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

STEP 0: Pre-Calculation Summary
Formula Used
Constant Underground AC = Area of Underground AC Wire*Length of Underground AC Wire*(cos(Phase Difference))^2
K = A*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
Constant Underground AC - Constant Underground AC is defined as the constant of line of a Overhead supply system.
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.
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
Area of Underground AC Wire: 1.28 Square Meter --> 1.28 Square Meter 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
K = A*L*(cos(Φ))^2 --> 1.28*24*(cos(0.5235987755982))^2
Evaluating ... ...
K = 23.04
STEP 3: Convert Result to Output's Unit
23.04 --> No Conversion Required
FINAL ANSWER
23.04 <-- Constant Underground AC
(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)

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

​LaTeX ​Go
Constant Underground AC = Area of Underground AC Wire*Length of Underground AC Wire*(cos(Phase Difference))^2
K = A*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 Constant using Area of X-Section (1-Phase 2-Wire US)?

Constant using Area of X-Section (1-Phase 2-Wire US) calculator uses Constant Underground AC = Area of Underground AC Wire*Length of Underground AC Wire*(cos(Phase Difference))^2 to calculate the Constant Underground AC, The Constant using Area of X-Section (1-Phase 2-Wire US) formula is defined as the total constant of a single-phase two-wire overhead system. it is represented by K. Constant Underground AC is denoted by K symbol.

How to calculate Constant using Area of X-Section (1-Phase 2-Wire US) using this online calculator? To use this online calculator for Constant using Area of X-Section (1-Phase 2-Wire US), enter Area of Underground AC Wire (A), Length of Underground AC Wire (L) & Phase Difference (Φ) and hit the calculate button. Here is how the Constant using Area of X-Section (1-Phase 2-Wire US) calculation can be explained with given input values -> 23.04 = 1.28*24*(cos(0.5235987755982))^2.

FAQ

What is Constant using Area of X-Section (1-Phase 2-Wire US)?
The Constant using Area of X-Section (1-Phase 2-Wire US) formula is defined as the total constant of a single-phase two-wire overhead system. it is represented by K and is represented as K = A*L*(cos(Φ))^2 or Constant Underground AC = Area of Underground AC Wire*Length of Underground AC Wire*(cos(Phase Difference))^2. Area of Underground AC Wire is defined as the cross-sectional area of the wire of an AC 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 Constant using Area of X-Section (1-Phase 2-Wire US)?
The Constant using Area of X-Section (1-Phase 2-Wire US) formula is defined as the total constant of a single-phase two-wire overhead system. it is represented by K is calculated using Constant Underground AC = Area of Underground AC Wire*Length of Underground AC Wire*(cos(Phase Difference))^2. To calculate Constant using Area of X-Section (1-Phase 2-Wire US), you need Area of Underground AC Wire (A), Length of Underground AC Wire (L) & Phase Difference (Φ). With our tool, you need to enter the respective value for Area of Underground AC Wire, 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 Constant Underground AC?
In this formula, Constant Underground AC uses Area of Underground AC Wire, Length of Underground AC Wire & Phase Difference. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Constant Underground AC = 4*Resistivity*(Power Transmitted*Length of Underground AC Wire)^2/(Line Losses*(Maximum Voltage Underground AC)^2)
  • Constant Underground AC = Volume Of Conductor*(cos(Phase Difference))^2/2
  • Constant Underground AC = 2*(Current Underground AC^2)*(cos(Phase Difference)^2)*Resistivity*(Length of Underground AC Wire^2)/Line Losses
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