Length using Area of X-Section (3 Phase 4 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%
✖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%
✖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%
✖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 Area of X-Section (3 Phase 4 Wire US) [L]

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Length using Area of X-Section (3 Phase 4 Wire US) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Underground AC Wire = (Area of Underground AC Wire*Line Losses*(Maximum Voltage Underground AC^2)*(cos(Phase Difference))^2)/(4*Resistivity*(Power Transmitted^2))
L = (A*P_loss*(V_m^2)*(cos(Φ))^2)/(4*ρ*(P^2))
This formula uses 1 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)

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.
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.
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.
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

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
Maximum Voltage Underground AC: 230 Volt --> 230 Volt No Conversion Required
Phase Difference: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
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 = (A*P_loss*(V_m^2)*(cos(Φ))^2)/(4*ρ*(P^2)) --> (1.28*2.67*(230^2)*(cos(0.5235987755982))^2)/(4*1.7E-05*(300^2))

Evaluating ... ...

L = 22155.7647058824

STEP 3: Convert Result to Output's Unit

22155.7647058824 Meter --> No Conversion Required

FINAL ANSWER

22155.7647058824 ≈ 22155.76 Meter <-- Length of Underground AC Wire

(Calculation completed in 00.004 seconds)

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< Wire Parameters Calculators

Line Losses using Volume of Conductor Material (3 Phase 4 Wire US)

LaTeX Go Line Losses = 7*(Power Transmitted)^2*Resistivity*(Length of Underground AC Wire)^2/((Maximum Voltage Underground AC*cos(Phase Difference))^2*Volume Of Conductor)

Angle using Load Current (3 Phase 4 Wire US)

LaTeX Go Phase Difference = acos(sqrt(6)*Power Transmitted/(3*Maximum Voltage Underground AC*Current Underground AC))

Constant using Volume of Conductor Material (3 Phase 4 Wire US)

LaTeX Go Constant Underground AC = Volume Of Conductor*(cos(Phase Difference))^2/(1.75)

Area of X-Section using Volume of Conductor Material (3 Phase 4 Wire US)

LaTeX Go Area of Underground AC Wire = Volume Of Conductor/((3.5)*Length of Underground AC Wire)

Length using Area of X-Section (3 Phase 4 Wire US) Formula

LaTeX Go

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 Area of X-Section (3 Phase 4 Wire US)?

Length using Area of X-Section (3 Phase 4 Wire US) calculator uses Length of Underground AC Wire = (Area of Underground AC Wire*Line Losses*(Maximum Voltage Underground AC^2)*(cos(Phase Difference))^2)/(4*Resistivity*(Power Transmitted^2)) to calculate the Length of Underground AC Wire, The Length using Area of X-Section (3 phase 4 wire US) formula is defined as the total length of the wire that used in the three-phase four-wire system. Length of Underground AC Wire is denoted by L symbol.

How to calculate Length using Area of X-Section (3 Phase 4 Wire US) using this online calculator? To use this online calculator for Length using Area of X-Section (3 Phase 4 Wire US), enter Area of Underground AC Wire (A), Line Losses (P_loss), Maximum Voltage Underground AC (V_m), Phase Difference (Φ), Resistivity (ρ) & Power Transmitted (P) and hit the calculate button. Here is how the Length using Area of X-Section (3 Phase 4 Wire US) calculation can be explained with given input values -> 22155.76 = (1.28*2.67*(230^2)*(cos(0.5235987755982))^2)/(4*1.7E-05*(300^2)).

FAQ

What is Length using Area of X-Section (3 Phase 4 Wire US)?

The Length using Area of X-Section (3 phase 4 wire US) formula is defined as the total length of the wire that used in the three-phase four-wire system and is represented as L = (A*P_loss*(V_m^2)*(cos(Φ))^2)/(4*ρ*(P^2)) or Length of Underground AC Wire = (Area of Underground AC Wire*Line Losses*(Maximum Voltage Underground AC^2)*(cos(Phase Difference))^2)/(4*Resistivity*(Power Transmitted^2)). 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, Maximum Voltage Underground AC is defined as the peak amplitude of the AC voltage supplied to the line or wire, 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, 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 Area of X-Section (3 Phase 4 Wire US)?

The Length using Area of X-Section (3 phase 4 wire US) formula is defined as the total length of the wire that used in the three-phase four-wire system is calculated using Length of Underground AC Wire = (Area of Underground AC Wire*Line Losses*(Maximum Voltage Underground AC^2)*(cos(Phase Difference))^2)/(4*Resistivity*(Power Transmitted^2)). To calculate Length using Area of X-Section (3 Phase 4 Wire US), you need Area of Underground AC Wire (A), Line Losses (P_loss), Maximum Voltage Underground AC (V_m), Phase Difference (Φ), Resistivity (ρ) & Power Transmitted (P). With our tool, you need to enter the respective value for Area of Underground AC Wire, Line Losses, Maximum Voltage Underground AC, Phase Difference, 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 Area of Underground AC Wire, Line Losses, Maximum Voltage Underground AC, Phase Difference, Resistivity & Power Transmitted. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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