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

✖Volume of Conductor is the total volume of the material used to make the conductor of an overhead ac line.ⓘ Volume of Conductor [V]			+10% -10%
✖Line Losses is defined as the total losses occurring in an Overhead AC line when in use.ⓘ Line Losses [P_loss]			+10% -10%
✖Phase Difference is defined as the difference between the phasor of apparent and real power (in degrees) or between voltage and current in an ac circuit.ⓘ Phase Difference [Φ]			+10% -10%
✖Maximum Voltage Overhead AC is defined as the peak amplitude of the AC voltage supplied to the line or wire.ⓘ Maximum Voltage Overhead AC [V_m]			+10% -10%
✖Resistivity is the measure of how strongly a material opposes the flow of current through them.ⓘ Resistivity [ρ]			+10% -10%
✖Power Transmitted is defined as the product of current and voltage phasor in a overhead ac line at the receiving end.ⓘ Power Transmitted [P]			+10% -10%

✖Length of Overhead AC Wire is the total length of the wire from one end to other end.ⓘ Length using Volume of Conductor Material (Single-Phase Three-Wire OS) [L]

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Formula

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

Formula

`"L" = sqrt("V"*"P"_{"loss"}*(cos("Φ")*"V"_{"m"})^2/((2.5)*"ρ"*("P"^2)))`

Example

`"135.3706m"=sqrt("26m³"*"8.23W"*(cos("30°")*"62V")^2/((2.5)*"0.000017Ω*m"*(("890W")^2)))`

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

STEP 0: Pre-Calculation Summary

Formula Used

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)))
L = sqrt(V*P_loss*(cos(Φ)*V_m)^2/((2.5)*ρ*(P^2)))
This formula uses 2 Functions, 7 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)
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., sqrt(Number)

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.
Volume of Conductor - (Measured in Cubic Meter) - Volume of Conductor is the total volume of the material used to make the conductor of an overhead ac line.
Line Losses - (Measured in Watt) - Line Losses is defined as the total losses occurring in an Overhead AC line when in use.
Phase Difference - (Measured in Radian) - Phase Difference is defined as the difference between the phasor of apparent and real power (in degrees) or between voltage and current in an ac circuit.
Maximum Voltage Overhead AC - (Measured in Volt) - Maximum Voltage Overhead AC is defined as the peak amplitude of the AC voltage supplied to the line or wire.
Resistivity - (Measured in Ohm Meter) - Resistivity is the measure of how strongly a material opposes the flow of current through them.
Power Transmitted - (Measured in Watt) - Power Transmitted is defined as the product of current and voltage phasor in a overhead ac line at the receiving end.

STEP 1: Convert Input(s) to Base Unit

Volume of Conductor: 26 Cubic Meter --> 26 Cubic Meter No Conversion Required
Line Losses: 8.23 Watt --> 8.23 Watt No Conversion Required
Phase Difference: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
Maximum Voltage Overhead AC: 62 Volt --> 62 Volt No Conversion Required
Resistivity: 1.7E-05 Ohm Meter --> 1.7E-05 Ohm Meter No Conversion Required
Power Transmitted: 890 Watt --> 890 Watt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L = sqrt(V*P_loss*(cos(Φ)*V_m)^2/((2.5)*ρ*(P^2))) --> sqrt(26*8.23*(cos(0.5235987755982)*62)^2/((2.5)*1.7E-05*(890^2)))

Evaluating ... ...

L = 135.370627206875

STEP 3: Convert Result to Output's Unit

135.370627206875 Meter --> No Conversion Required

FINAL ANSWER

135.370627206875 ≈ 135.3706 Meter <-- Length of Overhead AC Wire

(Calculation completed in 00.004 seconds)

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< 19 Wire Parameters Calculators

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

Go 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)))

Line Losses using Area of X-Section(Single-Phase Three-Wire 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))

Length of Wire using Area of X-Section(Single-Phase Three-Wire 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))

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

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))

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

Go Line Losses = 2.5*(Power Transmitted)^2*Resistivity*(Length of Overhead AC Wire)^2/((Maximum Voltage Overhead AC*cos(Phase Difference))^2*Volume of Conductor)

Area of X-Section using Line Losses (Single-Phase Three-Wire 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)

Length using Line Losses (Single-Phase Three-Wire OS)

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

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

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

Constant using Load Current (Single-Phase Three-Wire OS)

Go Constant Overhead AC = 32*Resistivity*(Current Overhead AC*Length of Overhead AC Wire*cos(Phase Difference))^2/Line Losses

Constant using Line Losses (Single-Phase Three-Wire OS)

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

Constant(Single-Phase Three-Wire OS)

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

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

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

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

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

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

Go Constant Overhead AC = Volume of Conductor*(cos(Phase Difference))^2/(0.625)

Area of X-section using Volume of Conductor Material (Single-Phase Three-Wire OS)

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

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

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

Line Losses(Single-Phase Three-Wire OS)

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

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

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

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

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 √6v_m.

How to Calculate Length using Volume of Conductor Material (Single-Phase Three-Wire OS)?

Length using Volume of Conductor Material (Single-Phase Three-Wire OS) calculator uses 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))) to calculate the Length of Overhead AC Wire, The Length using Volume of Conductor Material (single-phase three-wire OS) formula is defined as the total length of the wire that used in the 1-phase 3-wire system. Length of Overhead AC Wire is denoted by L symbol.

How to calculate Length using Volume of Conductor Material (Single-Phase Three-Wire OS) using this online calculator? To use this online calculator for Length using Volume of Conductor Material (Single-Phase Three-Wire OS), enter Volume of Conductor (V), Line Losses (P_loss), Phase Difference (Φ), Maximum Voltage Overhead AC (V_m), Resistivity (ρ) & Power Transmitted (P) and hit the calculate button. Here is how the Length using Volume of Conductor Material (Single-Phase Three-Wire OS) calculation can be explained with given input values -> 135.3706 = sqrt(26*8.23*(cos(0.5235987755982)*62)^2/((2.5)*1.7E-05*(890^2))).

FAQ

What is Length using Volume of Conductor Material (Single-Phase Three-Wire OS)?

The Length using Volume of Conductor Material (single-phase three-wire OS) formula is defined as the total length of the wire that used in the 1-phase 3-wire system and is represented as L = sqrt(V*P_loss*(cos(Φ)*V_m)^2/((2.5)*ρ*(P^2))) or 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))). Volume of Conductor is the total volume of the material used to make the conductor of an overhead ac line, Line Losses is defined as the total losses occurring in an Overhead AC line when in use, Phase Difference is defined as the difference between the phasor of apparent and real power (in degrees) or between voltage and current in an ac circuit, Maximum Voltage Overhead AC is defined as the peak amplitude of the AC voltage supplied to the line or wire, Resistivity is the measure of how strongly a material opposes the flow of current through them & Power Transmitted is defined as the product of current and voltage phasor in a overhead ac line at the receiving end.

How to calculate Length using Volume of Conductor Material (Single-Phase Three-Wire OS)?

The Length using Volume of Conductor Material (single-phase three-wire OS) formula is defined as the total length of the wire that used in the 1-phase 3-wire system is calculated using 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))). To calculate Length using Volume of Conductor Material (Single-Phase Three-Wire OS), you need Volume of Conductor (V), Line Losses (P_loss), Phase Difference (Φ), Maximum Voltage Overhead AC (V_m), Resistivity (ρ) & Power Transmitted (P). With our tool, you need to enter the respective value for Volume of Conductor, Line Losses, Phase Difference, Maximum Voltage Overhead AC, Resistivity & Power Transmitted 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 Volume of Conductor, Line Losses, Phase Difference, Maximum Voltage Overhead AC, Resistivity & Power Transmitted. 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/(2*(Current Overhead AC^2)*Resistivity)
Length of Overhead AC Wire = Line Losses*Area of Overhead AC Wire*(Maximum Voltage Overhead AC*cos(Phase Difference))^2/((Power Transmitted^2)*Resistivity)

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