Length of Wire using Area of X-Section(3-Phase 4-Wire OS) Calculator

✖Area of Overhead AC Wire is defined as the cross-sectional area of the wire of an AC supply system.ⓘ Area of Overhead AC Wire [A]			+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%
✖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%
✖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 of Wire using Area of X-Section(3-Phase 4-Wire OS) [L]

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

STEP 0: Pre-Calculation Summary

Formula Used

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))
L = 3*A*(V_m^2)*P_loss*((cos(Φ))^2)/(2*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 Overhead AC Wire - (Measured in Meter) - Length of Overhead AC Wire is the total length of the wire from one end to other end.
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.
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.
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.
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

Area of Overhead AC Wire: 0.79 Square Meter --> 0.79 Square Meter No Conversion Required
Maximum Voltage Overhead AC: 62 Volt --> 62 Volt No Conversion Required
Line Losses: 8.23 Watt --> 8.23 Watt 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: 890 Watt --> 890 Watt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L = 3*A*(V_m^2)*P_loss*((cos(Φ))^2)/(2*ρ*(P^2)) --> 3*0.79*(62^2)*8.23*((cos(0.5235987755982))^2)/(2*1.7E-05*(890^2))

Evaluating ... ...

L = 2088.01634151956

STEP 3: Convert Result to Output's Unit

2088.01634151956 Meter --> No Conversion Required

FINAL ANSWER

2088.01634151956 ≈ 2088.016 Meter <-- Length of Overhead AC Wire

(Calculation completed in 00.004 seconds)

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< Wire Parameters Calculators

Area of X-Section(3-Phase 4-Wire OS)

LaTeX 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))

Constant(3-Phase 4-Wire OS)

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

Volume of Conductor Material(3-Phase 4-Wire OS)

LaTeX Go Volume of Conductor = (3.5)*Area of Overhead AC Wire*Length of Overhead AC Wire

Line Losses(3-Phase 4-Wire OS)

LaTeX Go Line Losses = (3)*((Current Overhead AC)^2)*Resistance Overhead AC

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

LaTeX Go

What is the value of maximum voltage and volume of conductor material in 3-phase 4-wire system?

The volume of conductor material required in this system is 7/12cos²θ 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 of Wire using Area of X-Section(3-Phase 4-Wire OS)?

Length of Wire using Area of X-Section(3-Phase 4-Wire OS) calculator uses 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)) to calculate the Length of Overhead AC Wire, The Length of Wire using Area of X-section(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 Area of X-Section(3-Phase 4-Wire OS) using this online calculator? To use this online calculator for Length of Wire using Area of X-Section(3-Phase 4-Wire OS), enter Area of Overhead AC Wire (A), Maximum Voltage Overhead AC (V_m), Line Losses (P_loss), Phase Difference (Φ), Resistivity (ρ) & Power Transmitted (P) and hit the calculate button. Here is how the Length of Wire using Area of X-Section(3-Phase 4-Wire OS) calculation can be explained with given input values -> 2088.016 = 3*0.79*(62^2)*8.23*((cos(0.5235987755982))^2)/(2*1.7E-05*(890^2)).

FAQ

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

The Length of Wire using Area of X-section(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 = 3*A*(V_m^2)*P_loss*((cos(Φ))^2)/(2*ρ*(P^2)) or 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 Overhead AC Wire is defined as the cross-sectional area of the wire of an AC supply system, Maximum Voltage Overhead AC is defined as the peak amplitude of the AC voltage supplied to the line or wire, 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, 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 of Wire using Area of X-Section(3-Phase 4-Wire OS)?

The Length of Wire using Area of X-section(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 = 3*Area of Overhead AC Wire*(Maximum Voltage Overhead AC^2)*Line Losses*((cos(Phase Difference))^2)/(2*Resistivity*(Power Transmitted^2)). To calculate Length of Wire using Area of X-Section(3-Phase 4-Wire OS), you need Area of Overhead AC Wire (A), Maximum Voltage Overhead AC (V_m), Line Losses (P_loss), Phase Difference (Φ), Resistivity (ρ) & Power Transmitted (P). With our tool, you need to enter the respective value for Area of Overhead AC Wire, Maximum Voltage Overhead AC, Line Losses, 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 Overhead AC Wire?

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

Length of Overhead AC Wire = 3*Volume of Conductor*Line Losses*(cos(Phase Difference)*Maximum Voltage Overhead AC)^2/(7*Resistivity*(Power Transmitted^2))
Length of Overhead AC Wire = (Resistance Overhead AC*Area of Overhead AC Wire)/Resistivity

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