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Constant Overhead AC is defined as the constant of line of a Overhead supply system. Check FAQs
K=32ρ(ILcos(Φ))2Ploss
K - Constant Overhead AC?ρ - Resistivity?I - Current Overhead AC?L - Length of Overhead AC Wire?Φ - Phase Difference?Ploss - Line Losses?

Constant using Load Current (Single-Phase Three-Wire OS) Example

With values
With units
Only example

Here is how the Constant using Load Current (Single-Phase Three-Wire OS) equation looks like with Values.

Here is how the Constant using Load Current (Single-Phase Three-Wire OS) equation looks like with Units.

Here is how the Constant using Load Current (Single-Phase Three-Wire OS) equation looks like.

0.2667Edit=321.7E-5Edit(6.9Edit10.63Editcos(30Edit))28.23Edit
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Constant using Load Current (Single-Phase Three-Wire OS) Solution

Follow our step by step solution on how to calculate Constant using Load Current (Single-Phase Three-Wire OS)?

FIRST Step Consider the formula
K=32ρ(ILcos(Φ))2Ploss
Next Step Substitute values of Variables
K=321.7E-5Ω*m(6.9A10.63mcos(30°))28.23W
Next Step Convert Units
K=321.7E-5Ω*m(6.9A10.63mcos(0.5236rad))28.23W
Next Step Prepare to Evaluate
K=321.7E-5(6.910.63cos(0.5236))28.23
Next Step Evaluate
K=0.266701242147266
LAST Step Rounding Answer
K=0.2667

Constant using Load Current (Single-Phase Three-Wire OS) Formula Elements

Variables
Functions
Constant Overhead AC
Constant Overhead AC is defined as the constant of line of a Overhead supply system.
Symbol: K
Measurement: NAUnit: Unitless
Note: Value can be positive or negative.
Resistivity
Resistivity is the measure of how strongly a material opposes the flow of current through them.
Symbol: ρ
Measurement: Electric ResistivityUnit: Ω*m
Note: Value can be positive or negative.
Current Overhead AC
Current Overhead AC is defined as the current flowing through the overhead ac supply wire.
Symbol: I
Measurement: Electric CurrentUnit: A
Note: Value can be positive or negative.
Length of Overhead AC Wire
Length of Overhead AC Wire is the total length of the wire from one end to other end.
Symbol: L
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Phase Difference
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.
Symbol: Φ
Measurement: AngleUnit: °
Note: Value should be greater than 0.
Line Losses
Line Losses is defined as the total losses occurring in an Overhead AC line when in use.
Symbol: Ploss
Measurement: PowerUnit: W
Note: Value can be positive or negative.
cos
Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.
Syntax: cos(Angle)

Other Formulas to find Constant Overhead AC

​Go Constant(Single-Phase Three-Wire OS)
K=4(P2)ρLPloss(Vac2)
​Go Constant using Line Losses (Single-Phase Three-Wire OS)
K=4ρ(PL)2Ploss(Vm)2
​Go Constant using Volume of Conductor Material (Single-Phase Three-Wire OS)
K=V(cos(Φ))20.625

Other formulas in Wire Parameters category

​Go Area of X-Section(Single-Phase Three-Wire OS)
A=(P2)ρL((cos(Φ))2)Ploss(Vm2)
​Go Line Losses(Single-Phase Three-Wire OS)
Ploss=(2)((I)2)R
​Go Volume of Conductor Material(Single-Phase Three-Wire OS)
V=(2.5)AL
​Go Length of Wire using Area of X-Section(Single-Phase Three-Wire OS)
L=A(Vm2)Ploss(cos(Φ))2ρ(P2)

How to Evaluate Constant using Load Current (Single-Phase Three-Wire OS)?

Constant using Load Current (Single-Phase Three-Wire OS) evaluator uses Constant Overhead AC = 32*Resistivity*(Current Overhead AC*Length of Overhead AC Wire*cos(Phase Difference))^2/Line Losses to evaluate the Constant Overhead AC, The Constant using Load Current (single-Phase three-Wire OS) formula is defined as the total constant of a single-phase three-wire overhead system. it is represented by K. Constant Overhead AC is denoted by K symbol.

How to evaluate Constant using Load Current (Single-Phase Three-Wire OS) using this online evaluator? To use this online evaluator for Constant using Load Current (Single-Phase Three-Wire OS), enter Resistivity (ρ), Current Overhead AC (I), Length of Overhead AC Wire (L), Phase Difference (Φ) & Line Losses (Ploss) and hit the calculate button.

FAQs on Constant using Load Current (Single-Phase Three-Wire OS)

What is the formula to find Constant using Load Current (Single-Phase Three-Wire OS)?
The formula of Constant using Load Current (Single-Phase Three-Wire OS) is expressed as Constant Overhead AC = 32*Resistivity*(Current Overhead AC*Length of Overhead AC Wire*cos(Phase Difference))^2/Line Losses. Here is an example- 0.266701 = 32*1.7E-05*(6.9*10.63*cos(0.5235987755982))^2/8.23.
How to calculate Constant using Load Current (Single-Phase Three-Wire OS)?
With Resistivity (ρ), Current Overhead AC (I), Length of Overhead AC Wire (L), Phase Difference (Φ) & Line Losses (Ploss) we can find Constant using Load Current (Single-Phase Three-Wire OS) using the formula - Constant Overhead AC = 32*Resistivity*(Current Overhead AC*Length of Overhead AC Wire*cos(Phase Difference))^2/Line Losses. This formula also uses Cosine function(s).
What are the other ways to Calculate Constant Overhead AC?
Here are the different ways to Calculate Constant Overhead AC-
  • Constant Overhead AC=(4*(Power Transmitted^2)*Resistivity*Length of Overhead AC Wire)/(Line Losses*(Voltage Overhead AC^2))OpenImg
  • Constant Overhead AC=(4*Resistivity*(Power Transmitted*Length of Overhead AC Wire)^2)/(Line Losses*(Maximum Voltage Overhead AC)^2)OpenImg
  • Constant Overhead AC=Volume of Conductor*(cos(Phase Difference))^2/(0.625)OpenImg
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