistivity*Length of Wire DC/(Line Losses*Area of underground dc wire)). Here is an example- 11.6619 = (2*300/cos(0.5235987755982))*sqrt(1.7E-05*3.2/(0.6*0.32)).

How to calculate RMS Voltage using Area of X-Section (3-Phase 3-Wire US)?

With Power Transmitted (P), Theta (θ), Resistivity (ρ), Length of Wire DC (l), Line Losses (P_line) & Area of underground dc wire (A) we can find RMS Voltage using Area of X-Section (3-Phase 3-Wire US) using the formula - Root Mean Square Voltage = (2*Power Transmitted/cos(Theta))*sqrt(Resistivity*Length of Wire DC/(Line Losses*Area of underground dc wire)). This formula also uses Cosine (cos), 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/(sqrt(6))
Root Mean Square Voltage=Power Transmitted/(3*Current underground DC*cos(Theta))

Can the RMS Voltage using Area of X-Section (3-Phase 3-Wire US) be negative?

No, the RMS Voltage using Area of X-Section (3-Phase 3-Wire US), measured in Electric Potential cannot be negative.

Which unit is used to measure RMS Voltage using Area of X-Section (3-Phase 3-Wire US)?

RMS Voltage using Area of X-Section (3-Phase 3-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 Area of X-Section (3-Phase 3-Wire US) can be measured.

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RMS Voltage using Area of X-Section (3-Phase 3-Wire US) Formula

​GoRMS Voltage Per Phase (3-Phase 3-Wire US) Formula

​GoRMS Voltage using Load Current Per Phase (3-Phase 3-Wire US) Formula

RMS Voltage using Area of X-Section (3-Phase 3-Wire US) Example

RMS Voltage using Area of X-Section (3-Phase 3-Wire US) Solution

RMS Voltage using Area of X-Section (3-Phase 3-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 Area of X-Section (3-Phase 3-Wire US)?

FAQs on RMS Voltage using Area of X-Section (3-Phase 3-Wire US)

Variable Name

GoRMS Voltage Per Phase (3-Phase 3-Wire US) Formula

GoRMS Voltage using Load Current Per Phase (3-Phase 3-Wire US) Formula