Length of Wire using Resistance (3-Phase 4-Wire OS) Solution

STEP 0: Pre-Calculation Summary
Formula Used
Length of Overhead AC Wire = (Resistance Overhead AC*Area of Overhead AC Wire)/Resistivity
L = (R*A)/ρ
This formula uses 4 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.
Resistance Overhead AC - (Measured in Ohm) - Resistance Overhead AC is defined as the property of the wire or line that opposes the flow of current through it.
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.
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
Resistance Overhead AC: 0.0028 Ohm --> 0.0028 Ohm No Conversion Required
Area of Overhead AC Wire: 0.79 Square Meter --> 0.79 Square Meter 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 = (R*A)/ρ --> (0.0028*0.79)/1.7E-05
Evaluating ... ...
L = 130.117647058824
STEP 3: Convert Result to Output's Unit
130.117647058824 Meter --> No Conversion Required
FINAL ANSWER
130.117647058824 130.1176 Meter <-- Length of Overhead AC Wire
(Calculation completed in 00.004 seconds)

Credits

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Vishwakarma Government Engineering College (VGEC), Ahmedabad
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13 Wire Parameters Calculators

Line Losses using Area of X-Section(3-Phase 4-Wire OS)
Go Line Losses = (2*Length of Overhead AC Wire*Resistivity*(Power Transmitted^2))/(3*Area of Overhead AC Wire*(Maximum Voltage Overhead AC^2)*((cos(Phase Difference))^2))
Length of Wire using Area of X-Section(3-Phase 4-Wire OS)
Go Length of Overhead AC Wire = 3*Area of Overhead AC Wire*(Maximum Voltage Overhead AC^2)*Line Losses*((cos(Phase Difference))^2)/(2*Resistivity*(Power Transmitted^2))
Area of X-Section(3-Phase 4-Wire OS)
Go Area of Overhead AC Wire = 2*(Power Transmitted^2)*Resistivity*Length of Overhead AC Wire/(((cos(Phase Difference))^2)*Line Losses*3*(Maximum Voltage Overhead AC^2))
Line Losses using Volume of Conductor Material (3-Phase 4-Wire OS)
Go Line Losses = 7*(Power Transmitted)^2*Resistivity*(Length of Overhead AC Wire)^2/(3*(Maximum Voltage Overhead AC*cos(Phase Difference))^2*Volume of Conductor)
Length using Volume of Conductor Material (3-Phase 4-Wire OS)
Go Length of Overhead AC Wire = 3*Volume of Conductor*Line Losses*(cos(Phase Difference)*Maximum Voltage Overhead AC)^2/(7*Resistivity*(Power Transmitted^2))
Constant(3-Phase 4-Wire OS)
Go Constant Overhead AC = (4*(Power Transmitted^2)*Resistivity*(Length of Overhead AC Wire^2))/(Line Losses*(Maximum Voltage Overhead AC^2))
Length of Wire using Resistance (3-Phase 4-Wire OS)
Go Length of Overhead AC Wire = (Resistance Overhead AC*Area of Overhead AC Wire)/Resistivity
Area of X-Section using Resistance (3-Phase 4-Wire OS)
Go Area of Overhead AC Wire = Resistivity*Length of Overhead AC Wire/Resistance Overhead AC
Constant using Volume of Conductor Material (3-Phase 4-Wire OS)
Go Constant Overhead AC = Volume of Conductor*(cos(Phase Difference))^2/(0.583)
Volume of Conductor Material using Constant(3-Phase 4-Wire OS)
Go Volume of Conductor = 7*Constant Overhead AC/(12*(cos(Phase Difference)^2))
Area of X-section using Volume of Conductor Material (3-Phase 4-Wire OS)
Go Area of Overhead AC Wire = Volume of Conductor/((3.5)*Length of Overhead AC Wire)
Volume of Conductor Material(3-Phase 4-Wire OS)
Go Volume of Conductor = (3.5)*Area of Overhead AC Wire*Length of Overhead AC Wire
Line Losses(3-Phase 4-Wire OS)
Go Line Losses = (3)*((Current Overhead AC)^2)*Resistance Overhead AC

Length of Wire using Resistance (3-Phase 4-Wire OS) Formula

Length of Overhead AC Wire = (Resistance Overhead AC*Area of Overhead AC Wire)/Resistivity
L = (R*A)/ρ

Why do we use 3 phase 4 wire?

The function of neutral wire in the 3 phase 4 wire system is to serve as a return wire for the general domestic supply system. The neutral is paired to each of the single-phase loads.

How to Calculate Length of Wire using Resistance (3-Phase 4-Wire OS)?

Length of Wire using Resistance (3-Phase 4-Wire OS) calculator uses Length of Overhead AC Wire = (Resistance Overhead AC*Area of Overhead AC Wire)/Resistivity to calculate the Length of Overhead AC Wire, The Length of Wire using Resistance (3-phase 4-wire OS) formula is defined as the total length of the wire that used in the three-phase four-wire system. Length of Overhead AC Wire is denoted by L symbol.

How to calculate Length of Wire using Resistance (3-Phase 4-Wire OS) using this online calculator? To use this online calculator for Length of Wire using Resistance (3-Phase 4-Wire OS), enter Resistance Overhead AC (R), Area of Overhead AC Wire (A) & Resistivity (ρ) and hit the calculate button. Here is how the Length of Wire using Resistance (3-Phase 4-Wire OS) calculation can be explained with given input values -> 130.1176 = (0.0028*0.79)/1.7E-05.

FAQ

What is Length of Wire using Resistance (3-Phase 4-Wire OS)?
The Length of Wire using Resistance (3-phase 4-wire OS) formula is defined as the total length of the wire that used in the three-phase four-wire system and is represented as L = (R*A)/ρ or Length of Overhead AC Wire = (Resistance Overhead AC*Area of Overhead AC Wire)/Resistivity. Resistance Overhead AC is defined as the property of the wire or line that opposes the flow of current through it, Area of Overhead AC Wire is defined as the cross-sectional area of the wire of an AC supply system & Resistivity is the measure of how strongly a material opposes the flow of current through them.
How to calculate Length of Wire using Resistance (3-Phase 4-Wire OS)?
The Length of Wire using Resistance (3-phase 4-wire OS) formula is defined as the total length of the wire that used in the three-phase four-wire system is calculated using Length of Overhead AC Wire = (Resistance Overhead AC*Area of Overhead AC Wire)/Resistivity. To calculate Length of Wire using Resistance (3-Phase 4-Wire OS), you need Resistance Overhead AC (R), Area of Overhead AC Wire (A) & Resistivity (ρ). With our tool, you need to enter the respective value for Resistance Overhead AC, Area of Overhead AC Wire & 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 Resistance Overhead AC, Area of Overhead AC Wire & Resistivity. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Length of Overhead AC Wire = 3*Area of Overhead AC Wire*(Maximum Voltage Overhead AC^2)*Line Losses*((cos(Phase Difference))^2)/(2*Resistivity*(Power Transmitted^2))
  • Length of Overhead AC Wire = 3*Volume of Conductor*Line Losses*(cos(Phase Difference)*Maximum Voltage Overhead AC)^2/(7*Resistivity*(Power Transmitted^2))
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