Length using Line Losses (1 Phase 3 Wire US) Calculator

✖Area of Underground AC Wire is defined as the cross-sectional area of the wire of an AC supply system.ⓘ Area of Underground AC Wire [A]			+10% -10%
✖Line Losses is defined as the total losses occurring in an Underground AC line when in use.ⓘ Line Losses [P_loss]			+10% -10%
✖Current Underground AC is defined as the current flowing through the overhead ac supply wire.ⓘ Current Underground 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 Underground AC Wire is the total length of the wire from one end to other end.ⓘ Length using Line Losses (1 Phase 3 Wire US) [L]

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Formula

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Length using Line Losses (1 Phase 3 Wire US)

Formula

`"L" = "A"*"P"_{"loss"}/(2*"I"*"ρ")`

Example

`"11168.63m"="1.28m²"*"2.67W"/(2*"9A"*"0.000017Ω*m")`

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Length using Line Losses (1 Phase 3 Wire US) Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Length of Underground AC Wire - (Measured in Meter) - Length of Underground AC Wire is the total length of the wire from one end to other end.
Area of Underground AC Wire - (Measured in Square Meter) - Area of Underground AC Wire is defined as the cross-sectional area of the wire of an AC supply system.
Line Losses - (Measured in Watt) - Line Losses is defined as the total losses occurring in an Underground AC line when in use.
Current Underground AC - (Measured in Ampere) - Current Underground 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

Area of Underground AC Wire: 1.28 Square Meter --> 1.28 Square Meter No Conversion Required
Line Losses: 2.67 Watt --> 2.67 Watt No Conversion Required
Current Underground AC: 9 Ampere --> 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 = A*P_loss/(2*I*ρ) --> 1.28*2.67/(2*9*1.7E-05)

Evaluating ... ...

L = 11168.6274509804

STEP 3: Convert Result to Output's Unit

11168.6274509804 Meter --> No Conversion Required

FINAL ANSWER

11168.6274509804 ≈ 11168.63 Meter <-- Length of Underground AC Wire

(Calculation completed in 00.004 seconds)

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< 14 Wire Parameters Calculators

Volume of Conductor Material using Resistance (1 Phase 3 Wire US)

Go Volume Of Conductor = (10*(Power Transmitted^2)*Resistance Underground AC*Area of Underground AC Wire*Length of Underground AC Wire)/(Line Losses*(Maximum Voltage Underground AC^2)*(cos(Phase Difference)^2))

Angle of PF using Volume of Conductor Material(1 Phase 3 Wire US)

Go Phase Difference = acos(sqrt(10*Resistivity*((Power Transmitted*Length of Underground AC Wire)^2)/(Line Losses*Volume Of Conductor*((Maximum Voltage Underground AC)^2))))

Length using Volume of Conductor Material(1 Phase 3 Wire US)

Go Length of Underground AC Wire = sqrt(Volume Of Conductor*Line Losses*(cos(Phase Difference)*Maximum Voltage Underground AC)^2/((10)*Resistivity*(Power Transmitted^2)))

Angle using Area of X Section (1 Phase 3 Wire US)

Go Phase Difference = acos((2*Power Transmitted/Maximum Voltage Underground AC)*sqrt(Resistivity*Length of Underground AC Wire/(Line Losses*Area of Underground AC Wire)))

Length using Area of X Section (1 Phase 3 Wire US)

Go Length of Underground AC Wire = Area of Underground AC Wire*Line Losses*(Maximum Voltage Underground AC^2)*(cos(Phase Difference)^2)/(4*(Power Transmitted^2)*Resistivity)

Line Losses using Area of X Section (1 Phase 3 Wire US)

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

Volume of Conductor Material(1 Phase 3 Wire US)

Go Volume Of Conductor = 10*(Power Transmitted^2)*Resistivity*(Length of Underground AC Wire^2)/(Line Losses*(Maximum Voltage Underground AC^2)*(cos(Phase Difference)^2))

Line Losses using Volume of Conductor Material(1 Phase 3 Wire US)

Go Line Losses = 10*Resistivity*((Power Transmitted*Length of Underground AC Wire)^2)/(Volume Of Conductor*((Maximum Voltage Underground AC*cos(Phase Difference))^2))

Area of X-Section using Line Losses (1 Phase 3 Wire US)

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

Length using Line Losses (1 Phase 3 Wire US)

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

Volume of Conductor Material using Load Current(1 Phase 3 Wire US)

Go Volume Of Conductor = 5*Resistivity*(Length of Underground AC Wire^2)*(Current Underground AC^2)/Line Losses

Constant using Volume of Conductor Material(1 Phase 3 Wire US)

Go Constant Underground AC = Volume Of Conductor*(cos(Phase Difference)^2)/(2.5)

Volume of Conductor Material using Constant(1 Phase 3 Wire US)

Go Volume Of Conductor = 2.5*Constant Underground AC/(cos(Phase Difference)^2)

Volume of Conductor Material using Area and Length (1 Phase 3 Wire US)

Go Volume Of Conductor = Area of Underground AC Wire*Length of Underground AC Wire*2.5

Length using Line Losses (1 Phase 3 Wire US) Formula

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

Does resistivity change with length?

Resistivity is an intrinsic property of any material. It stays the same, no matter how long or thick your conductor is. Temperature coefficient*original resistivity*change in temperature. So there is no change with length in resistivity but resistance changes in direct proportion with the length of the conductor.

How to Calculate Length using Line Losses (1 Phase 3 Wire US)?

Length using Line Losses (1 Phase 3 Wire US) calculator uses Length of Underground AC Wire = Area of Underground AC Wire*Line Losses/(2*Current Underground AC*Resistivity) to calculate the Length of Underground AC Wire, The Length using Line Losses (1 phase 3 wire US) formula is defined as the total length of the wire that used in the single-phase three-wire system. Length of Underground AC Wire is denoted by L symbol.

How to calculate Length using Line Losses (1 Phase 3 Wire US) using this online calculator? To use this online calculator for Length using Line Losses (1 Phase 3 Wire US), enter Area of Underground AC Wire (A), Line Losses (P_loss), Current Underground AC (I) & Resistivity (ρ) and hit the calculate button. Here is how the Length using Line Losses (1 Phase 3 Wire US) calculation can be explained with given input values -> 11168.63 = 1.28*2.67/(2*9*1.7E-05).

FAQ

What is Length using Line Losses (1 Phase 3 Wire US)?

The Length using Line Losses (1 phase 3 wire US) formula is defined as the total length of the wire that used in the single-phase three-wire system and is represented as L = A*P_loss/(2*I*ρ) or Length of Underground AC Wire = Area of Underground AC Wire*Line Losses/(2*Current Underground AC*Resistivity). Area of Underground AC Wire is defined as the cross-sectional area of the wire of an AC supply system, Line Losses is defined as the total losses occurring in an Underground AC line when in use, Current Underground 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 Line Losses (1 Phase 3 Wire US)?

The Length using Line Losses (1 phase 3 wire US) formula is defined as the total length of the wire that used in the single-phase three-wire system is calculated using Length of Underground AC Wire = Area of Underground AC Wire*Line Losses/(2*Current Underground AC*Resistivity). To calculate Length using Line Losses (1 Phase 3 Wire US), you need Area of Underground AC Wire (A), Line Losses (P_loss), Current Underground AC (I) & Resistivity (ρ). With our tool, you need to enter the respective value for Area of Underground AC Wire, Line Losses, Current Underground 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 Underground AC Wire?

In this formula, Length of Underground AC Wire uses Area of Underground AC Wire, Line Losses, Current Underground AC & Resistivity. We can use 2 other way(s) to calculate the same, which is/are as follows -

Length of Underground AC Wire = sqrt(Volume Of Conductor*Line Losses*(cos(Phase Difference)*Maximum Voltage Underground AC)^2/((10)*Resistivity*(Power Transmitted^2)))
Length of Underground AC Wire = Area of Underground AC Wire*Line Losses*(Maximum Voltage Underground AC^2)*(cos(Phase Difference)^2)/(4*(Power Transmitted^2)*Resistivity)

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