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Maximum Voltage using Load Current(3-Phase 3-Wire OS) Formula

GoMaximum Voltage using Area of X-Section(3-Phase 3-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{\sqrt{2} \cdot P}{3 \cdot I \cdot \cos (Φ)}

V_m - Maximum Voltage Overhead AC?P - Power Transmitted?I - Current Overhead AC?Φ - Phase Difference?

Maximum Voltage using Load Current(3-Phase 3-Wire OS) Example

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Here is how the Maximum Voltage using Load Current(3-Phase 3-Wire OS) equation looks like with Values.

Here is how the Maximum Voltage using Load Current(3-Phase 3-Wire OS) equation looks like with Units.

Here is how the Maximum Voltage using Load Current(3-Phase 3-Wire OS) equation looks like.

70.2108 = \frac{\sqrt{2} \cdot 890}{3 \cdot 6.9 \cdot \cos (30)}

70.2108V = \frac{\sqrt{2} \cdot 890W}{3 \cdot 6.9A \cdot \cos (30°)}

70.2108 = \frac{\sqrt{2} \cdot 890}{3 \cdot 6.9 \cdot \cos (30)}

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Maximum Voltage using Load Current(3-Phase 3-Wire OS) Solution

Follow our step by step solution on how to calculate Maximum Voltage using Load Current(3-Phase 3-Wire OS)?

FIRST Step Consider the formula

V m = \frac{\sqrt{2} \cdot P}{3 \cdot I \cdot \cos (Φ)}

Next Step Substitute values of Variables

∴

V m = \frac{\sqrt{2} \cdot 890W}{3 \cdot 6.9A \cdot \cos (30°)}

Next Step Convert Units

∴

V m = \frac{\sqrt{2} \cdot 890W}{3 \cdot 6.9A \cdot \cos (0.5236rad)}

Next Step Prepare to Evaluate

∴

V m = \frac{\sqrt{2} \cdot 890}{3 \cdot 6.9 \cdot \cos (0.5236)}

Next Step Evaluate

∴

V m = 70.2108171039301V

LAST Step Rounding Answer

∴

V m = 70.2108V

Maximum Voltage using Load Current(3-Phase 3-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

Current Overhead AC

Current Overhead AC is defined as the current flowing through the overhead ac supply wire.

Symbol: I

Measurement: Electric CurrentUnit: A

Note: Value can be positive or negative.

Formulas to find Current Overhead AC

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 Area of X-Section(3-Phase 3-Wire OS)

V m = \sqrt{\frac{2 \cdot L \cdot ρ \cdot (P^{2})}{3 \cdot A \cdot P loss \cdot ({(\cos (Φ))}^{2})}}

Other formulas in Current and Voltage category

Go Resistance(3-Phase 3-Wire OS)

R = ρ \cdot \frac{L}{A}

Go Load Current(3-Phase 3-Wire OS)

I = \frac{\sqrt{2} \cdot P}{(3) \cdot V m \cdot \cos (Φ)}

Go Maximum Voltage(3-Phase 3-Wire OS)

V ac = (1) \cdot V m

Go Resistivity using Area of X-Section(3-Phase 3-Wire OS)

ρ = 3 \cdot A \cdot ({V m}^{2}) \cdot P loss \cdot \frac{{(\cos (Φ))}^{2}}{2 \cdot L \cdot (P^{2})}

How to Evaluate Maximum Voltage using Load Current(3-Phase 3-Wire OS)?

Maximum Voltage using Load Current(3-Phase 3-Wire OS) evaluator uses Maximum Voltage Overhead AC = (sqrt(2)*Power Transmitted)/(3*Current Overhead AC*cos(Phase Difference)) to evaluate the Maximum Voltage Overhead AC, The Maximum Voltage using Load Current(3-phase 3-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 Load Current(3-Phase 3-Wire OS) using this online evaluator? To use this online evaluator for Maximum Voltage using Load Current(3-Phase 3-Wire OS), enter Power Transmitted (P), Current Overhead AC (I) & Phase Difference (Φ) and hit the calculate button.

FAQs on Maximum Voltage using Load Current(3-Phase 3-Wire OS)

What is the formula to find Maximum Voltage using Load Current(3-Phase 3-Wire OS)?

The formula of Maximum Voltage using Load Current(3-Phase 3-Wire OS) is expressed as Maximum Voltage Overhead AC = (sqrt(2)*Power Transmitted)/(3*Current Overhead AC*cos(Phase Difference)). Here is an example- 70.21082 = (sqrt(2)*890)/(3*6.9*cos(0.5235987755982)).

How to calculate Maximum Voltage using Load Current(3-Phase 3-Wire OS)?

With Power Transmitted (P), Current Overhead AC (I) & Phase Difference (Φ) we can find Maximum Voltage using Load Current(3-Phase 3-Wire OS) using the formula - Maximum Voltage Overhead AC = (sqrt(2)*Power Transmitted)/(3*Current Overhead AC*cos(Phase Difference)). 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*Length of Overhead AC Wire*Resistivity*(Power Transmitted^2))/(3*Area of Overhead AC Wire*Line Losses*((cos(Phase Difference))^2)))

Can the Maximum Voltage using Load Current(3-Phase 3-Wire OS) be negative?

Yes, the Maximum Voltage using Load Current(3-Phase 3-Wire OS), measured in Electric Potential can be negative.

Which unit is used to measure Maximum Voltage using Load Current(3-Phase 3-Wire OS)?

Maximum Voltage using Load Current(3-Phase 3-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 Load Current(3-Phase 3-Wire OS) can be measured.

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