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Maximum Voltage using Line Losses(DC 3-Wire) Formula

GoMaximum Power using Load Current(DC 3-Wire) Formula

GoMaximum Voltage using Volume of Conductor Material (DC 3-Wire) Formula

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Maximum Voltage Overhead DC is defined as the peak amplitude of the AC voltage supplied to the line or wire. Check FAQs

V m = P \cdot \sqrt{ρ \cdot \frac{L}{P loss \cdot 2 \cdot A}}

V_m - Maximum Voltage Overhead DC?P - Power Transmitted?ρ - Resistivity?L - Length of Wire DC?P_loss - Line Losses?A - Area of Overhead DC Wire?

Maximum Voltage using Line Losses(DC 3-Wire) Example

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Here is how the Maximum Voltage using Line Losses(DC 3-Wire) equation looks like with Values.

Here is how the Maximum Voltage using Line Losses(DC 3-Wire) equation looks like with Units.

Here is how the Maximum Voltage using Line Losses(DC 3-Wire) equation looks like.

13.7825 = 920 \cdot \sqrt{1.7E-5 \cdot \frac{12.7}{0.74 \cdot 2 \cdot 0.65}}

13.7825V = 920W \cdot \sqrt{1.7E-5Ω*m \cdot \frac{12.7m}{0.74W \cdot 2 \cdot 0.65m²}}

13.7825 = 920 \cdot \sqrt{1.7E-5 \cdot \frac{12.7}{0.74 \cdot 2 \cdot 0.65}}

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Maximum Voltage using Line Losses(DC 3-Wire) Solution

Follow our step by step solution on how to calculate Maximum Voltage using Line Losses(DC 3-Wire)?

FIRST Step Consider the formula

V m = P \cdot \sqrt{ρ \cdot \frac{L}{P loss \cdot 2 \cdot A}}

Next Step Substitute values of Variables

∴

V m = 920W \cdot \sqrt{1.7E-5Ω*m \cdot \frac{12.7m}{0.74W \cdot 2 \cdot 0.65m²}}

Next Step Prepare to Evaluate

∴

V m = 920 \cdot \sqrt{1.7E-5 \cdot \frac{12.7}{0.74 \cdot 2 \cdot 0.65}}

Next Step Evaluate

∴

V m = 13.782455930497V

LAST Step Rounding Answer

∴

V m = 13.7825V

Maximum Voltage using Line Losses(DC 3-Wire) Formula Elements

Variables

Functions

Maximum Voltage Overhead DC

Maximum Voltage Overhead DC 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 Overhead DC

Power Transmitted

Power Transmitted is defined as the product of current and voltage phasor in a overhead dc line at the receiving end.

Symbol: P

Measurement: PowerUnit: W

Note: Value should be greater than 0.

Formulas to find Power Transmitted

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 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 Wire DC

Line Losses

Line Losses is defined as the total losses occurring in an Overhead DC line when in use.

Symbol: P_loss

Measurement: PowerUnit: W

Note: Value can be positive or negative.

Formulas to find Line Losses

Area of Overhead DC Wire

Area of Overhead DC Wire is defined as the cross-sectional area of the wire of an overhead DC supply system.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Overhead DC Wire

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 Overhead DC

Go Maximum Power using Load Current(DC 3-Wire)

V m = \frac{P}{2 \cdot I}

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

V m = \sqrt{\frac{(P^{2}) \cdot (0.3125) \cdot ρ \cdot (L^{2})}{V \cdot P loss}}

Go Maximum Power using Constant(DC 3-Wire)

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

Go Maximum Voltage using Area of X-Section(DC 3-Wire)

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

Other formulas in Current and Voltage category

Go Load Current(DC 3-Wire)

I = \frac{P t}{2 \cdot V m}

Go Load Current using Line Losses(DC 3-Wire)

I = \sqrt{\frac{P loss}{2 \cdot R}}

Go Load Current using Area of X-Section(DC 3-Wire)

I = \sqrt{A \cdot \frac{P loss}{ρ \cdot L}}

How to Evaluate Maximum Voltage using Line Losses(DC 3-Wire)?

Maximum Voltage using Line Losses(DC 3-Wire) evaluator uses Maximum Voltage Overhead DC = Power Transmitted*sqrt(Resistivity*Length of Wire DC/(Line Losses*2*Area of Overhead DC Wire)) to evaluate the Maximum Voltage Overhead DC, The Maximum Voltage using Line Losses(DC 3-wire) formula is defined as the absolute maximum rated supply voltage is the maximum voltage that can be supplied between the positive supply (VCC) and negative supply (VEE) pins without causing characteristics degradation or damage to the internal circuit. Maximum Voltage Overhead DC is denoted by V_m symbol.

How to evaluate Maximum Voltage using Line Losses(DC 3-Wire) using this online evaluator? To use this online evaluator for Maximum Voltage using Line Losses(DC 3-Wire), enter Power Transmitted (P), Resistivity (ρ), Length of Wire DC (L), Line Losses (P_loss) & Area of Overhead DC Wire (A) and hit the calculate button.

FAQs on Maximum Voltage using Line Losses(DC 3-Wire)

What is the formula to find Maximum Voltage using Line Losses(DC 3-Wire)?

The formula of Maximum Voltage using Line Losses(DC 3-Wire) is expressed as Maximum Voltage Overhead DC = Power Transmitted*sqrt(Resistivity*Length of Wire DC/(Line Losses*2*Area of Overhead DC Wire)). Here is an example- 13.78246 = 920*sqrt(1.7E-05*12.7/(0.74*2*0.65)).

How to calculate Maximum Voltage using Line Losses(DC 3-Wire)?

With Power Transmitted (P), Resistivity (ρ), Length of Wire DC (L), Line Losses (P_loss) & Area of Overhead DC Wire (A) we can find Maximum Voltage using Line Losses(DC 3-Wire) using the formula - Maximum Voltage Overhead DC = Power Transmitted*sqrt(Resistivity*Length of Wire DC/(Line Losses*2*Area of Overhead DC Wire)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Maximum Voltage Overhead DC?

Here are the different ways to Calculate Maximum Voltage Overhead DC-

Maximum Voltage Overhead DC=Power Transmitted/(2*Current Overhead DC)
Maximum Voltage Overhead DC=sqrt(((Power Transmitted^2)*(0.3125)*Resistivity*(Length of Wire DC^2))/(Volume of Conductor*Line Losses))
Maximum Voltage Overhead DC=sqrt(((Power Transmitted^2)*Resistivity*(Length of Wire DC^2))/(Constant Overhead DC*Line Losses))

Can the Maximum Voltage using Line Losses(DC 3-Wire) be negative?

Yes, the Maximum Voltage using Line Losses(DC 3-Wire), measured in Electric Potential can be negative.

Which unit is used to measure Maximum Voltage using Line Losses(DC 3-Wire)?

Maximum Voltage using Line Losses(DC 3-Wire) 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 3-Wire) can be measured.

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Maximum Voltage using Line Losses(DC 3-Wire) Formula

​GoMaximum Power using Load Current(DC 3-Wire) Formula

​GoMaximum Voltage using Volume of Conductor Material (DC 3-Wire) Formula

Maximum Voltage using Line Losses(DC 3-Wire) Example

Maximum Voltage using Line Losses(DC 3-Wire) Solution

Maximum Voltage using Line Losses(DC 3-Wire) Formula Elements

Other Formulas to find Maximum Voltage Overhead DC

Other formulas in Current and Voltage category

How to Evaluate Maximum Voltage using Line Losses(DC 3-Wire)?

FAQs on Maximum Voltage using Line Losses(DC 3-Wire)

Variable Name

GoMaximum Power using Load Current(DC 3-Wire) Formula

GoMaximum Voltage using Volume of Conductor Material (DC 3-Wire) Formula