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RMS Voltage using Load Current (Single-Phase Two-Wire Mid-Point OS) Formula

GoRMS Voltage using Area of X-Section(Single-Phase Two-Wire Mid-Point Earthed OS) Formula

GoRMS Voltage using Line Losses (Single-Phase Two-Wire Mid-Point OS) Formula

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Root Mean Square Voltage is the square root of the time average of the voltage squared. Check FAQs

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

V_rms - Root Mean Square Voltage?P - Power Transmitted?I - Current Overhead AC?Φ - Phase Difference?

RMS Voltage using Load Current (Single-Phase Two-Wire Mid-Point OS) Example

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Here is how the RMS Voltage using Load Current (Single-Phase Two-Wire Mid-Point OS) equation looks like with Values.

Here is how the RMS Voltage using Load Current (Single-Phase Two-Wire Mid-Point OS) equation looks like with Units.

Here is how the RMS Voltage using Load Current (Single-Phase Two-Wire Mid-Point OS) equation looks like.

105.3162 = \frac{890}{\sqrt{2} \cdot 6.9 \cdot \cos (30)}

105.3162V = \frac{890W}{\sqrt{2} \cdot 6.9A \cdot \cos (30°)}

105.3162 = \frac{890}{\sqrt{2} \cdot 6.9 \cdot \cos (30)}

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RMS Voltage using Load Current (Single-Phase Two-Wire Mid-Point OS) Solution

Follow our step by step solution on how to calculate RMS Voltage using Load Current (Single-Phase Two-Wire Mid-Point OS)?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Convert Units

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

V rms = 105.316225655895V

LAST Step Rounding Answer

∴

V rms = 105.3162V

RMS Voltage using Load Current (Single-Phase Two-Wire Mid-Point OS) Formula Elements

Variables

Functions

Root Mean Square Voltage

Root Mean Square Voltage is the square root of the time average of the voltage squared.

Symbol: V_rms

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Root Mean Square Voltage

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 Root Mean Square Voltage

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

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

Go RMS Voltage using Line Losses (Single-Phase Two-Wire Mid-Point OS)

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

Other formulas in Current and Voltage category

Go Maximum Voltage(Single-Phase Two-Wire Mid-Point Earthed)

V m = (2) \cdot V ac

Go Load Current(Single-Phase Two-Wire Mid-Point Earthed)

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

Go Maximum Voltage using Area of X-section(Single-Phase Two-Wire Mid-Point Earthed OS)

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

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

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

How to Evaluate RMS Voltage using Load Current (Single-Phase Two-Wire Mid-Point OS)?

RMS Voltage using Load Current (Single-Phase Two-Wire Mid-Point OS) evaluator uses Root Mean Square Voltage = Power Transmitted/(sqrt(2)*Current Overhead AC*cos(Phase Difference)) to evaluate the Root Mean Square Voltage, RMS Voltage using Load Current (single-Phase two-Wire Mid-Point OS) formula is defined as the square root of the time average of the voltage squared. Root Mean Square Voltage is denoted by V_rms symbol.

How to evaluate RMS Voltage using Load Current (Single-Phase Two-Wire Mid-Point OS) using this online evaluator? To use this online evaluator for RMS Voltage using Load Current (Single-Phase Two-Wire Mid-Point OS), enter Power Transmitted (P), Current Overhead AC (I) & Phase Difference (Φ) and hit the calculate button.

FAQs on RMS Voltage using Load Current (Single-Phase Two-Wire Mid-Point OS)

What is the formula to find RMS Voltage using Load Current (Single-Phase Two-Wire Mid-Point OS)?

The formula of RMS Voltage using Load Current (Single-Phase Two-Wire Mid-Point OS) is expressed as Root Mean Square Voltage = Power Transmitted/(sqrt(2)*Current Overhead AC*cos(Phase Difference)). Here is an example- 105.3162 = 890/(sqrt(2)*6.9*cos(0.5235987755982)).

How to calculate RMS Voltage using Load Current (Single-Phase Two-Wire Mid-Point OS)?

With Power Transmitted (P), Current Overhead AC (I) & Phase Difference (Φ) we can find RMS Voltage using Load Current (Single-Phase Two-Wire Mid-Point OS) using the formula - Root Mean Square Voltage = Power Transmitted/(sqrt(2)*Current Overhead AC*cos(Phase Difference)). This formula also uses Cosine (cos), Square Root (sqrt) function(s).

What are the other ways to Calculate Root Mean Square Voltage?

Here are the different ways to Calculate Root Mean Square Voltage-

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

Can the RMS Voltage using Load Current (Single-Phase Two-Wire Mid-Point OS) be negative?

No, the RMS Voltage using Load Current (Single-Phase Two-Wire Mid-Point OS), measured in Electric Potential cannot be negative.

Which unit is used to measure RMS Voltage using Load Current (Single-Phase Two-Wire Mid-Point OS)?

RMS Voltage using Load Current (Single-Phase Two-Wire Mid-Point OS) is usually measured using the Volt[V] for Electric Potential. Millivolt[V], Microvolt[V], Nanovolt[V] are the few other units in which RMS Voltage using Load Current (Single-Phase Two-Wire Mid-Point OS) can be measured.

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RMS Voltage using Load Current (Single-Phase Two-Wire Mid-Point OS) Formula

​GoRMS Voltage using Area of X-Section(Single-Phase Two-Wire Mid-Point Earthed OS) Formula

​GoRMS Voltage using Line Losses (Single-Phase Two-Wire Mid-Point OS) Formula

RMS Voltage using Load Current (Single-Phase Two-Wire Mid-Point OS) Example

RMS Voltage using Load Current (Single-Phase Two-Wire Mid-Point OS) Solution

RMS Voltage using Load Current (Single-Phase Two-Wire Mid-Point OS) Formula Elements

Other Formulas to find Root Mean Square Voltage

Other formulas in Current and Voltage category

How to Evaluate RMS Voltage using Load Current (Single-Phase Two-Wire Mid-Point OS)?

FAQs on RMS Voltage using Load Current (Single-Phase Two-Wire Mid-Point OS)

Variable Name

GoRMS Voltage using Area of X-Section(Single-Phase Two-Wire Mid-Point Earthed OS) Formula

GoRMS Voltage using Line Losses (Single-Phase Two-Wire Mid-Point OS) Formula