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

✖Volume Of Conductor the 3-dimensional space enclosed by a conductor material.ⓘ Volume Of Conductor [V]			+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%
✖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 Underground AC is defined as the peak amplitude of the AC voltage supplied to the line or wire.ⓘ Maximum Voltage Underground 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 the amount of power that is transferred from its place of generation to a location where it is applied to perform useful work.ⓘ Power Transmitted [P]			+10% -10%

✖Length of Underground AC Wire is the total length of the wire from one end to other end.ⓘ Length using Volume of Conductor Material(1 Phase 3 Wire US) [L]

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

STEP 0: Pre-Calculation Summary

Formula Used

Length of Underground AC Wire = sqrt(Volume Of Conductor*Line Losses*(cos(Phase Difference)*Maximum Voltage Underground AC)^2/((10)*Resistivity*(Power Transmitted^2)))
L = sqrt(V*P_loss*(cos(Φ)*V_m)^2/((10)*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 Underground AC Wire - (Measured in Meter) - Length of Underground 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 the 3-dimensional space enclosed by a conductor material.
Line Losses - (Measured in Watt) - Line Losses is defined as the total losses occurring in an Underground 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 Underground AC - (Measured in Volt) - Maximum Voltage Underground 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 the amount of power that is transferred from its place of generation to a location where it is applied to perform useful work.

STEP 1: Convert Input(s) to Base Unit

Volume Of Conductor: 60 Cubic Meter --> 60 Cubic Meter No Conversion Required
Line Losses: 2.67 Watt --> 2.67 Watt No Conversion Required
Phase Difference: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
Maximum Voltage Underground AC: 230 Volt --> 230 Volt No Conversion Required
Resistivity: 1.7E-05 Ohm Meter --> 1.7E-05 Ohm Meter No Conversion Required
Power Transmitted: 300 Watt --> 300 Watt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L = sqrt(V*P_loss*(cos(Φ)*V_m)^2/((10)*ρ*(P^2))) --> sqrt(60*2.67*(cos(0.5235987755982)*230)^2/((10)*1.7E-05*(300^2)))

Evaluating ... ...

L = 644.531293449196

STEP 3: Convert Result to Output's Unit

644.531293449196 Meter --> No Conversion Required

FINAL ANSWER

644.531293449196 ≈ 644.5313 Meter <-- Length of Underground AC Wire

(Calculation completed in 00.004 seconds)

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Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< Wire Parameters Calculators

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

LaTeX 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)

LaTeX 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)))

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

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

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

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

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

LaTeX Go

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

How to Calculate Length using Volume of Conductor Material(1 Phase 3 Wire US)?

Length using Volume of Conductor Material(1 Phase 3 Wire US) calculator uses Length of Underground AC Wire = sqrt(Volume Of Conductor*Line Losses*(cos(Phase Difference)*Maximum Voltage Underground AC)^2/((10)*Resistivity*(Power Transmitted^2))) to calculate the Length of Underground AC Wire, The Length using Volume of Conductor Material(1 phase 3 wire US) formula is defined as the total length of the wire that used in the 3-phase 3-wire system. Length of Underground AC Wire is denoted by L symbol.

How to calculate Length using Volume of Conductor Material(1 Phase 3 Wire US) using this online calculator? To use this online calculator for Length using Volume of Conductor Material(1 Phase 3 Wire US), enter Volume Of Conductor (V), Line Losses (P_loss), Phase Difference (Φ), Maximum Voltage Underground AC (V_m), Resistivity (ρ) & Power Transmitted (P) and hit the calculate button. Here is how the Length using Volume of Conductor Material(1 Phase 3 Wire US) calculation can be explained with given input values -> 644.5313 = sqrt(60*2.67*(cos(0.5235987755982)*230)^2/((10)*1.7E-05*(300^2))).

FAQ

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

The Length using Volume of Conductor Material(1 phase 3 wire US) formula is defined as the total length of the wire that used in the 3-phase 3-wire system and is represented as L = sqrt(V*P_loss*(cos(Φ)*V_m)^2/((10)*ρ*(P^2))) or Length of Underground AC Wire = sqrt(Volume Of Conductor*Line Losses*(cos(Phase Difference)*Maximum Voltage Underground AC)^2/((10)*Resistivity*(Power Transmitted^2))). Volume Of Conductor the 3-dimensional space enclosed by a conductor material, Line Losses is defined as the total losses occurring in an Underground 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 Underground 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 the amount of power that is transferred from its place of generation to a location where it is applied to perform useful work.

How to calculate Length using Volume of Conductor Material(1 Phase 3 Wire US)?

The Length using Volume of Conductor Material(1 phase 3 wire US) formula is defined as the total length of the wire that used in the 3-phase 3-wire system is calculated using Length of Underground AC Wire = sqrt(Volume Of Conductor*Line Losses*(cos(Phase Difference)*Maximum Voltage Underground AC)^2/((10)*Resistivity*(Power Transmitted^2))). To calculate Length using Volume of Conductor Material(1 Phase 3 Wire US), you need Volume Of Conductor (V), Line Losses (P_loss), Phase Difference (Φ), Maximum Voltage Underground 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 Underground 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 Underground AC Wire?

In this formula, Length of Underground AC Wire uses Volume Of Conductor, Line Losses, Phase Difference, Maximum Voltage Underground AC, Resistivity & Power Transmitted. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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