Constant using Volume of Conductor Material (3 Phase 4 Wire US) Solution

STEP 0: Pre-Calculation Summary
Formula Used
Constant Underground AC = Volume Of Conductor*(cos(Phase Difference))^2/(1.75)
K = V*(cos(Φ))^2/(1.75)
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
Constant Underground AC - Constant Underground AC is defined as the constant of line of a Overhead supply system.
Volume Of Conductor - (Measured in Cubic Meter) - Volume Of Conductor the 3-dimensional space enclosed by a conductor material.
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
Volume Of Conductor: 60 Cubic Meter --> 60 Cubic Meter No Conversion Required
Phase Difference: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
K = V*(cos(Φ))^2/(1.75) --> 60*(cos(0.5235987755982))^2/(1.75)
Evaluating ... ...
K = 25.7142857142857
STEP 3: Convert Result to Output's Unit
25.7142857142857 --> No Conversion Required
FINAL ANSWER
25.7142857142857 25.71429 <-- Constant Underground AC
(Calculation completed in 00.020 seconds)

Credits

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18 Wire Parameters Calculators

Volume of Conductor Material when Resistance is Given(3 Phase 4 Wire US)
Go Volume Of Conductor = (7*Resistance Underground AC*Area of Underground AC Wire*(Power Transmitted^2)*(Length of Underground AC Wire))/(Line Losses*(Maximum Voltage Underground AC^2)*(cos(Phase Difference)^2))
Angle using Area of X-Section (3 Phase 4 Wire US)
Go Phase Difference = acos((Power Transmitted/Maximum Voltage Underground AC)*sqrt(2*Resistivity*Length of Underground AC Wire/(Area of Underground AC Wire*Line Losses)))
Angle using Line Losses (3 Phase 4 Wire US)
Go Phase Difference = acos((Power Transmitted/Maximum Voltage Underground AC)*sqrt(2*Resistivity*Length of Underground AC Wire/(Line Losses*Area of Underground AC Wire)))
Length using Area of X-Section (3 Phase 4 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*Resistivity*(Power Transmitted^2))
Line Losses using Area of X-Section (3 Phase 4 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))
Area of X-Section (3 Phase 4 Wire US)
Go Area of Underground AC Wire = (Power Transmitted^2)*2*Resistivity*Length of Underground AC Wire/(Line Losses*(Maximum Voltage Underground AC^2)*(cos(Phase Difference)^2))
Line Losses (3 Phase 4 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 (3 Phase 4 Wire US)
Go Volume Of Conductor = 7*Resistivity*(Power Transmitted^2)*(Length of Underground AC Wire^2)/(Line Losses*(Maximum Voltage Underground AC^2)*(cos(Phase Difference)^2))
Line Losses using Volume of Conductor Material (3 Phase 4 Wire US)
Go Line Losses = 7*(Power Transmitted)^2*Resistivity*(Length of Underground AC Wire)^2/((Maximum Voltage Underground AC*cos(Phase Difference))^2*Volume Of Conductor)
Angle using Load Current (3 Phase 4 Wire US)
Go Phase Difference = acos(sqrt(6)*Power Transmitted/(3*Maximum Voltage Underground AC*Current Underground AC))
Length using Line Losses (3 Phase 4 Wire US)
Go Length of Underground AC Wire = Line Losses*Area of Underground AC Wire/(2*(Current Underground AC^2)*Resistivity)
Volume of Conductor Material using Load Current (3 Phase 4 Wire US)
Go Volume Of Conductor = 18*Resistivity*(Current Underground AC^2)*(Length of Underground AC Wire^2)/(2*Line Losses)
Line Losses using Load Current (3 Phase 4 Wire US)
Go Line Losses = 3*(Current Underground AC^2)*Resistivity*Length of Underground AC Wire/Area of Underground AC Wire
Area using Line Losses (3 Phase 4 Wire US)
Go Area of Underground AC Wire = (Current Underground AC^2)*2*Resistivity*Length of Underground AC Wire/Line Losses
Constant using Volume of Conductor Material (3 Phase 4 Wire US)
Go Constant Underground AC = Volume Of Conductor*(cos(Phase Difference))^2/(1.75)
Volume of Conductor Material when K is Given(3 Phase 4 Wire US)
Go Volume Of Conductor = Constant Underground AC*1.75/(cos(Phase Difference)^2)
Area of X-Section using Volume of Conductor Material (3 Phase 4 Wire US)
Go Area of Underground AC Wire = Volume Of Conductor/((3.5)*Length of Underground AC Wire)
Volume of Conductor Material when Area and Length is Given(3 Phase 4 Wire US)
Go Volume Of Conductor = 3.5*Area of Underground AC Wire*Length of Underground AC Wire

Constant using Volume of Conductor Material (3 Phase 4 Wire US) Formula

Constant Underground AC = Volume Of Conductor*(cos(Phase Difference))^2/(1.75)
K = V*(cos(Φ))^2/(1.75)

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 1.75/cos2θ times that of 2-wire d.c.system with the one conductor earthed. The maximum voltage between conductors is vm/√3 so that r.m.s. value of voltage between them is vm/√6.

How to Calculate Constant using Volume of Conductor Material (3 Phase 4 Wire US)?

Constant using Volume of Conductor Material (3 Phase 4 Wire US) calculator uses Constant Underground AC = Volume Of Conductor*(cos(Phase Difference))^2/(1.75) to calculate the Constant Underground AC, The Constant using Volume of Conductor Material (3 phase 4 wire US) formula is defined as the total constant of a 3-phase 4-wire underground system. it is represented by K. Constant Underground AC is denoted by K symbol.

How to calculate Constant using Volume of Conductor Material (3 Phase 4 Wire US) using this online calculator? To use this online calculator for Constant using Volume of Conductor Material (3 Phase 4 Wire US), enter Volume Of Conductor (V) & Phase Difference (Φ) and hit the calculate button. Here is how the Constant using Volume of Conductor Material (3 Phase 4 Wire US) calculation can be explained with given input values -> 25.71429 = 60*(cos(0.5235987755982))^2/(1.75).

FAQ

What is Constant using Volume of Conductor Material (3 Phase 4 Wire US)?
The Constant using Volume of Conductor Material (3 phase 4 wire US) formula is defined as the total constant of a 3-phase 4-wire underground system. it is represented by K and is represented as K = V*(cos(Φ))^2/(1.75) or Constant Underground AC = Volume Of Conductor*(cos(Phase Difference))^2/(1.75). Volume Of Conductor the 3-dimensional space enclosed by a conductor material & 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 Constant using Volume of Conductor Material (3 Phase 4 Wire US)?
The Constant using Volume of Conductor Material (3 phase 4 wire US) formula is defined as the total constant of a 3-phase 4-wire underground system. it is represented by K is calculated using Constant Underground AC = Volume Of Conductor*(cos(Phase Difference))^2/(1.75). To calculate Constant using Volume of Conductor Material (3 Phase 4 Wire US), you need Volume Of Conductor (V) & Phase Difference (Φ). With our tool, you need to enter the respective value for Volume Of Conductor & Phase Difference and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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