Length of Wire using Constant (1-Phase 2-Wire US) Calculator

✖Constant Underground AC is defined as the constant of line of a Overhead supply system.ⓘ Constant Underground AC [K]			+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%
✖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 of Wire using Constant (1-Phase 2-Wire US) [L]

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Length of Wire using Constant (1-Phase 2-Wire US) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Underground AC Wire = sqrt(Constant Underground AC*Line Losses*(Maximum Voltage Underground AC^2)/(4*Resistivity*(Power Transmitted)^2))
L = sqrt(K*P_loss*(V_m^2)/(4*ρ*(P)^2))
This formula uses 1 Functions, 6 Variables

Functions Used

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.
Constant Underground AC - Constant Underground AC is defined as the constant of line of a Overhead 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.
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

Constant Underground AC: 0.87 --> 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
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(K*P_loss*(V_m^2)/(4*ρ*(P)^2)) --> sqrt(0.87*2.67*(230^2)/(4*1.7E-05*(300)^2))

Evaluating ... ...

L = 141.699194650873

STEP 3: Convert Result to Output's Unit

141.699194650873 Meter --> No Conversion Required

FINAL ANSWER

141.699194650873 ≈ 141.6992 Meter <-- Length of Underground AC Wire

(Calculation completed in 00.004 seconds)

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< Wire Parameters Calculators

Area of X-Section (1-Phase 2-Wire US)

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

Constant (1-Phase 2-Wire US)

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

Voltage of Conductor Material (1-Phase 2-Wire US)

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

Area of X-Section using Volume of Conductor Material (1-Phase 2-Wire US)

LaTeX Go Area of Underground AC Wire = Volume Of Conductor/(2*Length of Underground AC Wire)

Length of Wire using Constant (1-Phase 2-Wire US) Formula

LaTeX Go

Length of Underground AC Wire = sqrt(Constant Underground AC*Line Losses*(Maximum Voltage Underground AC^2)/(4*Resistivity*(Power Transmitted)^2))
L = sqrt(K*P_loss*(V_m^2)/(4*ρ*(P)^2))

What is the value of maximum voltage and volume of conductor material in 1-phase 2-wire system?

The volume of conductor material required in this system is 2/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 of Wire using Constant (1-Phase 2-Wire US)?

Length of Wire using Constant (1-Phase 2-Wire US) calculator uses Length of Underground AC Wire = sqrt(Constant Underground AC*Line Losses*(Maximum Voltage Underground AC^2)/(4*Resistivity*(Power Transmitted)^2)) to calculate the Length of Underground AC Wire, The Length of Wire using Constant (1-Phase 2-Wire US) formula is defined as the total length of the wire that used in the single-phase two-wire system. Length of Underground AC Wire is denoted by L symbol.

How to calculate Length of Wire using Constant (1-Phase 2-Wire US) using this online calculator? To use this online calculator for Length of Wire using Constant (1-Phase 2-Wire US), enter Constant Underground AC (K), Line Losses (P_loss), Maximum Voltage Underground AC (V_m), Resistivity (ρ) & Power Transmitted (P) and hit the calculate button. Here is how the Length of Wire using Constant (1-Phase 2-Wire US) calculation can be explained with given input values -> 141.6992 = sqrt(0.87*2.67*(230^2)/(4*1.7E-05*(300)^2)).

FAQ

What is Length of Wire using Constant (1-Phase 2-Wire US)?

The Length of Wire using Constant (1-Phase 2-Wire US) formula is defined as the total length of the wire that used in the single-phase two-wire system and is represented as L = sqrt(K*P_loss*(V_m^2)/(4*ρ*(P)^2)) or Length of Underground AC Wire = sqrt(Constant Underground AC*Line Losses*(Maximum Voltage Underground AC^2)/(4*Resistivity*(Power Transmitted)^2)). Constant Underground AC is defined as the constant of line of a Overhead 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, 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 of Wire using Constant (1-Phase 2-Wire US)?

The Length of Wire using Constant (1-Phase 2-Wire US) formula is defined as the total length of the wire that used in the single-phase two-wire system is calculated using Length of Underground AC Wire = sqrt(Constant Underground AC*Line Losses*(Maximum Voltage Underground AC^2)/(4*Resistivity*(Power Transmitted)^2)). To calculate Length of Wire using Constant (1-Phase 2-Wire US), you need Constant Underground AC (K), Line Losses (P_loss), Maximum Voltage Underground AC (V_m), Resistivity (ρ) & Power Transmitted (P). With our tool, you need to enter the respective value for Constant Underground AC, Line Losses, 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 Constant Underground AC, Line Losses, Maximum Voltage Underground AC, Resistivity & Power Transmitted. We can use 3 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*cos(Phase Difference))^2/(4*(Power Transmitted^2)*Resistivity)
Length of Underground AC Wire = Volume Of Conductor/(2*Area of Underground AC Wire)
Length of Underground AC Wire = (Line Losses*Area of Underground AC Wire)/(2*(Current Underground AC)^2*Resistivity)

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