Length using Load Current (Single-Phase Three-Wire 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 Three-Wire OS) [L]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Power System Formula PDF PDF Image

Length using Load Current (Single-Phase Three-Wire 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 00.008 seconds)

You are here -

Home » Engineering » Electrical » Power System » Overhead AC Supply » 1 Φ 3 Wire System » Wire Parameters » Length using Load Current (Single-Phase Three-Wire OS)

Credits

Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

Urvi Rathod has created this Calculator and 1500+ more calculators!

Verified by Kethavath Srinath

Osmania University (OU), Hyderabad

Kethavath Srinath has verified this Calculator and 1200+ more calculators!

< Wire Parameters Calculators

Area of X-Section(Single-Phase Three-Wire OS)

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

Constant(Single-Phase Three-Wire OS)

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

Volume of Conductor Material(Single-Phase Three-Wire OS)

LaTeX Go Volume of Conductor = (2.5)*Area of Overhead AC Wire*Length of Overhead AC Wire

Line Losses(Single-Phase Three-Wire OS)

LaTeX Go Line Losses = (2)*((Current Overhead AC)^2)*Resistance Overhead AC

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

LaTeX Go

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 1-phase 3-wire system?

The volume of conductor material required in this system is 5/8cos²θ 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 √2/v_m.

How to Calculate Length using Load Current (Single-Phase Three-Wire OS)?

Length using Load Current (Single-Phase Three-Wire 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 three-Wire OS) formula is defined as the total length of the wire that used in the single-phase three-wire system. Length of Overhead AC Wire is denoted by L symbol.

How to calculate Length using Load Current (Single-Phase Three-Wire OS) using this online calculator? To use this online calculator for Length using Load Current (Single-Phase Three-Wire 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 Three-Wire 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 Three-Wire OS)?

The Length using Load Current (single-Phase three-Wire OS) formula is defined as the total length of the wire that used in the single-phase three-wire 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 Three-Wire OS)?

The Length using Load Current (single-Phase three-Wire OS) formula is defined as the total length of the wire that used in the single-phase three-wire 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 Three-Wire 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 3 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))
Length of Overhead AC Wire = Line Losses*Area of Overhead AC Wire*(Maximum Voltage Overhead AC*cos(Phase Difference))^2/((Power Transmitted^2)*Resistivity)
Length of Overhead AC Wire = sqrt(Volume of Conductor*Line Losses*(cos(Phase Difference)*Maximum Voltage Overhead AC)^2/((2.5)*Resistivity*(Power Transmitted^2)))

Home

FREE PDFs

🔍 Search