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Maximum Voltage using Line Losses (DC Three-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{2 \cdot (P^{2}) \cdot \frac{R 1}{P line}}

V_m - Maximum Voltage?P - Power Transmitted?R₁ - Resistance underground DC?P_line - Line Losses?

Maximum Voltage using Line Losses (DC Three-Wire US) Example

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Here is how the Maximum Voltage using Line Losses (DC Three-Wire US) equation looks like with Values.

Here is how the Maximum Voltage using Line Losses (DC Three-Wire US) equation looks like with Units.

Here is how the Maximum Voltage using Line Losses (DC Three-Wire US) equation looks like.

1224.7449 = \sqrt{2 \cdot (300^{2}) \cdot \frac{5}{0.6}}

1224.7449V = \sqrt{2 \cdot ({300W}^{2}) \cdot \frac{5Ω}{0.6W}}

1224.7449 = \sqrt{2 \cdot (300^{2}) \cdot \frac{5}{0.6}}

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Maximum Voltage using Line Losses (DC Three-Wire US) Solution

Follow our step by step solution on how to calculate Maximum Voltage using Line Losses (DC Three-Wire US)?

FIRST Step Consider the formula

V m = \sqrt{2 \cdot (P^{2}) \cdot \frac{R 1}{P line}}

Next Step Substitute values of Variables

∴

V m = \sqrt{2 \cdot ({300W}^{2}) \cdot \frac{5Ω}{0.6W}}

Next Step Prepare to Evaluate

∴

V m = \sqrt{2 \cdot (300^{2}) \cdot \frac{5}{0.6}}

Next Step Evaluate

∴

V m = 1224.74487139159V

LAST Step Rounding Answer

∴

V m = 1224.7449V

Maximum Voltage using Line Losses (DC Three-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

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

Resistance underground DC

Resistance underground DC is defined as the time rate of flow of charge through a cross-sectional area.

Symbol: R₁

Measurement: Electric ResistanceUnit: Ω

Note: Value can be positive or negative.

Formulas to find Resistance underground 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

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}}

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

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

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

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

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}}

Go RMS Voltage Per Phase (3-Phase 3-Wire US)

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

Go Load Current Per Phase (3-Phase 3-Wire US)

C 1 = \frac{\sqrt{6} \cdot P}{3 \cdot V m \cdot \cos (θ)}

How to Evaluate Maximum Voltage using Line Losses (DC Three-Wire US)?

Maximum Voltage using Line Losses (DC Three-Wire US) evaluator uses Maximum Voltage = sqrt(2*(Power Transmitted^2)*Resistance underground DC/(Line Losses)) to evaluate the Maximum Voltage, The Maximum Voltage using Line Losses (DC Three-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 Line Losses (DC Three-Wire US) using this online evaluator? To use this online evaluator for Maximum Voltage using Line Losses (DC Three-Wire US), enter Power Transmitted (P), Resistance underground DC (R₁) & Line Losses (P_line) and hit the calculate button.

FAQs on Maximum Voltage using Line Losses (DC Three-Wire US)

What is the formula to find Maximum Voltage using Line Losses (DC Three-Wire US)?

The formula of Maximum Voltage using Line Losses (DC Three-Wire US) is expressed as Maximum Voltage = sqrt(2*(Power Transmitted^2)*Resistance underground DC/(Line Losses)). Here is an example- 1224.745 = sqrt(2*(300^2)*5/(0.6)).

How to calculate Maximum Voltage using Line Losses (DC Three-Wire US)?

With Power Transmitted (P), Resistance underground DC (R₁) & Line Losses (P_line) we can find Maximum Voltage using Line Losses (DC Three-Wire US) using the formula - Maximum Voltage = sqrt(2*(Power Transmitted^2)*Resistance underground DC/(Line Losses)). This formula also uses 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(6*Resistivity*(Power Transmitted*Length of Wire DC)^2/(Line Losses*Volume Of Conductor*(cos(Theta))^2))

Can the Maximum Voltage using Line Losses (DC Three-Wire US) be negative?

Yes, the Maximum Voltage using Line Losses (DC Three-Wire US), measured in Electric Potential can be negative.

Which unit is used to measure Maximum Voltage using Line Losses (DC Three-Wire US)?

Maximum Voltage using Line Losses (DC Three-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 Line Losses (DC Three-Wire US) can be measured.

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Maximum Voltage using Line Losses (DC Three-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 Line Losses (DC Three-Wire US) Example

Maximum Voltage using Line Losses (DC Three-Wire US) Solution

Maximum Voltage using Line Losses (DC Three-Wire US) Formula Elements

Other Formulas to find Maximum Voltage

Other formulas in Current and Voltage category

How to Evaluate Maximum Voltage using Line Losses (DC Three-Wire US)?

FAQs on Maximum Voltage using Line Losses (DC Three-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