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Volume of Conductor Material using Resistance (1 Phase 3 Wire US) Formula

GoVolume of Conductor Material(1 Phase 3 Wire US) Formula

GoVolume of Conductor Material using Constant(1 Phase 3 Wire US) Formula

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Volume Of Conductor the 3-dimensional space enclosed by a conductor material. Check FAQs

V = \frac{10 \cdot (P^{2}) \cdot R \cdot A \cdot L}{P loss \cdot ({V m}^{2}) \cdot ({\cos (Φ)}^{2})}

V - Volume Of Conductor?P - Power Transmitted?R - Resistance Underground AC?A - Area of Underground AC Wire?L - Length of Underground AC Wire?P_loss - Line Losses?V_m - Maximum Voltage Underground AC?Φ - Phase Difference?

Volume of Conductor Material using Resistance (1 Phase 3 Wire US) Example

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Here is how the Volume of Conductor Material using Resistance (1 Phase 3 Wire US) equation looks like with Values.

Here is how the Volume of Conductor Material using Resistance (1 Phase 3 Wire US) equation looks like with Units.

Here is how the Volume of Conductor Material using Resistance (1 Phase 3 Wire US) equation looks like.

1304.985 = \frac{10 \cdot (300^{2}) \cdot 5 \cdot 1.28 \cdot 24}{2.67 \cdot (230^{2}) \cdot ({\cos (30)}^{2})}

1304.985m³ = \frac{10 \cdot ({300W}^{2}) \cdot 5Ω \cdot 1.28m² \cdot 24m}{2.67W \cdot ({230V}^{2}) \cdot ({\cos (30°)}^{2})}

1304.985 = \frac{10 \cdot (300^{2}) \cdot 5 \cdot 1.28 \cdot 24}{2.67 \cdot (230^{2}) \cdot ({\cos (30)}^{2})}

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Volume of Conductor Material using Resistance (1 Phase 3 Wire US) Solution

Follow our step by step solution on how to calculate Volume of Conductor Material using Resistance (1 Phase 3 Wire US)?

FIRST Step Consider the formula

V = \frac{10 \cdot (P^{2}) \cdot R \cdot A \cdot L}{P loss \cdot ({V m}^{2}) \cdot ({\cos (Φ)}^{2})}

Next Step Substitute values of Variables

∴

V = \frac{10 \cdot ({300W}^{2}) \cdot 5Ω \cdot 1.28m² \cdot 24m}{2.67W \cdot ({230V}^{2}) \cdot ({\cos (30°)}^{2})}

Next Step Convert Units

∴

V = \frac{10 \cdot ({300W}^{2}) \cdot 5Ω \cdot 1.28m² \cdot 24m}{2.67W \cdot ({230V}^{2}) \cdot ({\cos (0.5236rad)}^{2})}

Next Step Prepare to Evaluate

∴

V = \frac{10 \cdot (300^{2}) \cdot 5 \cdot 1.28 \cdot 24}{2.67 \cdot (230^{2}) \cdot ({\cos (0.5236)}^{2})}

Next Step Evaluate

∴

V = 1304.98502580659m³

LAST Step Rounding Answer

∴

V = 1304.985m³

Volume of Conductor Material using Resistance (1 Phase 3 Wire US) Formula Elements

Variables

Functions

Volume Of Conductor

Volume Of Conductor the 3-dimensional space enclosed by a conductor material.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Power Transmitted

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.

Symbol: P

Measurement: PowerUnit: W

Note: Value can be positive or negative.

Resistance Underground AC

Resistance Underground AC is defined as the property of the wire or line that opposes the flow of current through it.

Symbol: R

Measurement: Electric ResistanceUnit: Ω

Note: Value can be positive or negative.

Area of Underground AC Wire

Area of Underground AC Wire is defined as the cross-sectional area of the wire of an AC supply system.

Symbol: A

Measurement: AreaUnit: m²

Note: Value can be positive or negative.

Length of Underground AC Wire

Length of Underground AC Wire is the total length of the wire from one end to other end.

Symbol: L

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Line Losses

Line Losses is defined as the total losses occurring in an Underground AC line when in use.

Symbol: P_loss

Measurement: PowerUnit: W

Note: Value can be positive or negative.

Maximum Voltage Underground AC

Maximum Voltage Underground AC is defined as the peak amplitude of the AC voltage supplied to the line or wire.

Symbol: V_m

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Phase Difference

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.

Symbol: Φ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Credits

Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

Urvi Rathod has created this Formula and 1500+ more formulas!

Verified by Kethavath Srinath

Osmania University (OU), Hyderabad

Kethavath Srinath has verified this Formula and 1200+ more formulas!

Other Formulas to find Volume Of Conductor

Go Volume of Conductor Material(1 Phase 3 Wire US)

V = 10 \cdot (P^{2}) \cdot ρ \cdot \frac{L^{2}}{P loss \cdot ({V m}^{2}) \cdot ({\cos (Φ)}^{2})}

Go Volume of Conductor Material using Constant(1 Phase 3 Wire US)

V = 2.5 \cdot \frac{K}{{\cos (Φ)}^{2}}

Other formulas in Wire Parameters category

Go Length using Volume of Conductor Material(1 Phase 3 Wire US)

L = \sqrt{V \cdot P loss \cdot \frac{{(\cos (Φ) \cdot V m)}^{2}}{(10) \cdot ρ \cdot (P^{2})}}

Go Line Losses using Volume of Conductor Material(1 Phase 3 Wire US)

P loss = 10 \cdot ρ \cdot \frac{{(P \cdot L)}^{2}}{V \cdot ({(V m \cdot \cos (Φ))}^{2})}

How to Evaluate Volume of Conductor Material using Resistance (1 Phase 3 Wire US)?

Volume of Conductor Material using Resistance (1 Phase 3 Wire US) evaluator uses Volume Of Conductor = (10*(Power Transmitted^2)*Resistance Underground AC*Area of Underground AC Wire*Length of Underground AC Wire)/(Line Losses*(Maximum Voltage Underground AC^2)*(cos(Phase Difference)^2)) to evaluate the Volume Of Conductor, The Volume of Conductor Material using Resistance (1 phase 3 wire US) formula is defined as the 3-dimensional space enclosed by a conductor material of a 1-phase 3-wire underground system. Volume Of Conductor is denoted by V symbol.

How to evaluate Volume of Conductor Material using Resistance (1 Phase 3 Wire US) using this online evaluator? To use this online evaluator for Volume of Conductor Material using Resistance (1 Phase 3 Wire US), enter Power Transmitted (P), Resistance Underground AC (R), Area of Underground AC Wire (A), Length of Underground AC Wire (L), Line Losses (P_loss), Maximum Voltage Underground AC (V_m) & Phase Difference (Φ) and hit the calculate button.

FAQs on Volume of Conductor Material using Resistance (1 Phase 3 Wire US)

What is the formula to find Volume of Conductor Material using Resistance (1 Phase 3 Wire US)?

The formula of Volume of Conductor Material using Resistance (1 Phase 3 Wire US) is expressed as Volume Of Conductor = (10*(Power Transmitted^2)*Resistance Underground AC*Area of Underground AC Wire*Length of Underground AC Wire)/(Line Losses*(Maximum Voltage Underground AC^2)*(cos(Phase Difference)^2)). Here is an example- 1304.985 = (10*(300^2)*5*1.28*24)/(2.67*(230^2)*(cos(0.5235987755982)^2)).

How to calculate Volume of Conductor Material using Resistance (1 Phase 3 Wire US)?

With Power Transmitted (P), Resistance Underground AC (R), Area of Underground AC Wire (A), Length of Underground AC Wire (L), Line Losses (P_loss), Maximum Voltage Underground AC (V_m) & Phase Difference (Φ) we can find Volume of Conductor Material using Resistance (1 Phase 3 Wire US) using the formula - Volume Of Conductor = (10*(Power Transmitted^2)*Resistance Underground AC*Area of Underground AC Wire*Length of Underground AC Wire)/(Line Losses*(Maximum Voltage Underground AC^2)*(cos(Phase Difference)^2)). This formula also uses Cosine (cos) function(s).

What are the other ways to Calculate Volume Of Conductor?

Here are the different ways to Calculate Volume Of Conductor-

Volume Of Conductor=10*(Power Transmitted^2)*Resistivity*(Length of Underground AC Wire^2)/(Line Losses*(Maximum Voltage Underground AC^2)*(cos(Phase Difference)^2))
Volume Of Conductor=2.5*Constant Underground AC/(cos(Phase Difference)^2)
Volume Of Conductor=5*Resistivity*(Length of Underground AC Wire^2)*(Current Underground AC^2)/Line Losses

Can the Volume of Conductor Material using Resistance (1 Phase 3 Wire US) be negative?

No, the Volume of Conductor Material using Resistance (1 Phase 3 Wire US), measured in Volume cannot be negative.

Which unit is used to measure Volume of Conductor Material using Resistance (1 Phase 3 Wire US)?

Volume of Conductor Material using Resistance (1 Phase 3 Wire US) is usually measured using the Cubic Meter[m³] for Volume. Cubic Centimeter[m³], Cubic Millimeter[m³], Liter[m³] are the few other units in which Volume of Conductor Material using Resistance (1 Phase 3 Wire US) can be measured.

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Volume of Conductor Material using Resistance (1 Phase 3 Wire US) Formula

​GoVolume of Conductor Material(1 Phase 3 Wire US) Formula

​GoVolume of Conductor Material using Constant(1 Phase 3 Wire US) Formula

Volume of Conductor Material using Resistance (1 Phase 3 Wire US) Example

Volume of Conductor Material using Resistance (1 Phase 3 Wire US) Solution

Volume of Conductor Material using Resistance (1 Phase 3 Wire US) Formula Elements

Credits

Other Formulas to find Volume Of Conductor

Other formulas in Wire Parameters category

How to Evaluate Volume of Conductor Material using Resistance (1 Phase 3 Wire US)?

FAQs on Volume of Conductor Material using Resistance (1 Phase 3 Wire US)

Variable Name

GoVolume of Conductor Material(1 Phase 3 Wire US) Formula

GoVolume of Conductor Material using Constant(1 Phase 3 Wire US) Formula