Length using Load Current (Single Phase Two-Wire Mid-Point OS) Calculator

✖Line Losses is defined as the total losses occurring in an Overhead AC line when in use.ⓘ Line Losses [P_loss]			+10% -10%
✖Area of Overhead AC Wire is defined as the cross-sectional area of the wire of an AC supply system.ⓘ Area of Overhead AC Wire [A]			+10% -10%
✖Current Overhead AC is defined as the current flowing through the overhead ac supply wire.ⓘ Current Overhead AC [I]			+10% -10%
✖Resistivity is the measure of how strongly a material opposes the flow of current through them.ⓘ Resistivity [ρ]			+10% -10%

✖Length of Overhead AC Wire is the total length of the wire from one end to other end.ⓘ Length using Load Current (Single Phase Two-Wire Mid-Point OS) [L]

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Formula

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Length using Load Current (Single Phase Two-Wire Mid-Point OS)

Formula

`"L" = ("P"_{"loss"}*"A")/(2*("I")^2*"ρ")`

Example

`"4016.519m"=("8.23W"*"0.79m²")/(2*("6.9A")^2*"0.000017Ω*m")`

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Length using Load Current (Single Phase Two-Wire Mid-Point OS) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Overhead AC Wire = (Line Losses*Area of Overhead AC Wire)/(2*(Current Overhead AC)^2*Resistivity)
L = (P_loss*A)/(2*(I)^2*ρ)
This formula uses 5 Variables

Variables Used

Length of Overhead AC Wire - (Measured in Meter) - Length of Overhead AC Wire is the total length of the wire from one end to other end.
Line Losses - (Measured in Watt) - Line Losses is defined as the total losses occurring in an Overhead AC line when in use.
Area of Overhead AC Wire - (Measured in Square Meter) - Area of Overhead AC Wire is defined as the cross-sectional area of the wire of an AC supply system.
Current Overhead AC - (Measured in Ampere) - Current Overhead AC is defined as the current flowing through the overhead ac supply wire.
Resistivity - (Measured in Ohm Meter) - Resistivity is the measure of how strongly a material opposes the flow of current through them.

STEP 1: Convert Input(s) to Base Unit

Line Losses: 8.23 Watt --> 8.23 Watt No Conversion Required
Area of Overhead AC Wire: 0.79 Square Meter --> 0.79 Square Meter No Conversion Required
Current Overhead AC: 6.9 Ampere --> 6.9 Ampere No Conversion Required
Resistivity: 1.7E-05 Ohm Meter --> 1.7E-05 Ohm Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L = (P_loss*A)/(2*(I)^2*ρ) --> (8.23*0.79)/(2*(6.9)^2*1.7E-05)

Evaluating ... ...

L = 4016.51902096692

STEP 3: Convert Result to Output's Unit

4016.51902096692 Meter --> No Conversion Required

FINAL ANSWER

4016.51902096692 ≈ 4016.519 Meter <-- Length of Overhead AC Wire

(Calculation completed in 00.007 seconds)

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< 12 Wire Parameters Calculators

Length of Wire using Area of X-Section(Single Phase Two Wire Mid-Point Earthed OS)

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

Line Losses using Area of X-Section(Single Phase Two Wire Mid-Point Earthed OS)

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

Area of X-Section using Line Losses (Single Phase Two Wire Mid-Point OS)

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

Volume of Conductor Material using Line Losses (Single Phase Two Wire Mid-Point OS)

Go Volume of Conductor = (2*Resistivity*Power Transmitted^2*Length of Overhead AC Wire^2)/(Line Losses*Maximum Voltage Overhead AC*cos(Phase Difference)^2)

Area of X-Section(Single Phase Two Wire Mid-Point Earthed)

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

Constant using Load Current (Single Phase Two Wire Mid-Point OS)

Go Constant Overhead AC = (8*Current Overhead AC^2*cos(Phase Difference)^2*Resistivity*Length of Overhead AC Wire^2)/Line Losses

Constant using Line Losses (Single Phase Two Wire Mid-Point OS)

Go Constant Overhead AC = (4*Resistivity*Power Transmitted^2*Length of Overhead AC Wire^2)/(Line Losses*Maximum Voltage Overhead AC^2)

Constant (Single Phase Two Wire Mid-Point Earthed)

Go Constant Overhead AC = (4*Power Transmitted^2*Resistivity*Length of Overhead AC Wire)/(Line Losses*Voltage Overhead AC^2)

Length using Load Current (Single Phase Two-Wire Mid-Point OS)

Go Length of Overhead AC Wire = (Line Losses*Area of Overhead AC Wire)/(2*(Current Overhead AC)^2*Resistivity)

Volume of Conductor Material using Load Current (Single Phase Two Wire Mid-Point OS)

Go Volume of Conductor = (4*(Current Overhead AC^2)*Resistivity*(Length of Overhead AC Wire^2))/(Line Losses)

Area of X-Section using Load Current (Single Phase Two Wire Mid-Point OS)

Go Area of Overhead AC Wire = (2*Current Overhead AC^2*Resistivity*Length of Overhead AC Wire)/(Line Losses)

Line Losses using Load Current (Single Phase Two Wire Mid-Point OS)

Go Line Losses = 2*Current Overhead AC^2*Resistance Overhead AC

Length using Load Current (Single Phase Two-Wire Mid-Point OS) Formula

Length of Overhead AC Wire = (Line Losses*Area of Overhead AC Wire)/(2*(Current Overhead AC)^2*Resistivity)
L = (P_loss*A)/(2*(I)^2*ρ)

What is the value of maximum voltage and volume of conductor material in this system?

The volume of conductor material required in this system is 1/2cos²θ times that of 2-wire d.c.system with the one conductor earthed. The maximum voltage between conductors is 2v_m so that r.m.s. value of voltage between them is √2v_m.

How to Calculate Length using Load Current (Single Phase Two-Wire Mid-Point OS)?

Length using Load Current (Single Phase Two-Wire Mid-Point OS) calculator uses Length of Overhead AC Wire = (Line Losses*Area of Overhead AC Wire)/(2*(Current Overhead AC)^2*Resistivity) to calculate the Length of Overhead AC Wire, The Length using Load Current (single Phase two-Wire Mid-Point OS) formula is defined as the total length of the wire that used in the single-phase two-wire mid-point earthed system. Length of Overhead AC Wire is denoted by L symbol.

How to calculate Length using Load Current (Single Phase Two-Wire Mid-Point OS) using this online calculator? To use this online calculator for Length using Load Current (Single Phase Two-Wire Mid-Point OS), enter Line Losses (P_loss), Area of Overhead AC Wire (A), Current Overhead AC (I) & Resistivity (ρ) and hit the calculate button. Here is how the Length using Load Current (Single Phase Two-Wire Mid-Point OS) calculation can be explained with given input values -> 4016.519 = (8.23*0.79)/(2*(6.9)^2*1.7E-05).

FAQ

What is Length using Load Current (Single Phase Two-Wire Mid-Point OS)?

The Length using Load Current (single Phase two-Wire Mid-Point OS) formula is defined as the total length of the wire that used in the single-phase two-wire mid-point earthed system and is represented as L = (P_loss*A)/(2*(I)^2*ρ) or Length of Overhead AC Wire = (Line Losses*Area of Overhead AC Wire)/(2*(Current Overhead AC)^2*Resistivity). Line Losses is defined as the total losses occurring in an Overhead AC line when in use, Area of Overhead AC Wire is defined as the cross-sectional area of the wire of an AC supply system, Current Overhead AC is defined as the current flowing through the overhead ac supply wire & Resistivity is the measure of how strongly a material opposes the flow of current through them.

How to calculate Length using Load Current (Single Phase Two-Wire Mid-Point OS)?

The Length using Load Current (single Phase two-Wire Mid-Point OS) formula is defined as the total length of the wire that used in the single-phase two-wire mid-point earthed system is calculated using Length of Overhead AC Wire = (Line Losses*Area of Overhead AC Wire)/(2*(Current Overhead AC)^2*Resistivity). To calculate Length using Load Current (Single Phase Two-Wire Mid-Point OS), you need Line Losses (P_loss), Area of Overhead AC Wire (A), Current Overhead AC (I) & Resistivity (ρ). With our tool, you need to enter the respective value for Line Losses, Area of Overhead AC Wire, Current Overhead AC & Resistivity and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Length of Overhead AC Wire?

In this formula, Length of Overhead AC Wire uses Line Losses, Area of Overhead AC Wire, Current Overhead AC & Resistivity. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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