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Maximum Voltage using Line Losses (Single-Phase Three-Wire OS) Formula

GoMaximum Voltage(Single-Phase Three-Wire OS) Formula

GoMaximum Voltage using Area of X-Section(Single-Phase Three-Wire OS) Formula

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

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

V_m - Maximum Voltage Overhead AC?P - Power Transmitted?Φ - Phase Difference?ρ - Resistivity?L - Length of Overhead AC Wire?A - Area of Overhead AC Wire?P_loss - Line Losses?

Maximum Voltage using Line Losses (Single-Phase Three-Wire OS) Example

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Here is how the Maximum Voltage using Line Losses (Single-Phase Three-Wire OS) equation looks like with Values.

Here is how the Maximum Voltage using Line Losses (Single-Phase Three-Wire OS) equation looks like with Units.

Here is how the Maximum Voltage using Line Losses (Single-Phase Three-Wire OS) equation looks like.

5.418 = (\frac{890}{\cos (30)}) \cdot \sqrt{1.7E-5 \cdot \frac{10.63}{0.79 \cdot 8.23}}

5.418V = (\frac{890W}{\cos (30°)}) \cdot \sqrt{1.7E-5Ω*m \cdot \frac{10.63m}{0.79m² \cdot 8.23W}}

5.418 = (\frac{890}{\cos (30)}) \cdot \sqrt{1.7E-5 \cdot \frac{10.63}{0.79 \cdot 8.23}}

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Maximum Voltage using Line Losses (Single-Phase Three-Wire OS) Solution

Follow our step by step solution on how to calculate Maximum Voltage using Line Losses (Single-Phase Three-Wire OS)?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V m = (\frac{890W}{\cos (30°)}) \cdot \sqrt{1.7E-5Ω*m \cdot \frac{10.63m}{0.79m² \cdot 8.23W}}

Next Step Convert Units

∴

V m = (\frac{890W}{\cos (0.5236rad)}) \cdot \sqrt{1.7E-5Ω*m \cdot \frac{10.63m}{0.79m² \cdot 8.23W}}

Next Step Prepare to Evaluate

∴

V m = (\frac{890}{\cos (0.5236)}) \cdot \sqrt{1.7E-5 \cdot \frac{10.63}{0.79 \cdot 8.23}}

Next Step Evaluate

∴

V m = 5.41797509853976V

LAST Step Rounding Answer

∴

V m = 5.418V

Maximum Voltage using Line Losses (Single-Phase Three-Wire OS) Formula Elements

Variables

Functions

Maximum Voltage Overhead AC

Maximum Voltage Overhead 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 Overhead AC

Power Transmitted

Power Transmitted is defined as the product of current and voltage phasor in a overhead ac line at the receiving end.

Symbol: P

Measurement: PowerUnit: W

Note: Value should be greater than 0.

Formulas to find Power Transmitted

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

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

Length of Overhead AC Wire

Length of Overhead 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 Overhead AC Wire

Area of Overhead AC Wire

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

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Overhead AC Wire

Line Losses

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

Symbol: P_loss

Measurement: PowerUnit: W

Note: Value can be positive or negative.

Formulas to find Line Losses

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 Overhead AC

Go Maximum Voltage(Single-Phase Three-Wire OS)

V m = (2) \cdot V ac

Go Maximum Voltage using Area of X-Section(Single-Phase Three-Wire OS)

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

Other formulas in Current and Voltage category

Go Load Current(Single-Phase Three-Wire OS)

I = \frac{P}{V m \cdot \cos (Φ) \cdot \sqrt{2}}

Go RMS Voltage using Area of X-Section(Single-Phase Three-Wire OS)

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

How to Evaluate Maximum Voltage using Line Losses (Single-Phase Three-Wire OS)?

Maximum Voltage using Line Losses (Single-Phase Three-Wire OS) evaluator uses Maximum Voltage Overhead AC = (Power Transmitted/cos(Phase Difference))*sqrt(Resistivity*Length of Overhead AC Wire/(Area of Overhead AC Wire*Line Losses)) to evaluate the Maximum Voltage Overhead AC, The Maximum Voltage using Line Losses (single-Phase three-Wire OS) formula is defined as the highest voltage rating for electrical devices and equipment that can be used with the voltage definition. Maximum Voltage Overhead AC is denoted by V_m symbol.

How to evaluate Maximum Voltage using Line Losses (Single-Phase Three-Wire OS) using this online evaluator? To use this online evaluator for Maximum Voltage using Line Losses (Single-Phase Three-Wire OS), enter Power Transmitted (P), Phase Difference (Φ), Resistivity (ρ), Length of Overhead AC Wire (L), Area of Overhead AC Wire (A) & Line Losses (P_loss) and hit the calculate button.

FAQs on Maximum Voltage using Line Losses (Single-Phase Three-Wire OS)

What is the formula to find Maximum Voltage using Line Losses (Single-Phase Three-Wire OS)?

The formula of Maximum Voltage using Line Losses (Single-Phase Three-Wire OS) is expressed as Maximum Voltage Overhead AC = (Power Transmitted/cos(Phase Difference))*sqrt(Resistivity*Length of Overhead AC Wire/(Area of Overhead AC Wire*Line Losses)). Here is an example- 5.417975 = (890/cos(0.5235987755982))*sqrt(1.7E-05*10.63/(0.79*8.23)).

How to calculate Maximum Voltage using Line Losses (Single-Phase Three-Wire OS)?

With Power Transmitted (P), Phase Difference (Φ), Resistivity (ρ), Length of Overhead AC Wire (L), Area of Overhead AC Wire (A) & Line Losses (P_loss) we can find Maximum Voltage using Line Losses (Single-Phase Three-Wire OS) using the formula - Maximum Voltage Overhead AC = (Power Transmitted/cos(Phase Difference))*sqrt(Resistivity*Length of Overhead AC Wire/(Area of Overhead AC Wire*Line Losses)). This formula also uses Cosine (cos), Square Root (sqrt) function(s).

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

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

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

Can the Maximum Voltage using Line Losses (Single-Phase Three-Wire OS) be negative?

Yes, the Maximum Voltage using Line Losses (Single-Phase Three-Wire OS), measured in Electric Potential can be negative.

Which unit is used to measure Maximum Voltage using Line Losses (Single-Phase Three-Wire OS)?

Maximum Voltage using Line Losses (Single-Phase Three-Wire OS) 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 Line Losses (Single-Phase Three-Wire OS) can be measured.

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Maximum Voltage using Line Losses (Single-Phase Three-Wire OS) Formula

​GoMaximum Voltage(Single-Phase Three-Wire OS) Formula

​GoMaximum Voltage using Area of X-Section(Single-Phase Three-Wire OS) Formula

Maximum Voltage using Line Losses (Single-Phase Three-Wire OS) Example

Maximum Voltage using Line Losses (Single-Phase Three-Wire OS) Solution

Maximum Voltage using Line Losses (Single-Phase Three-Wire OS) Formula Elements

Other Formulas to find Maximum Voltage Overhead AC

Other formulas in Current and Voltage category

How to Evaluate Maximum Voltage using Line Losses (Single-Phase Three-Wire OS)?

FAQs on Maximum Voltage using Line Losses (Single-Phase Three-Wire OS)

Variable Name

GoMaximum Voltage(Single-Phase Three-Wire OS) Formula

GoMaximum Voltage using Area of X-Section(Single-Phase Three-Wire OS) Formula