Volume of Conductor Material using Constant(1 Phase 3 Wire US) Solution

STEP 0: Pre-Calculation Summary
Formula Used
Volume Of Conductor = 2.5*Constant Underground AC/(cos(Phase Difference)^2)
V = 2.5*K/(cos(Φ)^2)
This formula uses 1 Functions, 3 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
Volume Of Conductor - (Measured in Cubic Meter) - Volume Of Conductor the 3-dimensional space enclosed by a conductor material.
Constant Underground AC - Constant Underground AC is defined as the constant of line of a Overhead supply system.
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
Phase Difference: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V = 2.5*K/(cos(Φ)^2) --> 2.5*0.87/(cos(0.5235987755982)^2)
Evaluating ... ...
V = 2.9
STEP 3: Convert Result to Output's Unit
2.9 Cubic Meter --> No Conversion Required
FINAL ANSWER
2.9 Cubic Meter <-- Volume Of Conductor
(Calculation completed in 00.004 seconds)

Credits

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

Volume of Conductor Material using Resistance (1 Phase 3 Wire US)
Go Volume Of Conductor = (10*(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 Volume of Conductor Material(1 Phase 3 Wire US)
Go Phase Difference = acos(sqrt(10*Resistivity*((Power Transmitted*Length of Underground AC Wire)^2)/(Line Losses*Volume Of Conductor*((Maximum Voltage Underground AC)^2))))
Length using Volume of Conductor Material(1 Phase 3 Wire US)
Go Length of Underground AC Wire = sqrt(Volume Of Conductor*Line Losses*(cos(Phase Difference)*Maximum Voltage Underground AC)^2/((10)*Resistivity*(Power Transmitted^2)))
Angle using Area of X Section (1 Phase 3 Wire US)
Go Phase Difference = acos((2*Power Transmitted/Maximum Voltage Underground AC)*sqrt(Resistivity*Length of Underground AC Wire/(Line Losses*Area of Underground AC Wire)))
Length using Area of X Section (1 Phase 3 Wire US)
Go Length of Underground AC Wire = Area of Underground AC Wire*Line Losses*(Maximum Voltage Underground AC^2)*(cos(Phase Difference)^2)/(4*(Power Transmitted^2)*Resistivity)
Line Losses using Area of X Section (1 Phase 3 Wire US)
Go Line Losses = 2*Resistivity*Length of Underground AC Wire*(Power Transmitted^2)/(Area of Underground AC Wire*(Maximum Voltage Underground AC^2*cos(Phase Difference)^2))
Volume of Conductor Material(1 Phase 3 Wire US)
Go Volume Of Conductor = 10*(Power Transmitted^2)*Resistivity*(Length of Underground AC Wire^2)/(Line Losses*(Maximum Voltage Underground AC^2)*(cos(Phase Difference)^2))
Line Losses using Volume of Conductor Material(1 Phase 3 Wire US)
Go Line Losses = 10*Resistivity*((Power Transmitted*Length of Underground AC Wire)^2)/(Volume Of Conductor*((Maximum Voltage Underground AC*cos(Phase Difference))^2))
Area of X-Section using Line Losses (1 Phase 3 Wire US)
Go Area of Underground AC Wire = 2*Resistivity*Length of Underground AC Wire*(Current Underground AC^2)/Line Losses
Length using Line Losses (1 Phase 3 Wire US)
Go Length of Underground AC Wire = Area of Underground AC Wire*Line Losses/(2*Current Underground AC*Resistivity)
Volume of Conductor Material using Load Current(1 Phase 3 Wire US)
Go Volume Of Conductor = 5*Resistivity*(Length of Underground AC Wire^2)*(Current Underground AC^2)/Line Losses
Constant using Volume of Conductor Material(1 Phase 3 Wire US)
Go Constant Underground AC = Volume Of Conductor*(cos(Phase Difference)^2)/(2.5)
Volume of Conductor Material using Constant(1 Phase 3 Wire US)
Go Volume Of Conductor = 2.5*Constant Underground AC/(cos(Phase Difference)^2)
Volume of Conductor Material using Area and Length (1 Phase 3 Wire US)
Go Volume Of Conductor = Area of Underground AC Wire*Length of Underground AC Wire*2.5

Volume of Conductor Material using Constant(1 Phase 3 Wire US) Formula

Volume Of Conductor = 2.5*Constant Underground AC/(cos(Phase Difference)^2)
V = 2.5*K/(cos(Φ)^2)

What is the volume of conductor material in 1-phase 3-wire underground system?

The volume of conductor material required in this system is 2.5/cos2θ times that of 2-wire d.c.system with the one conductor earthed.

How to Calculate Volume of Conductor Material using Constant(1 Phase 3 Wire US)?

Volume of Conductor Material using Constant(1 Phase 3 Wire US) calculator uses Volume Of Conductor = 2.5*Constant Underground AC/(cos(Phase Difference)^2) to calculate the Volume Of Conductor, The Volume of Conductor Material using Constant(1 phase 3 wire US) formula is defined as the 3-dimensional space enclosed by a conductor material of a 1-phase 3-wire underground system. Volume Of Conductor is denoted by V symbol.

How to calculate Volume of Conductor Material using Constant(1 Phase 3 Wire US) using this online calculator? To use this online calculator for Volume of Conductor Material using Constant(1 Phase 3 Wire US), enter Constant Underground AC (K) & Phase Difference (Φ) and hit the calculate button. Here is how the Volume of Conductor Material using Constant(1 Phase 3 Wire US) calculation can be explained with given input values -> 2.9 = 2.5*0.87/(cos(0.5235987755982)^2).

FAQ

What is Volume of Conductor Material using Constant(1 Phase 3 Wire US)?
The Volume of Conductor Material using Constant(1 phase 3 wire US) formula is defined as the 3-dimensional space enclosed by a conductor material of a 1-phase 3-wire underground system and is represented as V = 2.5*K/(cos(Φ)^2) or Volume Of Conductor = 2.5*Constant Underground AC/(cos(Phase Difference)^2). Constant Underground AC is defined as the constant of line of a Overhead supply system & 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 Volume of Conductor Material using Constant(1 Phase 3 Wire US)?
The Volume of Conductor Material using Constant(1 phase 3 wire US) formula is defined as the 3-dimensional space enclosed by a conductor material of a 1-phase 3-wire underground system is calculated using Volume Of Conductor = 2.5*Constant Underground AC/(cos(Phase Difference)^2). To calculate Volume of Conductor Material using Constant(1 Phase 3 Wire US), you need Constant Underground AC (K) & Phase Difference (Φ). With our tool, you need to enter the respective value for Constant Underground AC & 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 Volume Of Conductor?
In this formula, Volume Of Conductor uses Constant Underground AC & Phase Difference. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • Volume Of Conductor = 10*(Power Transmitted^2)*Resistivity*(Length of Underground AC Wire^2)/(Line Losses*(Maximum Voltage Underground AC^2)*(cos(Phase Difference)^2))
  • Volume Of Conductor = 5*Resistivity*(Length of Underground AC Wire^2)*(Current Underground AC^2)/Line Losses
  • Volume Of Conductor = (10*(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))
  • Volume Of Conductor = Area of Underground AC Wire*Length of Underground AC Wire*2.5
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