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Maximum Voltage using Area of X-Section(Single Phase Two Wire OS) Formula

GoMaximum Voltage using Load Current (Single Phase Two 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 = \sqrt{\frac{4 \cdot L \cdot ρ \cdot P^{2}}{A \cdot P loss \cdot {\cos (Φ)}^{2}}}

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

Maximum Voltage using Area of X-Section(Single Phase Two Wire OS) Example

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Here is how the Maximum Voltage using Area of X-Section(Single Phase Two Wire OS) equation looks like with Values.

Here is how the Maximum Voltage using Area of X-Section(Single Phase Two Wire OS) equation looks like with Units.

Here is how the Maximum Voltage using Area of X-Section(Single Phase Two Wire OS) equation looks like.

10.836 = \sqrt{\frac{4 \cdot 10.63 \cdot 1.7E-5 \cdot 890^{2}}{0.79 \cdot 8.23 \cdot {\cos (30)}^{2}}}

10.836V = \sqrt{\frac{4 \cdot 10.63m \cdot 1.7E-5Ω*m \cdot {890W}^{2}}{0.79m² \cdot 8.23W \cdot {\cos (30°)}^{2}}}

10.836 = \sqrt{\frac{4 \cdot 10.63 \cdot 1.7E-5 \cdot 890^{2}}{0.79 \cdot 8.23 \cdot {\cos (30)}^{2}}}

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Maximum Voltage using Area of X-Section(Single Phase Two Wire OS) Solution

Follow our step by step solution on how to calculate Maximum Voltage using Area of X-Section(Single Phase Two Wire OS)?

FIRST Step Consider the formula

V m = \sqrt{\frac{4 \cdot L \cdot ρ \cdot P^{2}}{A \cdot P loss \cdot {\cos (Φ)}^{2}}}

Next Step Substitute values of Variables

∴

V m = \sqrt{\frac{4 \cdot 10.63m \cdot 1.7E-5Ω*m \cdot {890W}^{2}}{0.79m² \cdot 8.23W \cdot {\cos (30°)}^{2}}}

Next Step Convert Units

∴

V m = \sqrt{\frac{4 \cdot 10.63m \cdot 1.7E-5Ω*m \cdot {890W}^{2}}{0.79m² \cdot 8.23W \cdot {\cos (0.5236rad)}^{2}}}

Next Step Prepare to Evaluate

∴

V m = \sqrt{\frac{4 \cdot 10.63 \cdot 1.7E-5 \cdot 890^{2}}{0.79 \cdot 8.23 \cdot {\cos (0.5236)}^{2}}}

Next Step Evaluate

∴

V m = 10.8359501970795V

LAST Step Rounding Answer

∴

V m = 10.836V

Maximum Voltage using Area of X-Section(Single Phase Two 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

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

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 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

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

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 Overhead AC

Go Maximum Voltage using Load Current (Single Phase Two Wire OS)

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

Other formulas in Current and Voltage category

Go Load Current(Single Phase Two Wire OS)

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

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

Maximum Voltage using Area of X-Section(Single Phase Two Wire OS) evaluator uses Maximum Voltage Overhead AC = sqrt((4*Length of Overhead AC Wire*Resistivity*Power Transmitted^2)/(Area of Overhead AC Wire*Line Losses*cos(Phase Difference)^2)) to evaluate the Maximum Voltage Overhead AC, The Maximum Voltage using Area of X-section(single phase two 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 Area of X-Section(Single Phase Two Wire OS) using this online evaluator? To use this online evaluator for Maximum Voltage using Area of X-Section(Single Phase Two Wire OS), enter Length of Overhead AC Wire (L), Resistivity (ρ), Power Transmitted (P), Area of Overhead AC Wire (A), Line Losses (P_loss) & Phase Difference (Φ) and hit the calculate button.

FAQs on Maximum Voltage using Area of X-Section(Single Phase Two Wire OS)

What is the formula to find Maximum Voltage using Area of X-Section(Single Phase Two Wire OS)?

The formula of Maximum Voltage using Area of X-Section(Single Phase Two Wire OS) is expressed as Maximum Voltage Overhead AC = sqrt((4*Length of Overhead AC Wire*Resistivity*Power Transmitted^2)/(Area of Overhead AC Wire*Line Losses*cos(Phase Difference)^2)). Here is an example- 10.83595 = sqrt((4*10.63*1.7E-05*890^2)/(0.79*8.23*cos(0.5235987755982)^2)).

How to calculate Maximum Voltage using Area of X-Section(Single Phase Two Wire OS)?

With Length of Overhead AC Wire (L), Resistivity (ρ), Power Transmitted (P), Area of Overhead AC Wire (A), Line Losses (P_loss) & Phase Difference (Φ) we can find Maximum Voltage using Area of X-Section(Single Phase Two Wire OS) using the formula - Maximum Voltage Overhead AC = sqrt((4*Length of Overhead AC Wire*Resistivity*Power Transmitted^2)/(Area of Overhead AC Wire*Line Losses*cos(Phase Difference)^2)). 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=(sqrt(2)*Power Transmitted)/(Current Overhead AC*cos(Phase Difference))

Can the Maximum Voltage using Area of X-Section(Single Phase Two Wire OS) be negative?

Yes, the Maximum Voltage using Area of X-Section(Single Phase Two Wire OS), measured in Electric Potential can be negative.

Which unit is used to measure Maximum Voltage using Area of X-Section(Single Phase Two Wire OS)?

Maximum Voltage using Area of X-Section(Single Phase Two 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 Area of X-Section(Single Phase Two Wire OS) can be measured.

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Maximum Voltage using Area of X-Section(Single Phase Two Wire OS) Formula

​GoMaximum Voltage using Load Current (Single Phase Two Wire OS) Formula

Maximum Voltage using Area of X-Section(Single Phase Two Wire OS) Example

Maximum Voltage using Area of X-Section(Single Phase Two Wire OS) Solution

Maximum Voltage using Area of X-Section(Single Phase Two 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 Area of X-Section(Single Phase Two Wire OS)?

FAQs on Maximum Voltage using Area of X-Section(Single Phase Two Wire OS)

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GoMaximum Voltage using Load Current (Single Phase Two Wire OS) Formula