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

✖Power Transmitted is the amount of power that is transferred from its place of generation to a location where it is applied to perform useful work.ⓘ Power Transmitted [P]			+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%
✖Line Losses is defined as the total losses occurring in an Underground AC line when in use.ⓘ Line Losses [P_loss]			+10% -10%
✖Maximum Voltage Underground AC is defined as the peak amplitude of the AC voltage supplied to the line or wire.ⓘ Maximum Voltage Underground AC [V_m]			+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%

✖Area of Underground AC Wire is defined as the cross-sectional area of the wire of an AC supply system.ⓘ Area of X-Section (3 Phase 4 Wire US) [A]

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Formula

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

Formula

`"A" = ("P"^2)*2*"ρ"*"L"/("P"_{"loss"}*("V"_{"m"}^2)*(cos("Φ")^2))`

Example

`"0.000693m²"=(("300W")^2)*2*"0.000017Ω*m"*"24m"/("2.67W"*(("230V")^2)*(cos("30°")^2))`

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

STEP 0: Pre-Calculation Summary

Formula Used

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))
A = (P^2)*2*ρ*L/(P_loss*(V_m^2)*(cos(Φ)^2))
This formula uses 1 Functions, 7 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

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.
Power Transmitted - (Measured in Watt) - Power Transmitted is the amount of power that is transferred from its place of generation to a location where it is applied to perform useful work.
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.
Line Losses - (Measured in Watt) - Line Losses is defined as the total losses occurring in an Underground AC line when in use.
Maximum Voltage Underground AC - (Measured in Volt) - Maximum Voltage Underground AC is defined as the peak amplitude of the AC voltage supplied to the line or 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.

STEP 1: Convert Input(s) to Base Unit

Power Transmitted: 300 Watt --> 300 Watt 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
Line Losses: 2.67 Watt --> 2.67 Watt No Conversion Required
Maximum Voltage Underground AC: 230 Volt --> 230 Volt No Conversion Required
Phase Difference: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = (P^2)*2*ρ*L/(P_loss*(V_m^2)*(cos(Φ)^2)) --> (300^2)*2*1.7E-05*24/(2.67*(230^2)*(cos(0.5235987755982)^2))

Evaluating ... ...

A = 0.00069327329495975

STEP 3: Convert Result to Output's Unit

0.00069327329495975 Square Meter --> No Conversion Required

FINAL ANSWER

0.00069327329495975 ≈ 0.000693 Square Meter <-- Area of Underground AC Wire

(Calculation completed in 00.004 seconds)

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Home » Engineering » Electrical » Power System » Underground AC Supply » 3-Φ 4-Wire System » Wire Parameters » Area of X-Section (3 Phase 4 Wire US)

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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

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

What is cross sectional area of cable?

Most wire is made with a circular cross-section of some particular radius and diameter. ... Then we define the cross-sectional area simply as the square of the wire's diameter in mils and call that our area in units of “circular mils.” This makes number handling ever so much easier.

How to Calculate Area of X-Section (3 Phase 4 Wire US)?

Area of X-Section (3 Phase 4 Wire US) calculator uses 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)) to calculate the Area of Underground AC Wire, The Area of X-Section (3 phase 4 wire US) formula is defined as the cross-sectional area simply as the square of the wire's diameter in mils and calls that our area in units of “circular mils.” This makes number handling ever so much easier. Area of Underground AC Wire is denoted by A symbol.

How to calculate Area of X-Section (3 Phase 4 Wire US) using this online calculator? To use this online calculator for Area of X-Section (3 Phase 4 Wire US), enter Power Transmitted (P), Resistivity (ρ), Length of Underground AC Wire (L), Line Losses (P_loss), Maximum Voltage Underground AC (V_m) & Phase Difference (Φ) and hit the calculate button. Here is how the Area of X-Section (3 Phase 4 Wire US) calculation can be explained with given input values -> 0.000693 = (300^2)*2*1.7E-05*24/(2.67*(230^2)*(cos(0.5235987755982)^2)).

FAQ

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

The Area of X-Section (3 phase 4 wire US) formula is defined as the cross-sectional area simply as the square of the wire's diameter in mils and calls that our area in units of “circular mils.” This makes number handling ever so much easier and is represented as A = (P^2)*2*ρ*L/(P_loss*(V_m^2)*(cos(Φ)^2)) or 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)). Power Transmitted is the amount of power that is transferred from its place of generation to a location where it is applied to perform useful work, 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, Line Losses is defined as the total losses occurring in an Underground AC line when in use, Maximum Voltage Underground AC is defined as the peak amplitude of the AC voltage supplied to the line or 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.

How to calculate Area of X-Section (3 Phase 4 Wire US)?

The Area of X-Section (3 phase 4 wire US) formula is defined as the cross-sectional area simply as the square of the wire's diameter in mils and calls that our area in units of “circular mils.” This makes number handling ever so much easier is calculated using 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)). To calculate Area of X-Section (3 Phase 4 Wire US), you need Power Transmitted (P), Resistivity (ρ), Length of Underground AC Wire (L), Line Losses (P_loss), Maximum Voltage Underground AC (V_m) & Phase Difference (Φ). With our tool, you need to enter the respective value for Power Transmitted, Resistivity, Length of Underground AC Wire, Line Losses, Maximum Voltage Underground AC & Phase Difference 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 Area of Underground AC Wire?

In this formula, Area of Underground AC Wire uses Power Transmitted, Resistivity, Length of Underground AC Wire, Line Losses, Maximum Voltage Underground AC & Phase Difference. We can use 2 other way(s) to calculate the same, which is/are as follows -

Area of Underground AC Wire = Volume Of Conductor/((3.5)*Length of Underground AC Wire)
Area of Underground AC Wire = (Current Underground AC^2)*2*Resistivity*Length of Underground AC Wire/Line Losses

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