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

✖Resistivity is the measure of how strongly a material opposes the flow of current through them.ⓘ Resistivity [ρ]			+10% -10%
✖Current Overhead AC is defined as the current flowing through the overhead ac supply wire.ⓘ Current Overhead AC [I]			+10% -10%
✖Length of Overhead AC Wire is the total length of the wire from one end to other end.ⓘ Length of Overhead AC Wire [L]			+10% -10%
✖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.ⓘ Phase Difference [Φ]			+10% -10%
✖Line Losses is defined as the total losses occurring in an Overhead AC line when in use.ⓘ Line Losses [P_loss]			+10% -10%

✖Constant Overhead AC is defined as the constant of line of a Overhead supply system.ⓘ Constant using Load Current (Single-Phase Three-Wire OS) [K]

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

STEP 0: Pre-Calculation Summary

Formula Used

Constant Overhead AC = 32*Resistivity*(Current Overhead AC*Length of Overhead AC Wire*cos(Phase Difference))^2/Line Losses
K = 32*ρ*(I*L*cos(Φ))^2/P_loss
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.
Resistivity - (Measured in Ohm Meter) - Resistivity is the measure of how strongly a material opposes the flow of current through them.
Current Overhead AC - (Measured in Ampere) - Current Overhead AC is defined as the current flowing through the overhead ac supply wire.
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.
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.
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

Resistivity: 1.7E-05 Ohm Meter --> 1.7E-05 Ohm Meter No Conversion Required
Current Overhead AC: 6.9 Ampere --> 6.9 Ampere No Conversion Required
Length of Overhead AC Wire: 10.63 Meter --> 10.63 Meter No Conversion Required
Phase Difference: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
Line Losses: 8.23 Watt --> 8.23 Watt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K = 32*ρ*(I*L*cos(Φ))^2/P_loss --> 32*1.7E-05*(6.9*10.63*cos(0.5235987755982))^2/8.23

Evaluating ... ...

K = 0.266701242147266

STEP 3: Convert Result to Output's Unit

0.266701242147266 --> No Conversion Required

FINAL ANSWER

0.266701242147266 ≈ 0.266701 <-- Constant Overhead AC

(Calculation completed in 00.004 seconds)

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< Wire Parameters Calculators

Area of X-Section(Single-Phase Three-Wire OS)

LaTeX Go Area of Overhead AC Wire = (Power Transmitted^2)*Resistivity*Length of Overhead AC Wire/(((cos(Phase Difference))^2)*Line Losses*(Maximum Voltage Overhead AC^2))

Constant(Single-Phase Three-Wire OS)

LaTeX Go Constant Overhead AC = (4*(Power Transmitted^2)*Resistivity*Length of Overhead AC Wire)/(Line Losses*(Voltage Overhead AC^2))

Volume of Conductor Material(Single-Phase Three-Wire OS)

LaTeX Go Volume of Conductor = (2.5)*Area of Overhead AC Wire*Length of Overhead AC Wire

Line Losses(Single-Phase Three-Wire OS)

LaTeX Go Line Losses = (2)*((Current Overhead AC)^2)*Resistance Overhead AC

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

LaTeX Go

Constant Overhead AC = 32*Resistivity*(Current Overhead AC*Length of Overhead AC Wire*cos(Phase Difference))^2/Line Losses
K = 32*ρ*(I*L*cos(Φ))^2/P_loss

What is the value of maximum voltage and volume of conductor material in 1-phase 3-wire system?

The volume of conductor material required in this system is 5/8cos²θ times that of 2-wire d.c.system with the one conductor earthed. The maximum voltage between conductors is 2v_m so that r.m.s. value of voltage between them is √2/v_m.

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

Constant using Load Current (Single-Phase Three-Wire OS) calculator uses Constant Overhead AC = 32*Resistivity*(Current Overhead AC*Length of Overhead AC Wire*cos(Phase Difference))^2/Line Losses to calculate 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 calculate Constant using Load Current (Single-Phase Three-Wire OS) using this online calculator? To use this online calculator 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 (P_loss) and hit the calculate button. Here is how the Constant using Load Current (Single-Phase Three-Wire OS) calculation can be explained with given input values -> 0.266701 = 32*1.7E-05*(6.9*10.63*cos(0.5235987755982))^2/8.23.

FAQ

What is Constant using Load Current (Single-Phase Three-Wire OS)?

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 and is represented as K = 32*ρ*(I*L*cos(Φ))^2/P_loss or Constant Overhead AC = 32*Resistivity*(Current Overhead AC*Length of Overhead AC Wire*cos(Phase Difference))^2/Line Losses. Resistivity is the measure of how strongly a material opposes the flow of current through them, Current Overhead AC is defined as the current flowing through the overhead ac supply wire, Length of Overhead 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 & 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 Three-Wire OS)?

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 is calculated using Constant Overhead AC = 32*Resistivity*(Current Overhead AC*Length of Overhead AC Wire*cos(Phase Difference))^2/Line Losses. To calculate Constant using Load Current (Single-Phase Three-Wire OS), you need Resistivity (ρ), Current Overhead AC (I), Length of Overhead AC Wire (L), Phase Difference (Φ) & Line Losses (P_loss). With our tool, you need to enter the respective value for Resistivity, Current Overhead AC, Length of Overhead AC Wire, Phase Difference & 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 Resistivity, Current Overhead AC, Length of Overhead AC Wire, Phase Difference & Line Losses. We can use 3 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*Length of Overhead AC Wire)^2)/(Line Losses*(Maximum Voltage Overhead AC)^2)
Constant Overhead AC = Volume of Conductor*(cos(Phase Difference))^2/(0.625)

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