Line Losses using Load Current (3 Phase 4 Wire US) Calculator

✖Current Underground AC is defined as the current flowing through the overhead ac supply wire.ⓘ Current Underground AC [I]			+10% -10%
✖Resistivity is the measure of how strongly a material opposes the flow of current through them.ⓘ Resistivity [ρ]			+10% -10%
✖Length of Underground AC Wire is the total length of the wire from one end to other end.ⓘ Length of Underground AC Wire [L]			+10% -10%
✖Area of Underground AC Wire is defined as the cross-sectional area of the wire of an AC supply system.ⓘ Area of Underground AC Wire [A]			+10% -10%

✖Line Losses is defined as the total losses occurring in an Underground AC line when in use.ⓘ Line Losses using Load Current (3 Phase 4 Wire US) [P_loss]

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Formula

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Line Losses using Load Current (3 Phase 4 Wire US)

Formula

`"P"_{"loss"} = 3*("I"^2)*"ρ"*"L"/"A"`

Example

`"0.077456W"=3*(("9A")^2)*"0.000017Ω*m"*"24m"/"1.28m²"`

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Line Losses using Load Current (3 Phase 4 Wire US) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Line Losses = 3*(Current Underground AC^2)*Resistivity*Length of Underground AC Wire/Area of Underground AC Wire
P_loss = 3*(I^2)*ρ*L/A
This formula uses 5 Variables

Variables Used

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

STEP 1: Convert Input(s) to Base Unit

Current Underground AC: 9 Ampere --> 9 Ampere No Conversion Required
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
Area of Underground AC Wire: 1.28 Square Meter --> 1.28 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_loss = 3*(I^2)*ρ*L/A --> 3*(9^2)*1.7E-05*24/1.28

Evaluating ... ...

P_loss = 0.07745625

STEP 3: Convert Result to Output's Unit

0.07745625 Watt --> No Conversion Required

FINAL ANSWER

0.07745625 ≈ 0.077456 Watt <-- Line Losses

(Calculation completed in 00.004 seconds)

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< 18 Wire Parameters Calculators

Volume of Conductor Material when Resistance is Given(3 Phase 4 Wire US)

Go Volume Of Conductor = (7*Resistance Underground AC*Area of Underground AC Wire*(Power Transmitted^2)*(Length of Underground AC Wire))/(Line Losses*(Maximum Voltage Underground AC^2)*(cos(Phase Difference)^2))

Angle using Area of X-Section (3 Phase 4 Wire US)

Go Phase Difference = acos((Power Transmitted/Maximum Voltage Underground AC)*sqrt(2*Resistivity*Length of Underground AC Wire/(Area of Underground AC Wire*Line Losses)))

Angle using Line Losses (3 Phase 4 Wire US)

Go Phase Difference = acos((Power Transmitted/Maximum Voltage Underground AC)*sqrt(2*Resistivity*Length of Underground AC Wire/(Line Losses*Area of Underground AC Wire)))

Length using Area of X-Section (3 Phase 4 Wire US)

Go Length of Underground AC Wire = (Area of Underground AC Wire*Line Losses*(Maximum Voltage Underground AC^2)*(cos(Phase Difference))^2)/(4*Resistivity*(Power Transmitted^2))

Line Losses using Area of X-Section (3 Phase 4 Wire US)

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

Area of X-Section (3 Phase 4 Wire US)

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

Line Losses (3 Phase 4 Wire US)

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

Volume of Conductor Material (3 Phase 4 Wire US)

Go Volume Of Conductor = 7*Resistivity*(Power Transmitted^2)*(Length of Underground AC Wire^2)/(Line Losses*(Maximum Voltage Underground AC^2)*(cos(Phase Difference)^2))

Line Losses using Volume of Conductor Material (3 Phase 4 Wire US)

Go Line Losses = 7*(Power Transmitted)^2*Resistivity*(Length of Underground AC Wire)^2/((Maximum Voltage Underground AC*cos(Phase Difference))^2*Volume Of Conductor)

Angle using Load Current (3 Phase 4 Wire US)

Go Phase Difference = acos(sqrt(6)*Power Transmitted/(3*Maximum Voltage Underground AC*Current Underground AC))

Length using Line Losses (3 Phase 4 Wire US)

Go Length of Underground AC Wire = Line Losses*Area of Underground AC Wire/(2*(Current Underground AC^2)*Resistivity)

Volume of Conductor Material using Load Current (3 Phase 4 Wire US)

Go Volume Of Conductor = 18*Resistivity*(Current Underground AC^2)*(Length of Underground AC Wire^2)/(2*Line Losses)

Line Losses using Load Current (3 Phase 4 Wire US)

Go Line Losses = 3*(Current Underground AC^2)*Resistivity*Length of Underground AC Wire/Area of Underground AC Wire

Area using Line Losses (3 Phase 4 Wire US)

Go Area of Underground AC Wire = (Current Underground AC^2)*2*Resistivity*Length of Underground AC Wire/Line Losses

Constant using Volume of Conductor Material (3 Phase 4 Wire US)

Go Constant Underground AC = Volume Of Conductor*(cos(Phase Difference))^2/(1.75)

Volume of Conductor Material when K is Given(3 Phase 4 Wire US)

Go Volume Of Conductor = Constant Underground AC*1.75/(cos(Phase Difference)^2)

Area of X-Section using Volume of Conductor Material (3 Phase 4 Wire US)

Go Area of Underground AC Wire = Volume Of Conductor/((3.5)*Length of Underground AC Wire)

Volume of Conductor Material when Area and Length is Given(3 Phase 4 Wire US)

Go Volume Of Conductor = 3.5*Area of Underground AC Wire*Length of Underground AC Wire

Line Losses using Load Current (3 Phase 4 Wire US) Formula

Line Losses = 3*(Current Underground AC^2)*Resistivity*Length of Underground AC Wire/Area of Underground AC Wire
P_loss = 3*(I^2)*ρ*L/A

What is the average line loss?

System average line losses are in the range of six to ten percent on most. Power Plant Step Up Transformer Step DownDistribution Lines Transmission Lines Residence. 1 “Distribution” is, regrettably, an ambiguous term when discussing electric power.

How to Calculate Line Losses using Load Current (3 Phase 4 Wire US)?

Line Losses using Load Current (3 Phase 4 Wire US) calculator uses Line Losses = 3*(Current Underground AC^2)*Resistivity*Length of Underground AC Wire/Area of Underground AC Wire to calculate the Line Losses, The Line Losses using Load Current (3 phase 4 wire US) formula is defined as the loss of electric energy due to the heating of line wires by the current. Line Losses is denoted by P_loss symbol.

How to calculate Line Losses using Load Current (3 Phase 4 Wire US) using this online calculator? To use this online calculator for Line Losses using Load Current (3 Phase 4 Wire US), enter Current Underground AC (I), Resistivity (ρ), Length of Underground AC Wire (L) & Area of Underground AC Wire (A) and hit the calculate button. Here is how the Line Losses using Load Current (3 Phase 4 Wire US) calculation can be explained with given input values -> 0.077456 = 3*(9^2)*1.7E-05*24/1.28.

FAQ

What is Line Losses using Load Current (3 Phase 4 Wire US)?

The Line Losses using Load Current (3 phase 4 wire US) formula is defined as the loss of electric energy due to the heating of line wires by the current and is represented as P_loss = 3*(I^2)*ρ*L/A or Line Losses = 3*(Current Underground AC^2)*Resistivity*Length of Underground AC Wire/Area of Underground AC Wire. Current Underground AC is defined as the current flowing through the overhead ac supply wire, 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 & Area of Underground AC Wire is defined as the cross-sectional area of the wire of an AC supply system.

How to calculate Line Losses using Load Current (3 Phase 4 Wire US)?

The Line Losses using Load Current (3 phase 4 wire US) formula is defined as the loss of electric energy due to the heating of line wires by the current is calculated using Line Losses = 3*(Current Underground AC^2)*Resistivity*Length of Underground AC Wire/Area of Underground AC Wire. To calculate Line Losses using Load Current (3 Phase 4 Wire US), you need Current Underground AC (I), Resistivity (ρ), Length of Underground AC Wire (L) & Area of Underground AC Wire (A). With our tool, you need to enter the respective value for Current Underground AC, Resistivity, Length of Underground AC Wire & Area of Underground 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 Line Losses?

In this formula, Line Losses uses Current Underground AC, Resistivity, Length of Underground AC Wire & Area of Underground AC Wire. We can use 3 other way(s) to calculate the same, which is/are as follows -

Line Losses = 7*(Power Transmitted)^2*Resistivity*(Length of Underground AC Wire)^2/((Maximum Voltage Underground AC*cos(Phase Difference))^2*Volume Of Conductor)
Line Losses = 2*Resistivity*Length of Underground AC Wire*(Power Transmitted^2)/(Area of Underground AC Wire*(Maximum Voltage Underground AC^2)*(cos(Phase Difference)^2))
Line Losses = 2*Resistivity*Length of Underground AC Wire*(Power Transmitted^2)/(Area of Underground AC Wire*(Maximum Voltage Underground AC^2*cos(Phase Difference)^2))

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