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

STEP 0: Pre-Calculation Summary
Formula Used
Area of Underground AC Wire = Constant Underground AC/Length of Underground AC Wire*(cos(Phase Difference))^2
A = K/L*(cos(Φ))^2
This formula uses 1 Functions, 4 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
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.
Constant Underground AC - Constant Underground AC is defined as the constant of line of a Overhead supply system.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Constant Underground AC: 0.87 --> No Conversion Required
Length of Underground AC Wire: 24 Meter --> 24 Meter No Conversion Required
Phase Difference: 30 Degree --> 0.5235987755982 Radian (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = K/L*(cos(Φ))^2 --> 0.87/24*(cos(0.5235987755982))^2
Evaluating ... ...
A = 0.0271875
STEP 3: Convert Result to Output's Unit
0.0271875 Square Meter --> No Conversion Required
FINAL ANSWER
0.0271875 0.027187 Square Meter <-- Area 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

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)

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

​LaTeX ​Go
Area of Underground AC Wire = Constant Underground AC/Length of Underground AC Wire*(cos(Phase Difference))^2
A = K/L*(cos(Φ))^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 vm so that r.m.s. value of voltage between them is vm/√2.

How to Calculate Area of X-Section using Constant (1-Phase 2-Wire US)?

Area of X-Section using Constant (1-Phase 2-Wire US) calculator uses Area of Underground AC Wire = Constant Underground AC/Length of Underground AC Wire*(cos(Phase Difference))^2 to calculate the Area of Underground AC Wire, The Area of X-Section using Constant (1-Phase 2-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 of X-Section using Constant (1-Phase 2-Wire US) using this online calculator? To use this online calculator for Area of X-Section using Constant (1-Phase 2-Wire US), enter Constant Underground AC (K), Length of Underground AC Wire (L) & Phase Difference (Φ) and hit the calculate button. Here is how the Area of X-Section using Constant (1-Phase 2-Wire US) calculation can be explained with given input values -> 0.027187 = 0.87/24*(cos(0.5235987755982))^2.

FAQ

What is Area of X-Section using Constant (1-Phase 2-Wire US)?
The Area of X-Section using Constant (1-Phase 2-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 = K/L*(cos(Φ))^2 or Area of Underground AC Wire = Constant Underground AC/Length of Underground AC Wire*(cos(Phase Difference))^2. Constant Underground AC is defined as the constant of line of a Overhead supply system, Length of Underground AC Wire is the total length of the wire from one end to other end & 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.
How to calculate Area of X-Section using Constant (1-Phase 2-Wire US)?
The Area of X-Section using Constant (1-Phase 2-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 = Constant Underground AC/Length of Underground AC Wire*(cos(Phase Difference))^2. To calculate Area of X-Section using Constant (1-Phase 2-Wire US), you need Constant Underground AC (K), Length of Underground AC Wire (L) & Phase Difference (Φ). With our tool, you need to enter the respective value for Constant Underground AC, Length of Underground AC Wire & Phase Difference 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 Constant Underground AC, Length of Underground AC Wire & Phase Difference. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • 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)
  • Area of Underground AC Wire = Volume Of Conductor/(2*Length of Underground AC Wire)
  • Area of Underground AC Wire = 2*(Current Underground AC)^2*Resistivity*Length of Underground AC Wire/(Line Losses)
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