Constant using Load Current (1-Phase 2-Wire US) Solution

STEP 0: Pre-Calculation Summary
Formula Used
Constant Underground AC = 2*(Current Underground AC^2)*(cos(Phase Difference)^2)*Resistivity*(Length of Underground AC Wire^2)/Line Losses
K = 2*(I^2)*(cos(Φ)^2)*ρ*(L^2)/Ploss
This formula uses 1 Functions, 6 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.
Current Underground AC - (Measured in Ampere) - Current Underground AC is defined as the current flowing through the overhead ac supply wire.
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.
Resistivity - (Measured in Ohm Meter) - Resistivity is the measure of how strongly a material opposes the flow of current through them.
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.
Line Losses - (Measured in Watt) - Line Losses is defined as the total losses occurring in an Underground AC line when in use.
STEP 1: Convert Input(s) to Base Unit
Current Underground AC: 9 Ampere --> 9 Ampere No Conversion Required
Phase Difference: 30 Degree --> 0.5235987755982 Radian (Check conversion ​here)
Resistivity: 1.7E-05 Ohm Meter --> 1.7E-05 Ohm Meter No Conversion Required
Length of Underground AC Wire: 24 Meter --> 24 Meter No Conversion Required
Line Losses: 2.67 Watt --> 2.67 Watt No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
K = 2*(I^2)*(cos(Φ)^2)*ρ*(L^2)/Ploss --> 2*(9^2)*(cos(0.5235987755982)^2)*1.7E-05*(24^2)/2.67
Evaluating ... ...
K = 0.445591011235955
STEP 3: Convert Result to Output's Unit
0.445591011235955 --> No Conversion Required
FINAL ANSWER
0.445591011235955 0.445591 <-- 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 Load Current (1-Phase 2-Wire US) Formula

​LaTeX ​Go
Constant Underground AC = 2*(Current Underground AC^2)*(cos(Phase Difference)^2)*Resistivity*(Length of Underground AC Wire^2)/Line Losses
K = 2*(I^2)*(cos(Φ)^2)*ρ*(L^2)/Ploss

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 Load Current (1-Phase 2-Wire US)?

Constant using Load Current (1-Phase 2-Wire US) calculator uses Constant Underground AC = 2*(Current Underground AC^2)*(cos(Phase Difference)^2)*Resistivity*(Length of Underground AC Wire^2)/Line Losses to calculate the Constant Underground AC, The Constant using Load Current (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 Load Current (1-Phase 2-Wire US) using this online calculator? To use this online calculator for Constant using Load Current (1-Phase 2-Wire US), enter Current Underground AC (I), Phase Difference (Φ), Resistivity (ρ), Length of Underground AC Wire (L) & Line Losses (Ploss) and hit the calculate button. Here is how the Constant using Load Current (1-Phase 2-Wire US) calculation can be explained with given input values -> 0.445591 = 2*(9^2)*(cos(0.5235987755982)^2)*1.7E-05*(24^2)/2.67.

FAQ

What is Constant using Load Current (1-Phase 2-Wire US)?
The Constant using Load Current (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 = 2*(I^2)*(cos(Φ)^2)*ρ*(L^2)/Ploss or Constant Underground AC = 2*(Current Underground AC^2)*(cos(Phase Difference)^2)*Resistivity*(Length of Underground AC Wire^2)/Line Losses. Current Underground AC is defined as the current flowing through the overhead ac supply wire, 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, Resistivity is the measure of how strongly a material opposes the flow of current through them, Length of Underground AC Wire is the total length of the wire from one end to other end & Line Losses is defined as the total losses occurring in an Underground AC line when in use.
How to calculate Constant using Load Current (1-Phase 2-Wire US)?
The Constant using Load Current (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 = 2*(Current Underground AC^2)*(cos(Phase Difference)^2)*Resistivity*(Length of Underground AC Wire^2)/Line Losses. To calculate Constant using Load Current (1-Phase 2-Wire US), you need Current Underground AC (I), Phase Difference (Φ), Resistivity (ρ), Length of Underground AC Wire (L) & Line Losses (Ploss). With our tool, you need to enter the respective value for Current Underground AC, Phase Difference, Resistivity, Length of Underground AC Wire & Line Losses 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 Current Underground AC, Phase Difference, Resistivity, Length of Underground AC Wire & Line Losses. 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 = Area of Underground AC Wire*Length of Underground AC Wire*(cos(Phase Difference))^2
  • Constant Underground AC = Volume Of Conductor*(cos(Phase Difference))^2/2
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