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

✖Line Losses is defined as the total losses occurring in an Overhead AC line when in use.ⓘ Line Losses [P_loss]			+10% -10%
✖Area of Overhead AC Wire is defined as the cross-sectional area of the wire of an AC supply system.ⓘ Area of Overhead AC Wire [A]			+10% -10%
✖Resistivity is the measure of how strongly a material opposes the flow of current through them.ⓘ Resistivity [ρ]			+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%

✖Current Overhead AC is defined as the current flowing through the overhead ac supply wire.ⓘ Load Current using Line Losses (Single-Phase Three-Wire OS) [I]

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

STEP 0: Pre-Calculation Summary

Formula Used

Current Overhead AC = sqrt(Line Losses*Area of Overhead AC Wire/(2*Resistivity*Length of Overhead AC Wire))
I = sqrt(P_loss*A/(2*ρ*L))
This formula uses 1 Functions, 5 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Current Overhead AC - (Measured in Ampere) - Current Overhead AC is defined as the current flowing through the overhead ac supply wire.
Line Losses - (Measured in Watt) - Line Losses is defined as the total losses occurring in an Overhead AC line when in use.
Area of Overhead AC Wire - (Measured in Square Meter) - Area of Overhead AC Wire is defined as the cross-sectional area of the wire of an AC supply system.
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.

STEP 1: Convert Input(s) to Base Unit

Line Losses: 8.23 Watt --> 8.23 Watt No Conversion Required
Area of Overhead AC Wire: 0.79 Square Meter --> 0.79 Square Meter No Conversion Required
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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I = sqrt(P_loss*A/(2*ρ*L)) --> sqrt(8.23*0.79/(2*1.7E-05*10.63))

Evaluating ... ...

I = 134.12427037945

STEP 3: Convert Result to Output's Unit

134.12427037945 Ampere --> No Conversion Required

FINAL ANSWER

134.12427037945 ≈ 134.1243 Ampere <-- Current Overhead AC

(Calculation completed in 00.023 seconds)

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< Current and Voltage Calculators

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

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

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

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

Load Current(Single-Phase Three-Wire OS)

LaTeX Go Current Overhead AC = Power Transmitted/(Maximum Voltage Overhead AC*cos(Phase Difference)*sqrt(2))

Maximum Voltage(Single-Phase Three-Wire OS)

LaTeX Go Maximum Voltage Overhead AC = (2)*Voltage Overhead AC

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

LaTeX Go

Current Overhead AC = sqrt(Line Losses*Area of Overhead AC Wire/(2*Resistivity*Length of Overhead AC Wire))
I = sqrt(P_loss*A/(2*ρ*L))

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 Load Current using Line Losses (Single-Phase Three-Wire OS)?

Load Current using Line Losses (Single-Phase Three-Wire OS) calculator uses Current Overhead AC = sqrt(Line Losses*Area of Overhead AC Wire/(2*Resistivity*Length of Overhead AC Wire)) to calculate the Current Overhead AC, The Load Current using Line Losses (single-Phase three-Wire OS) formula is defined as the current that flows into the load of the one-phase three-wire overhead system. Current Overhead AC is denoted by I symbol.

How to calculate Load Current using Line Losses (Single-Phase Three-Wire OS) using this online calculator? To use this online calculator for Load Current using Line Losses (Single-Phase Three-Wire OS), enter Line Losses (P_loss), Area of Overhead AC Wire (A), Resistivity (ρ) & Length of Overhead AC Wire (L) and hit the calculate button. Here is how the Load Current using Line Losses (Single-Phase Three-Wire OS) calculation can be explained with given input values -> 134.1243 = sqrt(8.23*0.79/(2*1.7E-05*10.63)).

FAQ

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

The Load Current using Line Losses (single-Phase three-Wire OS) formula is defined as the current that flows into the load of the one-phase three-wire overhead system and is represented as I = sqrt(P_loss*A/(2*ρ*L)) or Current Overhead AC = sqrt(Line Losses*Area of Overhead AC Wire/(2*Resistivity*Length of Overhead AC Wire)). Line Losses is defined as the total losses occurring in an Overhead AC line when in use, Area of Overhead AC Wire is defined as the cross-sectional area of the wire of an AC supply system, 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.

How to calculate Load Current using Line Losses (Single-Phase Three-Wire OS)?

The Load Current using Line Losses (single-Phase three-Wire OS) formula is defined as the current that flows into the load of the one-phase three-wire overhead system is calculated using Current Overhead AC = sqrt(Line Losses*Area of Overhead AC Wire/(2*Resistivity*Length of Overhead AC Wire)). To calculate Load Current using Line Losses (Single-Phase Three-Wire OS), you need Line Losses (P_loss), Area of Overhead AC Wire (A), Resistivity (ρ) & Length of Overhead AC Wire (L). With our tool, you need to enter the respective value for Line Losses, Area of Overhead AC Wire, Resistivity & Length of Overhead AC Wire 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 Current Overhead AC?

In this formula, Current Overhead AC uses Line Losses, Area of Overhead AC Wire, Resistivity & Length of Overhead AC Wire. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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