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Load Current using Line Losses (Single-Phase Three-Wire OS) Formula

GoLoad Current(Single-Phase Three-Wire OS) Formula

GoLoad Current using Area of X-Section(Single-Phase Three-Wire OS) Formula

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Current Overhead AC is defined as the current flowing through the overhead ac supply wire. Check FAQs

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

I - Current Overhead AC?P_loss - Line Losses?A - Area of Overhead AC Wire?ρ - Resistivity?L - Length of Overhead AC Wire?

Load Current using Line Losses (Single-Phase Three-Wire OS) Example

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Here is how the Load Current using Line Losses (Single-Phase Three-Wire OS) equation looks like with Values.

Here is how the Load Current using Line Losses (Single-Phase Three-Wire OS) equation looks like with Units.

Here is how the Load Current using Line Losses (Single-Phase Three-Wire OS) equation looks like.

134.1243 = \sqrt{8.23 \cdot \frac{0.79}{2 \cdot 1.7E-5 \cdot 10.63}}

134.1243A = \sqrt{8.23W \cdot \frac{0.79m²}{2 \cdot 1.7E-5Ω*m \cdot 10.63m}}

134.1243 = \sqrt{8.23 \cdot \frac{0.79}{2 \cdot 1.7E-5 \cdot 10.63}}

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Load Current using Line Losses (Single-Phase Three-Wire OS) Solution

Follow our step by step solution on how to calculate Load Current using Line Losses (Single-Phase Three-Wire OS)?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

I = \sqrt{8.23W \cdot \frac{0.79m²}{2 \cdot 1.7E-5Ω*m \cdot 10.63m}}

Next Step Prepare to Evaluate

∴

I = \sqrt{8.23 \cdot \frac{0.79}{2 \cdot 1.7E-5 \cdot 10.63}}

Next Step Evaluate

∴

I = 134.12427037945A

LAST Step Rounding Answer

∴

I = 134.1243A

Load Current using Line Losses (Single-Phase Three-Wire OS) Formula Elements

Variables

Functions

Current Overhead AC

Current Overhead AC is defined as the current flowing through the overhead ac supply wire.

Symbol: I

Measurement: Electric CurrentUnit: A

Note: Value can be positive or negative.

Formulas to find Current Overhead AC

Line Losses

Line Losses is defined as the total losses occurring in an Overhead AC 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 AC Wire

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

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Overhead AC Wire

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 Overhead AC Wire

Length of Overhead AC Wire 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 Overhead AC 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 Current Overhead AC

Go Load Current(Single-Phase Three-Wire OS)

I = \frac{P}{V m \cdot \cos (Φ) \cdot \sqrt{2}}

Go Load Current using Area of X-Section(Single-Phase Three-Wire OS)

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

Other formulas in Current and Voltage category

Go Maximum Voltage(Single-Phase Three-Wire OS)

V m = (2) \cdot V ac

Go Maximum Voltage using Area of X-Section(Single-Phase Three-Wire OS)

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

Go RMS Voltage using Area of X-Section(Single-Phase Three-Wire OS)

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

Go Maximum Voltage using Load Current (Single-Phase Three-Wire OS)

V m = \frac{P}{\sqrt{2} \cdot \cos (Φ)}

How to Evaluate Load Current using Line Losses (Single-Phase Three-Wire OS)?

Load Current using Line Losses (Single-Phase Three-Wire OS) evaluator uses Current Overhead AC = sqrt(Line Losses*Area of Overhead AC Wire/(2*Resistivity*Length of Overhead AC Wire)) to evaluate the Current Overhead AC, The Load Current using Line Losses (single-Phase three-Wire OS) formula is defined as the current that flows into the load of the one-phase three-wire overhead system. Current Overhead AC is denoted by I symbol.

How to evaluate Load Current using Line Losses (Single-Phase Three-Wire OS) using this online evaluator? To use this online evaluator for Load Current using Line Losses (Single-Phase Three-Wire OS), enter Line Losses (P_loss), Area of Overhead AC Wire (A), Resistivity (ρ) & Length of Overhead AC Wire (L) and hit the calculate button.

FAQs on Load Current using Line Losses (Single-Phase Three-Wire OS)

What is the formula to find Load Current using Line Losses (Single-Phase Three-Wire OS)?

The formula of Load Current using Line Losses (Single-Phase Three-Wire OS) is expressed as Current Overhead AC = sqrt(Line Losses*Area of Overhead AC Wire/(2*Resistivity*Length of Overhead AC Wire)). Here is an example- 134.1243 = sqrt(8.23*0.79/(2*1.7E-05*10.63)).

How to calculate Load Current using Line Losses (Single-Phase Three-Wire OS)?

With Line Losses (P_loss), Area of Overhead AC Wire (A), Resistivity (ρ) & Length of Overhead AC Wire (L) we can find Load Current using Line Losses (Single-Phase Three-Wire OS) using the formula - Current Overhead AC = sqrt(Line Losses*Area of Overhead AC Wire/(2*Resistivity*Length of Overhead AC Wire)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Current Overhead AC?

Here are the different ways to Calculate Current Overhead AC-

Current Overhead AC=Power Transmitted/(Maximum Voltage Overhead AC*cos(Phase Difference)*sqrt(2))
Current Overhead AC=sqrt(Area of Overhead AC Wire*Line Losses/(2*Resistivity*Length of Overhead AC Wire))

Can the Load Current using Line Losses (Single-Phase Three-Wire OS) be negative?

Yes, the Load Current using Line Losses (Single-Phase Three-Wire OS), measured in Electric Current can be negative.

Which unit is used to measure Load Current using Line Losses (Single-Phase Three-Wire OS)?

Load Current using Line Losses (Single-Phase Three-Wire OS) is usually measured using the Ampere[A] for Electric Current. Milliampere[A], Microampere[A], Centiampere[A] are the few other units in which Load Current using Line Losses (Single-Phase Three-Wire OS) can be measured.

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Load Current using Line Losses (Single-Phase Three-Wire OS) Formula

​GoLoad Current(Single-Phase Three-Wire OS) Formula

​GoLoad Current using Area of X-Section(Single-Phase Three-Wire OS) Formula

Load Current using Line Losses (Single-Phase Three-Wire OS) Example

Load Current using Line Losses (Single-Phase Three-Wire OS) Solution

Load Current using Line Losses (Single-Phase Three-Wire OS) Formula Elements

Other Formulas to find Current Overhead AC

Other formulas in Current and Voltage category

How to Evaluate Load Current using Line Losses (Single-Phase Three-Wire OS)?

FAQs on Load Current using Line Losses (Single-Phase Three-Wire OS)

Variable Name

GoLoad Current(Single-Phase Three-Wire OS) Formula

GoLoad Current using Area of X-Section(Single-Phase Three-Wire OS) Formula