Volume of Conductor Material when K is Given(3 Phase 4 Wire US) Solution

STEP 0: Pre-Calculation Summary
Formula Used
Volume Of Conductor = Constant Underground AC*1.75/(cos(Phase Difference)^2)
V = K*1.75/(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 = K*1.75/(cos(Φ)^2) --> 0.87*1.75/(cos(0.5235987755982)^2)
Evaluating ... ...
V = 2.03
STEP 3: Convert Result to Output's Unit
2.03 Cubic Meter --> No Conversion Required
FINAL ANSWER
2.03 Cubic Meter <-- Volume Of Conductor
(Calculation completed in 00.004 seconds)

Credits

Creator Image
Created by Urvi Rathod
Vishwakarma Government Engineering College (VGEC), Ahmedabad
Urvi Rathod has created this Calculator and 1500+ more calculators!
Verifier Image
Verified by Kethavath Srinath
Osmania University (OU), Hyderabad
Kethavath Srinath has verified this Calculator and 1200+ more calculators!

Wire Parameters Calculators

Line Losses using Volume of Conductor Material (3 Phase 4 Wire US)
​ LaTeX ​ 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)
​ LaTeX ​ Go Phase Difference = acos(sqrt(6)*Power Transmitted/(3*Maximum Voltage Underground AC*Current Underground AC))
Constant using Volume of Conductor Material (3 Phase 4 Wire US)
​ LaTeX ​ Go Constant Underground AC = Volume Of Conductor*(cos(Phase Difference))^2/(1.75)
Area of X-Section using Volume of Conductor Material (3 Phase 4 Wire US)
​ LaTeX ​ Go Area of Underground AC Wire = Volume Of Conductor/((3.5)*Length of Underground AC Wire)

Volume of Conductor Material when K is Given(3 Phase 4 Wire US) Formula

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

What is the volume of conductor material in 3-phase 4-wire underground 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.

How to Calculate Volume of Conductor Material when K is Given(3 Phase 4 Wire US)?

Volume of Conductor Material when K is Given(3 Phase 4 Wire US) calculator uses Volume Of Conductor = Constant Underground AC*1.75/(cos(Phase Difference)^2) to calculate the Volume Of Conductor, The Volume of Conductor Material when K is Given(3 phase 4 wire US) formula is defined as the 3-dimensional space enclosed by a conductor material of a three-phase four-wire earthed underground system. Volume Of Conductor is denoted by V symbol.

How to calculate Volume of Conductor Material when K is Given(3 Phase 4 Wire US) using this online calculator? To use this online calculator for Volume of Conductor Material when K is Given(3 Phase 4 Wire US), enter Constant Underground AC (K) & Phase Difference (Φ) and hit the calculate button. Here is how the Volume of Conductor Material when K is Given(3 Phase 4 Wire US) calculation can be explained with given input values -> 2.03 = 0.87*1.75/(cos(0.5235987755982)^2).

FAQ

What is Volume of Conductor Material when K is Given(3 Phase 4 Wire US)?
The Volume of Conductor Material when K is Given(3 phase 4 wire US) formula is defined as the 3-dimensional space enclosed by a conductor material of a three-phase four-wire earthed underground system and is represented as V = K*1.75/(cos(Φ)^2) or Volume Of Conductor = Constant Underground AC*1.75/(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 when K is Given(3 Phase 4 Wire US)?
The Volume of Conductor Material when K is Given(3 phase 4 wire US) formula is defined as the 3-dimensional space enclosed by a conductor material of a three-phase four-wire earthed underground system is calculated using Volume Of Conductor = Constant Underground AC*1.75/(cos(Phase Difference)^2). To calculate Volume of Conductor Material when K is Given(3 Phase 4 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 3 other way(s) to calculate the same, which is/are as follows -
  • Volume Of Conductor = 18*Resistivity*(Current Underground AC^2)*(Length of Underground AC Wire^2)/(2*Line Losses)
  • Volume Of Conductor = 3.5*Area of Underground AC Wire*Length of Underground AC Wire
  • 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))
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!