Area using Resistance of Natural Wire (2-Phase 3-Wire US) Solution

STEP 0: Pre-Calculation Summary
Formula Used
Area of Underground AC Wire = Resistivity*Length of Underground AC Wire/(sqrt(2)*Resistance Underground AC)
A = ρ*L/(sqrt(2)*R)
This formula uses 1 Functions, 4 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
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.
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.
Resistance Underground AC - (Measured in Ohm) - Resistance Underground AC is defined as the property of the wire or line that opposes the flow of current through it.
STEP 1: Convert Input(s) to Base Unit
Resistivity: 1.7E-05 Ohm Meter --> 1.7E-05 Ohm Meter No Conversion Required
Length of Underground AC Wire: 24 Meter --> 24 Meter No Conversion Required
Resistance Underground AC: 5 Ohm --> 5 Ohm No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = ρ*L/(sqrt(2)*R) --> 1.7E-05*24/(sqrt(2)*5)
Evaluating ... ...
A = 5.76999133448223E-05
STEP 3: Convert Result to Output's Unit
5.76999133448223E-05 Square Meter --> No Conversion Required
FINAL ANSWER
5.76999133448223E-05 5.8E-5 Square Meter <-- Area of Underground AC Wire
(Calculation completed in 00.004 seconds)

Credits

Created by Urvi Rathod
Vishwakarma Government Engineering College (VGEC), Ahmedabad
Urvi Rathod has created this Calculator and 1500+ more calculators!
Verified by Payal Priya
Birsa Institute of Technology (BIT), Sindri
Payal Priya has verified this Calculator and 1900+ more calculators!

17 Wire Parameters Calculators

Volume of Conductor Material using Resistance (2 Phase 3 Wire US)
Go Volume Of Conductor = ((2+sqrt(2))^2*(Power Transmitted^2)*Resistance Underground AC*Area of Underground AC Wire*Length of Underground AC Wire)/(Line Losses*(Maximum Voltage Underground AC^2)*(cos(Phase Difference))^2)
Angle of Pf using Line Losses (2-Phase 3-Wire US)
Go Phase Difference = acos((2+(sqrt(2)*Power Transmitted/Maximum Voltage Underground AC))*(sqrt(Resistivity*Length of Underground AC Wire/Line Losses*Area of Underground AC Wire)))
Length using Volume of Conductor Material (2 Phase 3 Wire US)
Go Length of Underground AC Wire = sqrt(Volume Of Conductor*Line Losses*(cos(Phase Difference)*Maximum Voltage Underground AC)^2/(Resistivity*((2+sqrt(2))*Power Transmitted^2)))
Volume of Conductor Material (2 Phase 3 Wire US)
Go Volume Of Conductor = ((2+sqrt(2))^2)*(Power Transmitted^2)*Resistivity*(Length of Underground AC Wire^2)/(Line Losses*(Maximum Voltage Underground AC^2)*(cos(Phase Difference)^2))
Area of X-Section using Line Losses (2-Phase 3-Wire US)
Go Area of Underground AC Wire = (2+sqrt(2))*Resistivity*Length of Underground AC Wire*(Power Transmitted)^2/(Line Losses*(Maximum Voltage Underground AC*cos(Phase Difference))^2)
Length using Line Losses (2-Phase 3-Wire US)
Go Length of Underground AC Wire = Line Losses*Area of Underground AC Wire*(Maximum Voltage Underground AC*cos(Phase Difference))^2/((2+sqrt(2))*(Power Transmitted^2)*Resistivity)
Line Losses using Volume of Conductor Material (2 Phase 3 Wire US)
Go Line Losses = ((2+sqrt(2))*Power Transmitted)^2*Resistivity*(Length of Underground AC Wire)^2/((Maximum Voltage Underground AC*cos(Phase Difference))^2*Volume Of Conductor)
Volume of Conductor Material using Area and Length(2 Phase 3 Wire US)
Go Volume Of Conductor = (2*Area of Underground AC Wire*Length of Underground AC Wire)+(sqrt(2)*Area of Underground AC Wire*Length of Underground AC Wire)
Volume of Conductor Material using Load Current (2 Phase 3 Wire US)
Go Volume Of Conductor = (2+sqrt(2))^2*Resistivity*(Length of Underground AC Wire^2)*(Current Underground AC^2)/Line Losses
Angle using Current in Neutral Wire (2-Phase 3-Wire US)
Go Phase Difference = acos(sqrt(2)*Power Transmitted/(Current Underground AC*Maximum Voltage Underground AC))
Length using Resistance of Natural Wire (2-Phase 3-Wire US)
Go Length of Underground AC Wire = (Resistance Underground AC*sqrt(2)*Area of Underground AC Wire)/(Resistivity)
Area using Resistance of Natural Wire (2-Phase 3-Wire US)
Go Area of Underground AC Wire = Resistivity*Length of Underground AC Wire/(sqrt(2)*Resistance Underground AC)
Angle using Current in Each Outer (2-Phase 3-Wire US)
Go Phase Difference = acos(Power Transmitted/(Current Underground AC*Maximum Voltage Underground AC))
Angle of PF using Volume of Conductor Material (2 Phase 3 Wire US)
Go Phase Difference = acos(sqrt((2.914)*Constant Underground AC/Volume Of Conductor))
Area of X Section using Volume of Conductor Material (2 Phase 3 Wire US)
Go Area of Underground AC Wire = Volume Of Conductor/((2+sqrt(2))*Length of Underground AC Wire)
Constant using Volume of Conductor Material (2 Phase 3 Wire US)
Go Constant Underground AC = Volume Of Conductor*((cos(Phase Difference))^2)/(2.914)
Volume of Conductor Material using Constant(2 Phase 3 Wire US)
Go Volume Of Conductor = 2.194*Constant Underground AC/(cos(Phase Difference)^2)

Area using Resistance of Natural Wire (2-Phase 3-Wire US) Formula

Area of Underground AC Wire = Resistivity*Length of Underground AC Wire/(sqrt(2)*Resistance Underground AC)
A = ρ*L/(sqrt(2)*R)

What is the value of maximum voltage and volume of conductor material in 2-phase 3-wire system?

The volume of conductor material required in this system is 2.914/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 Area using Resistance of Natural Wire (2-Phase 3-Wire US)?

Area using Resistance of Natural Wire (2-Phase 3-Wire US) calculator uses Area of Underground AC Wire = Resistivity*Length of Underground AC Wire/(sqrt(2)*Resistance Underground AC) to calculate the Area of Underground AC Wire, The Area using Resistance of Natural Wire (2-Phase 3-Wire US) 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 Underground AC Wire is denoted by A symbol.

How to calculate Area using Resistance of Natural Wire (2-Phase 3-Wire US) using this online calculator? To use this online calculator for Area using Resistance of Natural Wire (2-Phase 3-Wire US), enter Resistivity (ρ), Length of Underground AC Wire (L) & Resistance Underground AC (R) and hit the calculate button. Here is how the Area using Resistance of Natural Wire (2-Phase 3-Wire US) calculation can be explained with given input values -> 5.8E-5 = 1.7E-05*24/(sqrt(2)*5).

FAQ

What is Area using Resistance of Natural Wire (2-Phase 3-Wire US)?
The Area using Resistance of Natural Wire (2-Phase 3-Wire US) 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 = ρ*L/(sqrt(2)*R) or Area of Underground AC Wire = Resistivity*Length of Underground AC Wire/(sqrt(2)*Resistance Underground AC). Resistivity is the measure of how strongly a material opposes the flow of current through them, Length of Underground AC Wire is the total length of the wire from one end to other end & Resistance Underground AC is defined as the property of the wire or line that opposes the flow of current through it.
How to calculate Area using Resistance of Natural Wire (2-Phase 3-Wire US)?
The Area using Resistance of Natural Wire (2-Phase 3-Wire US) 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 Underground AC Wire = Resistivity*Length of Underground AC Wire/(sqrt(2)*Resistance Underground AC). To calculate Area using Resistance of Natural Wire (2-Phase 3-Wire US), you need Resistivity (ρ), Length of Underground AC Wire (L) & Resistance Underground AC (R). With our tool, you need to enter the respective value for Resistivity, Length of Underground AC Wire & Resistance 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 Area of Underground AC Wire?
In this formula, Area of Underground AC Wire uses Resistivity, Length of Underground AC Wire & Resistance Underground AC. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Area of Underground AC Wire = Volume Of Conductor/((2+sqrt(2))*Length of Underground AC Wire)
  • Area of Underground AC Wire = (2+sqrt(2))*Resistivity*Length of Underground AC Wire*(Power Transmitted)^2/(Line Losses*(Maximum Voltage Underground AC*cos(Phase Difference))^2)
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!