Constant using Load Current (Single Phase Two Wire Mid-Point OS) Solution

STEP 0: Pre-Calculation Summary
Formula Used
Constant Overhead AC = (8*Current Overhead AC^2*cos(Phase Difference)^2*Resistivity*Length of Overhead AC Wire^2)/Line Losses
K = (8*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 Overhead AC - Constant Overhead AC is defined as the constant of line of a Overhead supply system.
Current Overhead AC - (Measured in Ampere) - Current Overhead 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 Overhead AC Wire - (Measured in Meter) - Length of Overhead 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 Overhead AC line when in use.
STEP 1: Convert Input(s) to Base Unit
Current Overhead AC: 6.9 Ampere --> 6.9 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 Overhead AC Wire: 10.63 Meter --> 10.63 Meter No Conversion Required
Line Losses: 8.23 Watt --> 8.23 Watt No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
K = (8*I^2*cos(Φ)^2*ρ*L^2)/Ploss --> (8*6.9^2*cos(0.5235987755982)^2*1.7E-05*10.63^2)/8.23
Evaluating ... ...
K = 0.0666753105368165
STEP 3: Convert Result to Output's Unit
0.0666753105368165 --> No Conversion Required
FINAL ANSWER
0.0666753105368165 0.066675 <-- Constant Overhead AC
(Calculation completed in 00.020 seconds)

Credits

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

Length of Wire using Area of X-Section(Single Phase Two Wire Mid-Point Earthed OS)
Go Length of Overhead AC Wire = (Area of Overhead AC Wire*Maximum Voltage Overhead AC^2*Line Losses*cos(Phase Difference)^2)/(Resistivity*Power Transmitted^2)
Line Losses using Area of X-Section(Single Phase Two Wire Mid-Point Earthed OS)
Go Line Losses = (Length of Overhead AC Wire*Resistivity*Power Transmitted^2)/(Area of Overhead AC Wire*Maximum Voltage Overhead AC^2*cos(Phase Difference)^2)
Area of X-Section using Line Losses (Single Phase Two Wire Mid-Point OS)
Go Area of Overhead AC Wire = (Resistivity*Length of Overhead AC Wire*Power Transmitted^2)/(Line Losses*(Maximum Voltage Overhead AC*cos(Phase Difference))^2)
Volume of Conductor Material using Line Losses (Single Phase Two Wire Mid-Point OS)
Go Volume of Conductor = (2*Resistivity*Power Transmitted^2*Length of Overhead AC Wire^2)/(Line Losses*Maximum Voltage Overhead AC*cos(Phase Difference)^2)
Area of X-Section(Single Phase Two Wire Mid-Point Earthed)
Go Area of Overhead AC Wire = (Power Transmitted^2*Resistivity*Length of Overhead AC Wire)/(((cos(Phase Difference))^2)*Line Losses*Voltage Overhead AC^2)
Constant using Load Current (Single Phase Two Wire Mid-Point OS)
Go Constant Overhead AC = (8*Current Overhead AC^2*cos(Phase Difference)^2*Resistivity*Length of Overhead AC Wire^2)/Line Losses
Constant using Line Losses (Single Phase Two Wire Mid-Point OS)
Go Constant Overhead AC = (4*Resistivity*Power Transmitted^2*Length of Overhead AC Wire^2)/(Line Losses*Maximum Voltage Overhead AC^2)
Constant (Single Phase Two Wire Mid-Point Earthed)
Go Constant Overhead AC = (4*Power Transmitted^2*Resistivity*Length of Overhead AC Wire)/(Line Losses*Voltage Overhead AC^2)
Length using Load Current (Single Phase Two-Wire Mid-Point OS)
Go Length of Overhead AC Wire = (Line Losses*Area of Overhead AC Wire)/(2*(Current Overhead AC)^2*Resistivity)
Volume of Conductor Material using Load Current (Single Phase Two Wire Mid-Point OS)
Go Volume of Conductor = (4*(Current Overhead AC^2)*Resistivity*(Length of Overhead AC Wire^2))/(Line Losses)
Area of X-Section using Load Current (Single Phase Two Wire Mid-Point OS)
Go Area of Overhead AC Wire = (2*Current Overhead AC^2*Resistivity*Length of Overhead AC Wire)/(Line Losses)
Line Losses using Load Current (Single Phase Two Wire Mid-Point OS)
Go Line Losses = 2*Current Overhead AC^2*Resistance Overhead AC

Constant using Load Current (Single Phase Two Wire Mid-Point OS) Formula

Constant Overhead AC = (8*Current Overhead AC^2*cos(Phase Difference)^2*Resistivity*Length of Overhead AC Wire^2)/Line Losses
K = (8*I^2*cos(Φ)^2*ρ*L^2)/Ploss

What is the value of maximum voltage and volume of conductor material in this system?

The volume of conductor material required in this system is 1/2cos2θ times that of 2-wire d.c.system with the one conductor earthed. The maximum voltage between conductors is 2vm so that r.m.s. value of voltage between them is √2vm.

How to Calculate Constant using Load Current (Single Phase Two Wire Mid-Point OS)?

Constant using Load Current (Single Phase Two Wire Mid-Point OS) calculator uses Constant Overhead AC = (8*Current Overhead AC^2*cos(Phase Difference)^2*Resistivity*Length of Overhead AC Wire^2)/Line Losses to calculate the Constant Overhead AC, The Constant using Load Current (single Phase two Wire Mid-Point OS) formula is defined as the total constant of a single-phase two-wire mid-point overhead system. it is represented by K. Constant Overhead AC is denoted by K symbol.

How to calculate Constant using Load Current (Single Phase Two Wire Mid-Point OS) using this online calculator? To use this online calculator for Constant using Load Current (Single Phase Two Wire Mid-Point OS), enter Current Overhead AC (I), Phase Difference (Φ), Resistivity (ρ), Length of Overhead AC Wire (L) & Line Losses (Ploss) and hit the calculate button. Here is how the Constant using Load Current (Single Phase Two Wire Mid-Point OS) calculation can be explained with given input values -> 0.066675 = (8*6.9^2*cos(0.5235987755982)^2*1.7E-05*10.63^2)/8.23.

FAQ

What is Constant using Load Current (Single Phase Two Wire Mid-Point OS)?
The Constant using Load Current (single Phase two Wire Mid-Point OS) formula is defined as the total constant of a single-phase two-wire mid-point overhead system. it is represented by K and is represented as K = (8*I^2*cos(Φ)^2*ρ*L^2)/Ploss or Constant Overhead AC = (8*Current Overhead AC^2*cos(Phase Difference)^2*Resistivity*Length of Overhead AC Wire^2)/Line Losses. Current Overhead 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 Overhead 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 Overhead AC line when in use.
How to calculate Constant using Load Current (Single Phase Two Wire Mid-Point OS)?
The Constant using Load Current (single Phase two Wire Mid-Point OS) formula is defined as the total constant of a single-phase two-wire mid-point overhead system. it is represented by K is calculated using Constant Overhead AC = (8*Current Overhead AC^2*cos(Phase Difference)^2*Resistivity*Length of Overhead AC Wire^2)/Line Losses. To calculate Constant using Load Current (Single Phase Two Wire Mid-Point OS), you need Current Overhead AC (I), Phase Difference (Φ), Resistivity (ρ), Length of Overhead AC Wire (L) & Line Losses (Ploss). With our tool, you need to enter the respective value for Current Overhead AC, Phase Difference, Resistivity, Length of Overhead 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 Overhead AC?
In this formula, Constant Overhead AC uses Current Overhead AC, Phase Difference, Resistivity, Length of Overhead AC Wire & Line Losses. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Constant Overhead AC = (4*Power Transmitted^2*Resistivity*Length of Overhead AC Wire)/(Line Losses*Voltage Overhead AC^2)
  • Constant Overhead AC = (4*Resistivity*Power Transmitted^2*Length of Overhead AC Wire^2)/(Line Losses*Maximum Voltage Overhead AC^2)
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