Area of X-section using Volume of Conductor Material (3-Phase 4-Wire OS) Solution

STEP 0: Pre-Calculation Summary
Formula Used
Area of Overhead AC Wire = Volume of Conductor/((3.5)*Length of Overhead AC Wire)
A = V/((3.5)*L)
This formula uses 3 Variables
Variables Used
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.
Volume of Conductor - (Measured in Cubic Meter) - Volume of Conductor is the total volume of the material used to make the conductor of an overhead ac line.
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.
STEP 1: Convert Input(s) to Base Unit
Volume of Conductor: 26 Cubic Meter --> 26 Cubic Meter No Conversion Required
Length of Overhead AC Wire: 10.63 Meter --> 10.63 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = V/((3.5)*L) --> 26/((3.5)*10.63)
Evaluating ... ...
A = 0.698830802311517
STEP 3: Convert Result to Output's Unit
0.698830802311517 Square Meter --> No Conversion Required
FINAL ANSWER
0.698830802311517 0.698831 Square Meter <-- Area of Overhead AC Wire
(Calculation completed in 00.020 seconds)

Credits

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

Line Losses using Area of X-Section(3-Phase 4-Wire OS)
Go Line Losses = (2*Length of Overhead AC Wire*Resistivity*(Power Transmitted^2))/(3*Area of Overhead AC Wire*(Maximum Voltage Overhead AC^2)*((cos(Phase Difference))^2))
Length of Wire using Area of X-Section(3-Phase 4-Wire OS)
Go 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 X-Section(3-Phase 4-Wire OS)
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))
Line Losses using Volume of Conductor Material (3-Phase 4-Wire OS)
Go Line Losses = 7*(Power Transmitted)^2*Resistivity*(Length of Overhead AC Wire)^2/(3*(Maximum Voltage Overhead AC*cos(Phase Difference))^2*Volume of Conductor)
Length using Volume of Conductor Material (3-Phase 4-Wire OS)
Go Length of Overhead AC Wire = 3*Volume of Conductor*Line Losses*(cos(Phase Difference)*Maximum Voltage Overhead AC)^2/(7*Resistivity*(Power Transmitted^2))
Constant(3-Phase 4-Wire OS)
Go Constant Overhead AC = (4*(Power Transmitted^2)*Resistivity*(Length of Overhead AC Wire^2))/(Line Losses*(Maximum Voltage Overhead AC^2))
Length of Wire using Resistance (3-Phase 4-Wire OS)
Go Length of Overhead AC Wire = (Resistance Overhead AC*Area of Overhead AC Wire)/Resistivity
Area of X-Section using Resistance (3-Phase 4-Wire OS)
Go Area of Overhead AC Wire = Resistivity*Length of Overhead AC Wire/Resistance Overhead AC
Constant using Volume of Conductor Material (3-Phase 4-Wire OS)
Go Constant Overhead AC = Volume of Conductor*(cos(Phase Difference))^2/(0.583)
Volume of Conductor Material using Constant(3-Phase 4-Wire OS)
Go Volume of Conductor = 7*Constant Overhead AC/(12*(cos(Phase Difference)^2))
Area of X-section using Volume of Conductor Material (3-Phase 4-Wire OS)
Go Area of Overhead AC Wire = Volume of Conductor/((3.5)*Length of Overhead AC Wire)
Volume of Conductor Material(3-Phase 4-Wire OS)
Go Volume of Conductor = (3.5)*Area of Overhead AC Wire*Length of Overhead AC Wire
Line Losses(3-Phase 4-Wire OS)
Go Line Losses = (3)*((Current Overhead AC)^2)*Resistance Overhead AC

Area of X-section using Volume of Conductor Material (3-Phase 4-Wire OS) Formula

Area of Overhead AC Wire = Volume of Conductor/((3.5)*Length of Overhead AC Wire)
A = V/((3.5)*L)

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 vm so that r.m.s. value of voltage between them is vm/√2.

How to Calculate Area of X-section using Volume of Conductor Material (3-Phase 4-Wire OS)?

Area of X-section using Volume of Conductor Material (3-Phase 4-Wire OS) calculator uses Area of Overhead AC Wire = Volume of Conductor/((3.5)*Length of Overhead AC Wire) to calculate the Area of Overhead AC Wire, The Area of X-section using Volume of Conductor Material (3-phase 4-wire OS) formula is defined as the cross-sectional area simply as the square of the wire's diameter in mils and calls that our area in units of “circular mils.” This makes number handling ever so much easier. Area of Overhead AC Wire is denoted by A symbol.

How to calculate Area of X-section using Volume of Conductor Material (3-Phase 4-Wire OS) using this online calculator? To use this online calculator for Area of X-section using Volume of Conductor Material (3-Phase 4-Wire OS), enter Volume of Conductor (V) & Length of Overhead AC Wire (L) and hit the calculate button. Here is how the Area of X-section using Volume of Conductor Material (3-Phase 4-Wire OS) calculation can be explained with given input values -> 0.698831 = 26/((3.5)*10.63).

FAQ

What is Area of X-section using Volume of Conductor Material (3-Phase 4-Wire OS)?
The Area of X-section using Volume of Conductor Material (3-phase 4-wire OS) formula is defined as the cross-sectional area simply as the square of the wire's diameter in mils and calls that our area in units of “circular mils.” This makes number handling ever so much easier and is represented as A = V/((3.5)*L) or Area of Overhead AC Wire = Volume of Conductor/((3.5)*Length of Overhead AC Wire). Volume of Conductor is the total volume of the material used to make the conductor of an overhead ac line & Length of Overhead AC Wire is the total length of the wire from one end to other end.
How to calculate Area of X-section using Volume of Conductor Material (3-Phase 4-Wire OS)?
The Area of X-section using Volume of Conductor Material (3-phase 4-wire OS) formula is defined as the cross-sectional area simply as the square of the wire's diameter in mils and calls that our area in units of “circular mils.” This makes number handling ever so much easier is calculated using Area of Overhead AC Wire = Volume of Conductor/((3.5)*Length of Overhead AC Wire). To calculate Area of X-section using Volume of Conductor Material (3-Phase 4-Wire OS), you need Volume of Conductor (V) & Length of Overhead AC Wire (L). With our tool, you need to enter the respective value for Volume of Conductor & Length of Overhead AC Wire 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 Area of Overhead AC Wire?
In this formula, Area of Overhead AC Wire uses Volume of Conductor & Length of Overhead AC Wire. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • 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))
  • Area of Overhead AC Wire = Resistivity*Length of Overhead AC Wire/Resistance Overhead AC
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