Length using Line Losses (1-Phase 2-Wire Mid-Point Earthed) Solution

STEP 0: Pre-Calculation Summary
Formula Used
Length of Underground AC Wire = Line Losses*Area of Underground AC Wire/(2*Resistivity*(Current Underground AC^2))
L = Ploss*A/(2*ρ*(I^2))
This formula uses 5 Variables
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.
Line Losses - (Measured in Watt) - Line Losses is defined as the total losses occurring in an Underground AC line when in use.
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.
Resistivity - (Measured in Ohm Meter) - Resistivity is the measure of how strongly a material opposes the flow of current through them.
Current Underground AC - (Measured in Ampere) - Current Underground AC is defined as the current flowing through the overhead ac supply wire.
STEP 1: Convert Input(s) to Base Unit
Line Losses: 2.67 Watt --> 2.67 Watt No Conversion Required
Area of Underground AC Wire: 1.28 Square Meter --> 1.28 Square Meter No Conversion Required
Resistivity: 1.7E-05 Ohm Meter --> 1.7E-05 Ohm Meter No Conversion Required
Current Underground AC: 9 Ampere --> 9 Ampere No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
L = Ploss*A/(2*ρ*(I^2)) --> 2.67*1.28/(2*1.7E-05*(9^2))
Evaluating ... ...
L = 1240.95860566449
STEP 3: Convert Result to Output's Unit
1240.95860566449 Meter --> No Conversion Required
FINAL ANSWER
1240.95860566449 1240.959 Meter <-- Length of Underground AC Wire
(Calculation completed in 00.004 seconds)

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Vishwakarma Government Engineering College (VGEC), Ahmedabad
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Wire Parameters Calculators

Length using Area of X-Section (1-Phase 2-Wire Mid-Point Earthed)
​ LaTeX ​ Go 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)
Area of X-Section (1-Phase 2-Wire Mid-Point Earthed)
​ 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))
Length using Line Losses (1-Phase 2-Wire Mid-Point Earthed)
​ LaTeX ​ Go Length of Underground AC Wire = Line Losses*Area of Underground AC Wire/(2*Resistivity*(Current Underground AC^2))
Area using Line Losses (1-Phase 2-Wire Mid-Point Earthed)
​ LaTeX ​ Go Area of Underground AC Wire = 2*Resistivity*Length of Underground AC Wire/(Line Losses*(Current Underground AC^2))

Length using Line Losses (1-Phase 2-Wire Mid-Point Earthed) Formula

​LaTeX ​Go
Length of Underground AC Wire = Line Losses*Area of Underground AC Wire/(2*Resistivity*(Current Underground AC^2))
L = Ploss*A/(2*ρ*(I^2))

What is the value of maximum voltage and volume of conductor material in this 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 vm so that r.m.s. value of voltage between them is vm/√2.

How to Calculate Length using Line Losses (1-Phase 2-Wire Mid-Point Earthed)?

Length using Line Losses (1-Phase 2-Wire Mid-Point Earthed) calculator uses Length of Underground AC Wire = Line Losses*Area of Underground AC Wire/(2*Resistivity*(Current Underground AC^2)) to calculate the Length of Underground AC Wire, The Length using Line Losses (1-phase 2-wire Mid-point Earthed) formula is defined as the total length of the wire that used in the two-phase three-wire mid-point earthed Underground system. Length of Underground AC Wire is denoted by L symbol.

How to calculate Length using Line Losses (1-Phase 2-Wire Mid-Point Earthed) using this online calculator? To use this online calculator for Length using Line Losses (1-Phase 2-Wire Mid-Point Earthed), enter Line Losses (Ploss), Area of Underground AC Wire (A), Resistivity (ρ) & Current Underground AC (I) and hit the calculate button. Here is how the Length using Line Losses (1-Phase 2-Wire Mid-Point Earthed) calculation can be explained with given input values -> 1240.959 = 2.67*1.28/(2*1.7E-05*(9^2)).

FAQ

What is Length using Line Losses (1-Phase 2-Wire Mid-Point Earthed)?
The Length using Line Losses (1-phase 2-wire Mid-point Earthed) formula is defined as the total length of the wire that used in the two-phase three-wire mid-point earthed Underground system and is represented as L = Ploss*A/(2*ρ*(I^2)) or Length of Underground AC Wire = Line Losses*Area of Underground AC Wire/(2*Resistivity*(Current Underground AC^2)). Line Losses is defined as the total losses occurring in an Underground AC line when in use, Area of Underground AC Wire is defined as the cross-sectional area of the wire of an AC supply system, Resistivity is the measure of how strongly a material opposes the flow of current through them & Current Underground AC is defined as the current flowing through the overhead ac supply wire.
How to calculate Length using Line Losses (1-Phase 2-Wire Mid-Point Earthed)?
The Length using Line Losses (1-phase 2-wire Mid-point Earthed) formula is defined as the total length of the wire that used in the two-phase three-wire mid-point earthed Underground system is calculated using Length of Underground AC Wire = Line Losses*Area of Underground AC Wire/(2*Resistivity*(Current Underground AC^2)). To calculate Length using Line Losses (1-Phase 2-Wire Mid-Point Earthed), you need Line Losses (Ploss), Area of Underground AC Wire (A), Resistivity (ρ) & Current Underground AC (I). With our tool, you need to enter the respective value for Line Losses, Area of Underground AC Wire, Resistivity & Current Underground AC 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 Line Losses, Area of Underground AC Wire, Resistivity & Current Underground AC. 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*cos(Phase Difference))^2)/(4*(Power Transmitted^2)*Resistivity)
  • Length of Underground AC Wire = Volume Of Conductor/(2*Area of Underground AC Wire)
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