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

✖Volume Of Conductor the 3-dimensional space enclosed by a conductor material.ⓘ Volume Of Conductor [V]			+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%
✖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%
✖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%

✖Resistance Underground AC is defined as the property of the wire or line that opposes the flow of current through it.ⓘ Resistance using Volume of Conductor Material (3 Phase 4 Wire US) [R]

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Formula

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

Formula

`"R" = "V"*"P"_{"loss"}*("V"_{"m"}^2)*(cos("Φ")^2)/(7*("P"^2)*"A")`

Example

`"7.881864Ω"="60m³"*"2.67W"*(("230V")^2)*(cos("30°")^2)/(7*(("300W")^2)*"1.28m²")`

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

STEP 0: Pre-Calculation Summary

Formula Used

Resistance Underground AC = Volume Of Conductor*Line Losses*(Maximum Voltage Underground AC^2)*(cos(Phase Difference)^2)/(7*(Power Transmitted^2)*Area of Underground AC Wire)
R = V*P_loss*(V_m^2)*(cos(Φ)^2)/(7*(P^2)*A)
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

Resistance Underground AC - (Measured in Ohm) - Resistance Underground AC is defined as the property of the wire or line that opposes the flow of current through it.
Volume Of Conductor - (Measured in Cubic Meter) - Volume Of Conductor the 3-dimensional space enclosed by a conductor material.
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.
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.
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

Volume Of Conductor: 60 Cubic Meter --> 60 Cubic 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)
Power Transmitted: 300 Watt --> 300 Watt 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

R = V*P_loss*(V_m^2)*(cos(Φ)^2)/(7*(P^2)*A) --> 60*2.67*(230^2)*(cos(0.5235987755982)^2)/(7*(300^2)*1.28)

Evaluating ... ...

R = 7.88186383928571

STEP 3: Convert Result to Output's Unit

7.88186383928571 Ohm --> No Conversion Required

FINAL ANSWER

7.88186383928571 ≈ 7.881864 Ohm <-- Resistance Underground AC

(Calculation completed in 00.020 seconds)

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Home » Engineering » Electrical » Power System » Underground AC Supply » 3-Φ 4-Wire System » Resistance & Resistivity » Resistance using Volume of Conductor Material (3 Phase 4 Wire US)

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< 6 Resistance & Resistivity Calculators

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

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

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

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

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

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

Resistivity using Load Current (3 Phase 4 Wire US)

Go Resistivity = (Volume Of Conductor*Line Losses/(3.5*3*(Current Underground AC^2)*(Length of Underground AC Wire^2)))

Resistivity using Line Losses (3 Phase 4 Wire US)

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

Resistance using Line Losses (3 Phase 4 Wire US)

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

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

Resistance using Volume of Conductor Material (3 Phase 4 Wire US) calculator uses Resistance Underground AC = Volume Of Conductor*Line Losses*(Maximum Voltage Underground AC^2)*(cos(Phase Difference)^2)/(7*(Power Transmitted^2)*Area of Underground AC Wire) to calculate the Resistance Underground AC, The Resistance using Volume of Conductor Material (3 phase 4 wire US) formula is defined as a measure of the opposition to current flow in an electrical circuit. Resistance Underground AC is denoted by R symbol.

How to calculate Resistance using Volume of Conductor Material (3 Phase 4 Wire US) using this online calculator? To use this online calculator for Resistance using Volume of Conductor Material (3 Phase 4 Wire US), enter Volume Of Conductor (V), Line Losses (P_loss), Maximum Voltage Underground AC (V_m), Phase Difference (Φ), Power Transmitted (P) & Area of Underground AC Wire (A) and hit the calculate button. Here is how the Resistance using Volume of Conductor Material (3 Phase 4 Wire US) calculation can be explained with given input values -> 7.881864 = 60*2.67*(230^2)*(cos(0.5235987755982)^2)/(7*(300^2)*1.28).

FAQ

What is Resistance using Volume of Conductor Material (3 Phase 4 Wire US)?

The Resistance using Volume of Conductor Material (3 phase 4 wire US) formula is defined as a measure of the opposition to current flow in an electrical circuit and is represented as R = V*P_loss*(V_m^2)*(cos(Φ)^2)/(7*(P^2)*A) or Resistance Underground AC = Volume Of Conductor*Line Losses*(Maximum Voltage Underground AC^2)*(cos(Phase Difference)^2)/(7*(Power Transmitted^2)*Area of Underground AC Wire). Volume Of Conductor the 3-dimensional space enclosed by a conductor material, 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, 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 & Area of Underground AC Wire is defined as the cross-sectional area of the wire of an AC supply system.

How to calculate Resistance using Volume of Conductor Material (3 Phase 4 Wire US)?

The Resistance using Volume of Conductor Material (3 phase 4 wire US) formula is defined as a measure of the opposition to current flow in an electrical circuit is calculated using Resistance Underground AC = Volume Of Conductor*Line Losses*(Maximum Voltage Underground AC^2)*(cos(Phase Difference)^2)/(7*(Power Transmitted^2)*Area of Underground AC Wire). To calculate Resistance using Volume of Conductor Material (3 Phase 4 Wire US), you need Volume Of Conductor (V), Line Losses (P_loss), Maximum Voltage Underground AC (V_m), Phase Difference (Φ), Power Transmitted (P) & Area of Underground AC Wire (A). With our tool, you need to enter the respective value for Volume Of Conductor, Line Losses, Maximum Voltage Underground AC, Phase Difference, Power Transmitted & 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 Resistance Underground AC?

In this formula, Resistance Underground AC uses Volume Of Conductor, Line Losses, Maximum Voltage Underground AC, Phase Difference, Power Transmitted & Area of Underground AC Wire. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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