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Maximum Voltage using Volume of Conductor Material (3-Phase 3-Wire US) Formula

GoMaximum Voltage using Volume of Conductor Material(DC Three-Wire US) Formula

GoMaximum Voltage using Area of X-Section (DC Three-Wire US) Formula

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Maximum Voltage the highest voltage rating for electrical devices. Check FAQs

V m = \sqrt{6 \cdot ρ \cdot \frac{{(P \cdot l)}^{2}}{P line \cdot V \cdot {(\cos (θ))}^{2}}}

V_m - Maximum Voltage?ρ - Resistivity?P - Power Transmitted?l - Length of Wire DC?P_line - Line Losses?V - Volume Of Conductor?θ - Theta?

Maximum Voltage using Volume of Conductor Material (3-Phase 3-Wire US) Example

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Here is how the Maximum Voltage using Volume of Conductor Material (3-Phase 3-Wire US) equation looks like with Values.

Here is how the Maximum Voltage using Volume of Conductor Material (3-Phase 3-Wire US) equation looks like with Units.

Here is how the Maximum Voltage using Volume of Conductor Material (3-Phase 3-Wire US) equation looks like.

2.443 = \sqrt{6 \cdot 1.7E-5 \cdot \frac{{(300 \cdot 3.2)}^{2}}{0.6 \cdot 35 \cdot {(\cos (30))}^{2}}}

2.443V = \sqrt{6 \cdot 1.7E-5Ω*m \cdot \frac{{(300W \cdot 3.2m)}^{2}}{0.6W \cdot 35m³ \cdot {(\cos (30°))}^{2}}}

2.443 = \sqrt{6 \cdot 1.7E-5 \cdot \frac{{(300 \cdot 3.2)}^{2}}{0.6 \cdot 35 \cdot {(\cos (30))}^{2}}}

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Maximum Voltage using Volume of Conductor Material (3-Phase 3-Wire US) Solution

Follow our step by step solution on how to calculate Maximum Voltage using Volume of Conductor Material (3-Phase 3-Wire US)?

FIRST Step Consider the formula

V m = \sqrt{6 \cdot ρ \cdot \frac{{(P \cdot l)}^{2}}{P line \cdot V \cdot {(\cos (θ))}^{2}}}

Next Step Substitute values of Variables

∴

V m = \sqrt{6 \cdot 1.7E-5Ω*m \cdot \frac{{(300W \cdot 3.2m)}^{2}}{0.6W \cdot 35m³ \cdot {(\cos (30°))}^{2}}}

Next Step Convert Units

∴

V m = \sqrt{6 \cdot 1.7E-5Ω*m \cdot \frac{{(300W \cdot 3.2m)}^{2}}{0.6W \cdot 35m³ \cdot {(\cos (0.5236rad))}^{2}}}

Next Step Prepare to Evaluate

∴

V m = \sqrt{6 \cdot 1.7E-5 \cdot \frac{{(300 \cdot 3.2)}^{2}}{0.6 \cdot 35 \cdot {(\cos (0.5236))}^{2}}}

Next Step Evaluate

∴

V m = 2.44304259947655V

LAST Step Rounding Answer

∴

V m = 2.443V

Maximum Voltage using Volume of Conductor Material (3-Phase 3-Wire US) Formula Elements

Variables

Functions

Maximum Voltage

Maximum Voltage the highest voltage rating for electrical devices.

Symbol: V_m

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Maximum Voltage

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

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

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

Volume Of Conductor

Volume Of Conductor the 3-dimensional space enclosed by a conductor material.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value can be positive or negative.

Formulas to find Volume Of Conductor

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

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 Maximum Voltage

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}}

Other formulas in Current and Voltage category

Go Load Current using Line Losses (DC Three-Wire US)

C 1 = \sqrt{\frac{P line}{2 \cdot R 1}}

Go Maximum Voltage between Each Phase and Neutral (3-Phase 3-Wire US)

V m(phase) = \frac{V m}{\sqrt{3}}

How to Evaluate Maximum Voltage using Volume of Conductor Material (3-Phase 3-Wire US)?

Maximum Voltage using Volume of Conductor Material (3-Phase 3-Wire US) evaluator uses Maximum Voltage = sqrt(6*Resistivity*(Power Transmitted*Length of Wire DC)^2/(Line Losses*Volume Of Conductor*(cos(Theta))^2)) to evaluate the Maximum Voltage, The Maximum Voltage using Volume of Conductor Material (3-phase 3-wire US) formula is defined as the highest voltage rating for electrical devices and equipment that can be used with the voltage definition. Maximum Voltage is denoted by V_m symbol.

How to evaluate Maximum Voltage using Volume of Conductor Material (3-Phase 3-Wire US) using this online evaluator? To use this online evaluator for Maximum Voltage using Volume of Conductor Material (3-Phase 3-Wire US), enter Resistivity (ρ), Power Transmitted (P), Length of Wire DC (l), Line Losses (P_line), Volume Of Conductor (V) & Theta (θ) and hit the calculate button.

FAQs on Maximum Voltage using Volume of Conductor Material (3-Phase 3-Wire US)

What is the formula to find Maximum Voltage using Volume of Conductor Material (3-Phase 3-Wire US)?

The formula of Maximum Voltage using Volume of Conductor Material (3-Phase 3-Wire US) is expressed as Maximum Voltage = sqrt(6*Resistivity*(Power Transmitted*Length of Wire DC)^2/(Line Losses*Volume Of Conductor*(cos(Theta))^2)). Here is an example- 2.443043 = sqrt(6*1.7E-05*(300*3.2)^2/(0.6*35*(cos(0.5235987755982))^2)).

How to calculate Maximum Voltage using Volume of Conductor Material (3-Phase 3-Wire US)?

With Resistivity (ρ), Power Transmitted (P), Length of Wire DC (l), Line Losses (P_line), Volume Of Conductor (V) & Theta (θ) we can find Maximum Voltage using Volume of Conductor Material (3-Phase 3-Wire US) using the formula - Maximum Voltage = sqrt(6*Resistivity*(Power Transmitted*Length of Wire DC)^2/(Line Losses*Volume Of Conductor*(cos(Theta))^2)). This formula also uses Cosine (cos), Square Root (sqrt) function(s).

What are the other ways to Calculate Maximum Voltage?

Here are the different ways to Calculate Maximum Voltage-

Maximum Voltage=sqrt(5*Resistivity*(Power Transmitted*Length of Wire DC)^2/(Line Losses*Volume Of Conductor))
Maximum Voltage=sqrt(2*(Power Transmitted^2)*Resistivity*Length of Wire DC/(Line Losses*Area of underground dc wire))
Maximum Voltage=sqrt(2*(Power Transmitted^2)*Resistance underground DC/(Line Losses))

Can the Maximum Voltage using Volume of Conductor Material (3-Phase 3-Wire US) be negative?

Yes, the Maximum Voltage using Volume of Conductor Material (3-Phase 3-Wire US), measured in Electric Potential can be negative.

Which unit is used to measure Maximum Voltage using Volume of Conductor Material (3-Phase 3-Wire US)?

Maximum Voltage using Volume of Conductor Material (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 Maximum Voltage using Volume of Conductor Material (3-Phase 3-Wire US) can be measured.

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Maximum Voltage using Volume of Conductor Material (3-Phase 3-Wire US) Formula

​GoMaximum Voltage using Volume of Conductor Material(DC Three-Wire US) Formula

​GoMaximum Voltage using Area of X-Section (DC Three-Wire US) Formula

Maximum Voltage using Volume of Conductor Material (3-Phase 3-Wire US) Example

Maximum Voltage using Volume of Conductor Material (3-Phase 3-Wire US) Solution

Maximum Voltage using Volume of Conductor Material (3-Phase 3-Wire US) Formula Elements

Other Formulas to find Maximum Voltage

Other formulas in Current and Voltage category

How to Evaluate Maximum Voltage using Volume of Conductor Material (3-Phase 3-Wire US)?

FAQs on Maximum Voltage using Volume of Conductor Material (3-Phase 3-Wire US)

Variable Name

GoMaximum Voltage using Volume of Conductor Material(DC Three-Wire US) Formula

GoMaximum Voltage using Area of X-Section (DC Three-Wire US) Formula