Volume of Conductor Material using Constant(3-Phase 4-Wire OS) Calculator

✖Constant Overhead AC is defined as the constant of line of a Overhead supply system.ⓘ Constant Overhead AC [K]			+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 is the total volume of the material used to make the conductor of an overhead ac line.ⓘ Volume of Conductor Material using Constant(3-Phase 4-Wire OS) [V]

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Formula

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

Formula

`"V" = 7*"K"/(12*(cos("Φ")^2))`

Example

`"0.692222m³"=7*"0.89"/(12*(cos("30°")^2))`

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Volume of Conductor Material using Constant(3-Phase 4-Wire OS) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Conductor = 7*Constant Overhead AC/(12*(cos(Phase Difference)^2))
V = 7*K/(12*(cos(Φ)^2))
This formula uses 1 Functions, 3 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 is the total volume of the material used to make the conductor of an overhead ac line.
Constant Overhead AC - Constant Overhead AC is defined as the constant of line of a Overhead supply system.
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

Constant Overhead AC: 0.89 --> No Conversion Required
Phase Difference: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = 7*K/(12*(cos(Φ)^2)) --> 7*0.89/(12*(cos(0.5235987755982)^2))

Evaluating ... ...

V = 0.692222222222222

STEP 3: Convert Result to Output's Unit

0.692222222222222 Cubic Meter --> No Conversion Required

FINAL ANSWER

0.692222222222222 ≈ 0.692222 Cubic Meter <-- Volume of Conductor

(Calculation completed in 00.005 seconds)

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< 13 Wire Parameters Calculators

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

Go Line Losses = (2*Length of Overhead AC Wire*Resistivity*(Power Transmitted^2))/(3*Area of Overhead AC Wire*(Maximum Voltage Overhead AC^2)*((cos(Phase Difference))^2))

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

Go Length of Overhead AC Wire = 3*Area of Overhead AC Wire*(Maximum Voltage Overhead AC^2)*Line Losses*((cos(Phase Difference))^2)/(2*Resistivity*(Power Transmitted^2))

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

Go Area of Overhead AC Wire = 2*(Power Transmitted^2)*Resistivity*Length of Overhead AC Wire/(((cos(Phase Difference))^2)*Line Losses*3*(Maximum Voltage Overhead AC^2))

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

Go Line Losses = 7*(Power Transmitted)^2*Resistivity*(Length of Overhead AC Wire)^2/(3*(Maximum Voltage Overhead AC*cos(Phase Difference))^2*Volume of Conductor)

Length using Volume of Conductor Material (3-Phase 4-Wire OS)

Go Length of Overhead AC Wire = 3*Volume of Conductor*Line Losses*(cos(Phase Difference)*Maximum Voltage Overhead AC)^2/(7*Resistivity*(Power Transmitted^2))

Constant(3-Phase 4-Wire OS)

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

Length of Wire using Resistance (3-Phase 4-Wire OS)

Go Length of Overhead AC Wire = (Resistance Overhead AC*Area of Overhead AC Wire)/Resistivity

Area of X-Section using Resistance (3-Phase 4-Wire OS)

Go Area of Overhead AC Wire = Resistivity*Length of Overhead AC Wire/Resistance Overhead AC

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

Go Constant Overhead AC = Volume of Conductor*(cos(Phase Difference))^2/(0.583)

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

Go Volume of Conductor = 7*Constant Overhead AC/(12*(cos(Phase Difference)^2))

Area of X-section using Volume of Conductor Material (3-Phase 4-Wire OS)

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

Volume of Conductor Material(3-Phase 4-Wire OS)

Go Volume of Conductor = (3.5)*Area of Overhead AC Wire*Length of Overhead AC Wire

Line Losses(3-Phase 4-Wire OS)

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

Volume of Conductor Material using Constant(3-Phase 4-Wire OS) Formula

Volume of Conductor = 7*Constant Overhead AC/(12*(cos(Phase Difference)^2))
V = 7*K/(12*(cos(Φ)^2))

What is the value of maximum voltage and volume of conductor material in 3-phase 4-wire system?

The volume of conductor material required in this system is 7/12cos²θ times that of 2-wire d.c.system with the one conductor earthed. The maximum voltage between conductors is v_m so that r.m.s. value of voltage between them is v_m/√2.

How to Calculate Volume of Conductor Material using Constant(3-Phase 4-Wire OS)?

Volume of Conductor Material using Constant(3-Phase 4-Wire OS) calculator uses Volume of Conductor = 7*Constant Overhead AC/(12*(cos(Phase Difference)^2)) to calculate the Volume of Conductor, The Volume of Conductor Material using Constant(3-phase 4-wire OS) formula is defined as the 3-dimensional space enclosed by a conductor material of a three-phase four-wire overhead system. Volume of Conductor is denoted by V symbol.

How to calculate Volume of Conductor Material using Constant(3-Phase 4-Wire OS) using this online calculator? To use this online calculator for Volume of Conductor Material using Constant(3-Phase 4-Wire OS), enter Constant Overhead AC (K) & Phase Difference (Φ) and hit the calculate button. Here is how the Volume of Conductor Material using Constant(3-Phase 4-Wire OS) calculation can be explained with given input values -> 0.692222 = 7*0.89/(12*(cos(0.5235987755982)^2)).

FAQ

What is Volume of Conductor Material using Constant(3-Phase 4-Wire OS)?

The Volume of Conductor Material using Constant(3-phase 4-wire OS) formula is defined as the 3-dimensional space enclosed by a conductor material of a three-phase four-wire overhead system and is represented as V = 7*K/(12*(cos(Φ)^2)) or Volume of Conductor = 7*Constant Overhead AC/(12*(cos(Phase Difference)^2)). Constant Overhead AC is defined as the constant of line of a Overhead supply system & 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 using Constant(3-Phase 4-Wire OS)?

The Volume of Conductor Material using Constant(3-phase 4-wire OS) formula is defined as the 3-dimensional space enclosed by a conductor material of a three-phase four-wire overhead system is calculated using Volume of Conductor = 7*Constant Overhead AC/(12*(cos(Phase Difference)^2)). To calculate Volume of Conductor Material using Constant(3-Phase 4-Wire OS), you need Constant Overhead AC (K) & Phase Difference (Φ). With our tool, you need to enter the respective value for Constant Overhead 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 Constant Overhead AC & Phase Difference. We can use 1 other way(s) to calculate the same, which is/are as follows -

Volume of Conductor = (3.5)*Area of Overhead AC Wire*Length of Overhead AC Wire

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