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Maximum Voltage using Volume of Conductor Material (3 Phase 4 Wire US) Formula

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

V m = \sqrt{7 \cdot ρ \cdot \frac{{(P \cdot L)}^{2}}{P loss \cdot V \cdot {(\cos (Φ))}^{2}}}

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

Maximum Voltage using Volume of Conductor Material (3 Phase 4 Wire US) Example

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Here is how the Maximum Voltage using Volume of Conductor Material (3 Phase 4 Wire US) equation looks like with Values.

Here is how the Maximum Voltage using Volume of Conductor Material (3 Phase 4 Wire US) equation looks like with Units.

Here is how the Maximum Voltage using Volume of Conductor Material (3 Phase 4 Wire US) equation looks like.

7.1655 = \sqrt{7 \cdot 1.7E-5 \cdot \frac{{(300 \cdot 24)}^{2}}{2.67 \cdot 60 \cdot {(\cos (30))}^{2}}}

7.1655V = \sqrt{7 \cdot 1.7E-5Ω*m \cdot \frac{{(300W \cdot 24m)}^{2}}{2.67W \cdot 60m³ \cdot {(\cos (30°))}^{2}}}

7.1655 = \sqrt{7 \cdot 1.7E-5 \cdot \frac{{(300 \cdot 24)}^{2}}{2.67 \cdot 60 \cdot {(\cos (30))}^{2}}}

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

Follow our step by step solution on how to calculate Maximum Voltage using Volume of Conductor Material (3 Phase 4 Wire US)?

FIRST Step Consider the formula

V m = \sqrt{7 \cdot ρ \cdot \frac{{(P \cdot L)}^{2}}{P loss \cdot V \cdot {(\cos (Φ))}^{2}}}

Next Step Substitute values of Variables

∴

V m = \sqrt{7 \cdot 1.7E-5Ω*m \cdot \frac{{(300W \cdot 24m)}^{2}}{2.67W \cdot 60m³ \cdot {(\cos (30°))}^{2}}}

Next Step Convert Units

∴

V m = \sqrt{7 \cdot 1.7E-5Ω*m \cdot \frac{{(300W \cdot 24m)}^{2}}{2.67W \cdot 60m³ \cdot {(\cos (0.5236rad))}^{2}}}

Next Step Prepare to Evaluate

∴

V m = \sqrt{7 \cdot 1.7E-5 \cdot \frac{{(300 \cdot 24)}^{2}}{2.67 \cdot 60 \cdot {(\cos (0.5236))}^{2}}}

Next Step Evaluate

∴

V m = 7.16546022420885V

LAST Step Rounding Answer

∴

V m = 7.1655V

Maximum Voltage using Volume of Conductor Material (3 Phase 4 Wire US) Formula Elements

Variables

Functions

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.

Formulas to find Maximum Voltage Underground AC

Resistivity

Resistivity is the measure of how strongly a material opposes the flow of current through them.

Symbol: ρ

Measurement: Electric ResistivityUnit: Ω*m

Note: Value can be positive or negative.

Formulas to find Resistivity

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.

Formulas to find Power Transmitted

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.

Formulas to find Length of Underground AC Wire

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.

Formulas to find Line Losses

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.

Formulas to find Volume Of Conductor

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.

Formulas to find Phase Difference

cos

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

Syntax: cos(Angle)

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Maximum Voltage Underground AC

Go Maximum Voltage using Load Current (3 Phase 4 Wire US)

V m = \frac{\sqrt{6} \cdot P}{3 \cdot \cos (Φ) \cdot I}

Go Maximum Voltage using Area of X-Section (3 Phase 4 Wire US)

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

Other formulas in Current and Voltage category

Go Load Current (3 Phase 4 Wire US)

I = \frac{\sqrt{6} \cdot P}{3 \cdot V m \cdot \cos (Φ)}

Go Load Current using Line Losses (3 Phase 4 Wire US)

I = \sqrt{\frac{P loss}{2} \cdot R}

How to Evaluate Maximum Voltage using Volume of Conductor Material (3 Phase 4 Wire US)?

Maximum Voltage using Volume of Conductor Material (3 Phase 4 Wire US) evaluator uses Maximum Voltage Underground AC = sqrt(7*Resistivity*(Power Transmitted*Length of Underground AC Wire)^2/(Line Losses*Volume Of Conductor*(cos(Phase Difference))^2)) to evaluate the Maximum Voltage Underground AC, The Maximum Voltage using Volume of Conductor Material (3 Phase 4 wire US) formula is defined as the highest voltage rating for electrical devices and equipment that can be used with the voltage definition. Maximum Voltage Underground AC is denoted by V_m symbol.

How to evaluate Maximum Voltage using Volume of Conductor Material (3 Phase 4 Wire US) using this online evaluator? To use this online evaluator for Maximum Voltage using Volume of Conductor Material (3 Phase 4 Wire US), enter Resistivity (ρ), Power Transmitted (P), Length of Underground AC Wire (L), Line Losses (P_loss), Volume Of Conductor (V) & Phase Difference (Φ) and hit the calculate button.

FAQs on Maximum Voltage using Volume of Conductor Material (3 Phase 4 Wire US)

What is the formula to find Maximum Voltage using Volume of Conductor Material (3 Phase 4 Wire US)?

The formula of Maximum Voltage using Volume of Conductor Material (3 Phase 4 Wire US) is expressed as Maximum Voltage Underground AC = sqrt(7*Resistivity*(Power Transmitted*Length of Underground AC Wire)^2/(Line Losses*Volume Of Conductor*(cos(Phase Difference))^2)). Here is an example- 7.16546 = sqrt(7*1.7E-05*(300*24)^2/(2.67*60*(cos(0.5235987755982))^2)).

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

With Resistivity (ρ), Power Transmitted (P), Length of Underground AC Wire (L), Line Losses (P_loss), Volume Of Conductor (V) & Phase Difference (Φ) we can find Maximum Voltage using Volume of Conductor Material (3 Phase 4 Wire US) using the formula - Maximum Voltage Underground AC = sqrt(7*Resistivity*(Power Transmitted*Length of Underground AC Wire)^2/(Line Losses*Volume Of Conductor*(cos(Phase Difference))^2)). This formula also uses Cosine (cos), Square Root (sqrt) function(s).

What are the other ways to Calculate Maximum Voltage Underground AC?

Here are the different ways to Calculate Maximum Voltage Underground AC-

Maximum Voltage Underground AC=(sqrt(6)*Power Transmitted)/(3*cos(Phase Difference)*Current Underground AC)
Maximum Voltage Underground AC=(Power Transmitted/cos(Phase Difference))*sqrt(2*Resistivity*Length of Underground AC Wire/(Line Losses*Area of Underground AC Wire))
Maximum Voltage Underground AC=((2*Power Transmitted)/cos(Phase Difference))*sqrt(Resistance Underground AC/(Line Losses))

Can the Maximum Voltage using Volume of Conductor Material (3 Phase 4 Wire US) be negative?

Yes, the Maximum Voltage using Volume of Conductor Material (3 Phase 4 Wire US), measured in Electric Potential can be negative.

Which unit is used to measure Maximum Voltage using Volume of Conductor Material (3 Phase 4 Wire US)?

Maximum Voltage using Volume of Conductor Material (3 Phase 4 Wire US) is usually measured using the Volt[V] for Electric Potential. Millivolt[V], Microvolt[V], Nanovolt[V] are the few other units in which Maximum Voltage using Volume of Conductor Material (3 Phase 4 Wire US) can be measured.

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Maximum Voltage using Volume of Conductor Material (3 Phase 4 Wire US) Formula

​GoMaximum Voltage using Load Current (3 Phase 4 Wire US) Formula

​GoMaximum Voltage using Area of X-Section (3 Phase 4 Wire US) Formula

Maximum Voltage using Volume of Conductor Material (3 Phase 4 Wire US) Example

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

Maximum Voltage using Volume of Conductor Material (3 Phase 4 Wire US) Formula Elements

Other Formulas to find Maximum Voltage Underground AC

Other formulas in Current and Voltage category

How to Evaluate Maximum Voltage using Volume of Conductor Material (3 Phase 4 Wire US)?

FAQs on Maximum Voltage using Volume of Conductor Material (3 Phase 4 Wire US)

Variable Name

GoMaximum Voltage using Load Current (3 Phase 4 Wire US) Formula

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