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Length of Wire using K(Two-Wire One Conductor Earthed) Formula

GoLength of Wire using Resistance(Two-Wire One Conductor Earthed) Formula

GoLength of Line using Line Losses(Two-Wire One Conductor Earthed) Formula

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Length of Wire DC is the total length of the wire from one end to other end. Check FAQs

L = \sqrt{K \cdot P loss \cdot \frac{{V m}^{2}}{4 \cdot ρ \cdot (P^{2})}}

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

Length of Wire using K(Two-Wire One Conductor Earthed) Example

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Here is how the Length of Wire using K(Two-Wire One Conductor Earthed) equation looks like with Values.

Here is how the Length of Wire using K(Two-Wire One Conductor Earthed) equation looks like with Units.

Here is how the Length of Wire using K(Two-Wire One Conductor Earthed) equation looks like.

18.0781 = \sqrt{7 \cdot 0.74 \cdot \frac{{60.26}^{2}}{4 \cdot 1.7E-5 \cdot (920^{2})}}

18.0781m = \sqrt{7 \cdot 0.74W \cdot \frac{{60.26V}^{2}}{4 \cdot 1.7E-5Ω*m \cdot ({920W}^{2})}}

18.0781 = \sqrt{7 \cdot 0.74 \cdot \frac{{60.26}^{2}}{4 \cdot 1.7E-5 \cdot (920^{2})}}

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Length of Wire using K(Two-Wire One Conductor Earthed) Solution

Follow our step by step solution on how to calculate Length of Wire using K(Two-Wire One Conductor Earthed)?

FIRST Step Consider the formula

L = \sqrt{K \cdot P loss \cdot \frac{{V m}^{2}}{4 \cdot ρ \cdot (P^{2})}}

Next Step Substitute values of Variables

∴

L = \sqrt{7 \cdot 0.74W \cdot \frac{{60.26V}^{2}}{4 \cdot 1.7E-5Ω*m \cdot ({920W}^{2})}}

Next Step Prepare to Evaluate

∴

L = \sqrt{7 \cdot 0.74 \cdot \frac{{60.26}^{2}}{4 \cdot 1.7E-5 \cdot (920^{2})}}

Next Step Evaluate

∴

L = 18.078055839641m

LAST Step Rounding Answer

∴

L = 18.0781m

Length of Wire using K(Two-Wire One Conductor Earthed) Formula Elements

Variables

Functions

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

Constant Overhead DC

Constant Overhead DC 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 Overhead 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

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

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 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

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 Length of Wire DC

Go Length of Wire using Resistance(Two-Wire One Conductor Earthed)

L = \frac{R \cdot A}{ρ}

Go Length of Line using Line Losses(Two-Wire One Conductor Earthed)

L = P loss \cdot \frac{A}{2 \cdot (I^{2}) \cdot ρ}

Go Length of Line using Area of X-Section(Two-Wire One Conductor Earthed)

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

Other formulas in Wire Parameters category

Go Area of X-Section using Resistance(Two-Wire One Conductor Earthed)

A = ρ \cdot \frac{L}{R}

Go Line Losses(Two-Wire One Conductor Earthed)

P loss = 2 \cdot (I^{2}) \cdot R

Go Area of X-Section using Line Losses(Two-Wire One Conductor Earthed)

A = 2 \cdot (I^{2}) \cdot ρ \cdot \frac{L}{P loss}

Go Volume of Conductor Material(Two-Wire One Conductor Earthed)

V = 2 \cdot A \cdot L

How to Evaluate Length of Wire using K(Two-Wire One Conductor Earthed)?

Length of Wire using K(Two-Wire One Conductor Earthed) evaluator uses Length of Wire DC = sqrt(Constant Overhead DC*Line Losses*(Maximum Voltage Overhead DC^2)/(4*Resistivity*(Power Transmitted^2))) to evaluate the Length of Wire DC, The Length of Wire using K(Two-Wire One Conductor Earthed) formula is defined as the length of the wire used in the Two-Wire One Conductor Earthed system. Length of Wire DC is denoted by L symbol.

How to evaluate Length of Wire using K(Two-Wire One Conductor Earthed) using this online evaluator? To use this online evaluator for Length of Wire using K(Two-Wire One Conductor Earthed), enter Constant Overhead DC (K), Line Losses (P_loss), Maximum Voltage Overhead DC (V_m), Resistivity (ρ) & Power Transmitted (P) and hit the calculate button.

FAQs on Length of Wire using K(Two-Wire One Conductor Earthed)

What is the formula to find Length of Wire using K(Two-Wire One Conductor Earthed)?

The formula of Length of Wire using K(Two-Wire One Conductor Earthed) is expressed as Length of Wire DC = sqrt(Constant Overhead DC*Line Losses*(Maximum Voltage Overhead DC^2)/(4*Resistivity*(Power Transmitted^2))). Here is an example- 18.07806 = sqrt(7*0.74*(60.26^2)/(4*1.7E-05*(920^2))).

How to calculate Length of Wire using K(Two-Wire One Conductor Earthed)?

With Constant Overhead DC (K), Line Losses (P_loss), Maximum Voltage Overhead DC (V_m), Resistivity (ρ) & Power Transmitted (P) we can find Length of Wire using K(Two-Wire One Conductor Earthed) using the formula - Length of Wire DC = sqrt(Constant Overhead DC*Line Losses*(Maximum Voltage Overhead DC^2)/(4*Resistivity*(Power Transmitted^2))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Length of Wire DC?

Here are the different ways to Calculate Length of Wire DC-

Length of Wire DC=(Resistance Overhead DC*Area of Overhead DC Wire)/Resistivity
Length of Wire DC=Line Losses*Area of Overhead DC Wire/(2*(Current Overhead DC^2)*Resistivity)
Length of Wire DC=Area of Overhead DC Wire*(Maximum Voltage Overhead DC^2)*Line Losses/(Resistivity*(Power Transmitted^2)*2)

Can the Length of Wire using K(Two-Wire One Conductor Earthed) be negative?

No, the Length of Wire using K(Two-Wire One Conductor Earthed), measured in Length cannot be negative.

Which unit is used to measure Length of Wire using K(Two-Wire One Conductor Earthed)?

Length of Wire using K(Two-Wire One Conductor Earthed) is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Length of Wire using K(Two-Wire One Conductor Earthed) can be measured.

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Length of Wire using K(Two-Wire One Conductor Earthed) Formula

​GoLength of Wire using Resistance(Two-Wire One Conductor Earthed) Formula

​GoLength of Line using Line Losses(Two-Wire One Conductor Earthed) Formula

Length of Wire using K(Two-Wire One Conductor Earthed) Example

Length of Wire using K(Two-Wire One Conductor Earthed) Solution

Length of Wire using K(Two-Wire One Conductor Earthed) Formula Elements

Other Formulas to find Length of Wire DC

Other formulas in Wire Parameters category

How to Evaluate Length of Wire using K(Two-Wire One Conductor Earthed)?

FAQs on Length of Wire using K(Two-Wire One Conductor Earthed)

Variable Name

GoLength of Wire using Resistance(Two-Wire One Conductor Earthed) Formula

GoLength of Line using Line Losses(Two-Wire One Conductor Earthed) Formula