Volume of Conductor Material (3 Phase 3 Wire US) Calculator

✖Resistivity is the measure of how strongly a material opposes the flow of current through them.ⓘ Resistivity [ρ]			+10% -10%
✖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%
✖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%

✖Volume Of Conductor the 3-dimensional space enclosed by a conductor material.ⓘ Volume of Conductor Material (3 Phase 3 Wire US) [V]

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Formula

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Volume of Conductor Material (3 Phase 3 Wire US)

Formula

`"V" = 6*"ρ"*("P"^2)*("L"^2)/("P"_{"loss"}*("V"_{"m"}^2)*(cos("Φ")^2))`

Example

`"0.049916m³"=6*"0.000017Ω*m"*(("300W")^2)*(("24m")^2)/("2.67W"*(("230V")^2)*(cos("30°")^2))`

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Volume of Conductor Material (3 Phase 3 Wire US) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume Of Conductor = 6*Resistivity*(Power Transmitted^2)*(Length of Underground AC Wire^2)/(Line Losses*(Maximum Voltage Underground AC^2)*(cos(Phase Difference)^2))
V = 6*ρ*(P^2)*(L^2)/(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

Volume Of Conductor - (Measured in Cubic Meter) - Volume Of Conductor the 3-dimensional space enclosed by a conductor material.
Resistivity - (Measured in Ohm Meter) - Resistivity is the measure of how strongly a material opposes the flow of current through them.
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.
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

Resistivity: 1.7E-05 Ohm Meter --> 1.7E-05 Ohm Meter No Conversion Required
Power Transmitted: 300 Watt --> 300 Watt 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

V = 6*ρ*(P^2)*(L^2)/(P_loss*(V_m^2)*(cos(Φ)^2)) --> 6*1.7E-05*(300^2)*(24^2)/(2.67*(230^2)*(cos(0.5235987755982)^2))

Evaluating ... ...

V = 0.049915677237102

STEP 3: Convert Result to Output's Unit

0.049915677237102 Cubic Meter --> No Conversion Required

FINAL ANSWER

0.049915677237102 ≈ 0.049916 Cubic Meter <-- Volume Of Conductor

(Calculation completed in 00.004 seconds)

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Home » Engineering » Electrical » Power System » Underground AC Supply » 3-Φ 3-Wire System » Wire Parameters » Volume of Conductor Material (3 Phase 3 Wire US)

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< 9 Wire Parameters Calculators

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

Go Volume Of Conductor = (6*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))

Volume of Conductor Material (3 Phase 3 Wire US)

Go Volume Of Conductor = 6*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 3 Wire US)

Go Line Losses = 6*(Power Transmitted)^2*Resistivity*(Length of Underground AC Wire)^2/((Maximum Voltage Underground AC*cos(Phase Difference))^2*Volume Of Conductor)

Volume of Conductor Material when Load Current is Given(3 Phase 3 Wire US)

Go Volume Of Conductor = 5.25*Resistivity*(Current Underground AC^2)*(Length of Underground AC Wire^2)/(Line Losses)

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

Go Constant Underground AC = Volume Of Conductor*(cos(Phase Difference))^2/(1.5)

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

Go Volume Of Conductor = Constant Underground AC*1.5/(cos(Phase Difference)^2)

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

Go Area of Underground AC Wire = Volume Of Conductor/((3)*Length of Underground AC Wire)

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

Go Volume Of Conductor = 3*Area of Underground AC Wire*Length of Underground AC Wire

Line Losses (3 Phase 3 Wire US)

Go Line Losses = 3*(Current Underground AC^2)*Resistance Underground AC

Volume of Conductor Material (3 Phase 3 Wire US) Formula

What is the volume of conductor material in 3-phase 3-wire underground system?

The volume of conductor material required in this system is 1.5/cos²θ times that of 2-wire d.c.system with the one conductor earthed.

How to Calculate Volume of Conductor Material (3 Phase 3 Wire US)?

Volume of Conductor Material (3 Phase 3 Wire US) calculator uses Volume Of Conductor = 6*Resistivity*(Power Transmitted^2)*(Length of Underground AC Wire^2)/(Line Losses*(Maximum Voltage Underground AC^2)*(cos(Phase Difference)^2)) to calculate the Volume Of Conductor, The Volume of Conductor Material (3 phase 3 wire US) formula is defined as the 3-dimensional space enclosed by a conductor material of a three-phase three-wire earthed underground system. Volume Of Conductor is denoted by V symbol.

How to calculate Volume of Conductor Material (3 Phase 3 Wire US) using this online calculator? To use this online calculator for Volume of Conductor Material (3 Phase 3 Wire US), enter Resistivity (ρ), Power Transmitted (P), 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 Volume of Conductor Material (3 Phase 3 Wire US) calculation can be explained with given input values -> 0.049916 = 6*1.7E-05*(300^2)*(24^2)/(2.67*(230^2)*(cos(0.5235987755982)^2)).

FAQ

What is Volume of Conductor Material (3 Phase 3 Wire US)?

The Volume of Conductor Material (3 phase 3 wire US) formula is defined as the 3-dimensional space enclosed by a conductor material of a three-phase three-wire earthed underground system and is represented as V = 6*ρ*(P^2)*(L^2)/(P_loss*(V_m^2)*(cos(Φ)^2)) or Volume Of Conductor = 6*Resistivity*(Power Transmitted^2)*(Length of Underground AC Wire^2)/(Line Losses*(Maximum Voltage Underground AC^2)*(cos(Phase Difference)^2)). Resistivity is the measure of how strongly a material opposes the flow of current through them, 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, 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 Volume of Conductor Material (3 Phase 3 Wire US)?

The Volume of Conductor Material (3 phase 3 wire US) formula is defined as the 3-dimensional space enclosed by a conductor material of a three-phase three-wire earthed underground system is calculated using Volume Of Conductor = 6*Resistivity*(Power Transmitted^2)*(Length of Underground AC Wire^2)/(Line Losses*(Maximum Voltage Underground AC^2)*(cos(Phase Difference)^2)). To calculate Volume of Conductor Material (3 Phase 3 Wire US), you need Resistivity (ρ), Power Transmitted (P), 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 Resistivity, Power Transmitted, 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 Volume Of Conductor?

In this formula, Volume Of Conductor uses Resistivity, Power Transmitted, Length of Underground AC Wire, Line Losses, Maximum Voltage Underground AC & Phase Difference. We can use 4 other way(s) to calculate the same, which is/are as follows -

Volume Of Conductor = 3*Area of Underground AC Wire*Length of Underground AC Wire
Volume Of Conductor = Constant Underground AC*1.5/(cos(Phase Difference)^2)
Volume Of Conductor = 5.25*Resistivity*(Current Underground AC^2)*(Length of Underground AC Wire^2)/(Line Losses)
Volume Of Conductor = (6*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))

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