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

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

GoRMS Voltage using Line Losses (3 Phase 4 Wire US) 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 = (2 \cdot \frac{P}{3} \cdot I \cdot \cos (Φ))

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

RMS Voltage using Load Current (3 Phase 4 Wire US) Example

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Here is how the RMS Voltage using Load Current (3 Phase 4 Wire US) equation looks like with Values.

Here is how the RMS Voltage using Load Current (3 Phase 4 Wire US) equation looks like with Units.

Here is how the RMS Voltage using Load Current (3 Phase 4 Wire US) equation looks like.

1558.8457 = (2 \cdot \frac{300}{3} \cdot 9 \cdot \cos (30))

1558.8457V = (2 \cdot \frac{300W}{3} \cdot 9A \cdot \cos (30°))

1558.8457 = (2 \cdot \frac{300}{3} \cdot 9 \cdot \cos (30))

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RMS Voltage using Load Current (3 Phase 4 Wire US) Solution

Follow our step by step solution on how to calculate RMS Voltage using Load Current (3 Phase 4 Wire US)?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V rms = (2 \cdot \frac{300W}{3} \cdot 9A \cdot \cos (30°))

Next Step Convert Units

∴

V rms = (2 \cdot \frac{300W}{3} \cdot 9A \cdot \cos (0.5236rad))

Next Step Prepare to Evaluate

∴

V rms = (2 \cdot \frac{300}{3} \cdot 9 \cdot \cos (0.5236))

Next Step Evaluate

∴

V rms = 1558.84572681199V

LAST Step Rounding Answer

∴

V rms = 1558.8457V

RMS Voltage using Load Current (3 Phase 4 Wire US) 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 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

Current Underground AC

Current Underground 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 Underground 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)

Other Formulas to find Root Mean Square Voltage

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

V rms = (2 \cdot \frac{P}{\cos (Φ)}) \cdot \sqrt{ρ \cdot \frac{L}{6 \cdot P loss \cdot A}}

Go RMS Voltage using Line Losses (3 Phase 4 Wire US)

V rms = (2 \cdot \frac{P}{\cos (Φ)}) \cdot \sqrt{\frac{R}{6 \cdot P loss}}

Go RMS Voltage using Volume of Conductor Material (3 Phase 4 Wire US)

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

Other formulas in Power and Power Factor category

Go Power Transmitted using Volume of Conductor Material (3 Phase 4 Wire US)

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

Go Power Factor using Volume of Conductor Material (3 Phase 4 Wire US)

PF = \sqrt{(1.75) \cdot \frac{K}{V}}

Go Angle of PF using Volume of Conductor Material (3 Phase 4 Wire US)

Φ = a \cos (\sqrt{(1.75) \cdot \frac{K}{V}})

Go Power Transmitted using Load Current (3 Phase 4 Wire US)

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

How to Evaluate RMS Voltage using Load Current (3 Phase 4 Wire US)?

RMS Voltage using Load Current (3 Phase 4 Wire US) evaluator uses Root Mean Square Voltage = (2*Power Transmitted/3*Current Underground AC*cos(Phase Difference)) to evaluate the Root Mean Square Voltage, The RMS Voltage using Load Current (3 phase 4 wire US) 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 (3 Phase 4 Wire US) using this online evaluator? To use this online evaluator for RMS Voltage using Load Current (3 Phase 4 Wire US), enter Power Transmitted (P), Current Underground AC (I) & Phase Difference (Φ) and hit the calculate button.

FAQs on RMS Voltage using Load Current (3 Phase 4 Wire US)

What is the formula to find RMS Voltage using Load Current (3 Phase 4 Wire US)?

The formula of RMS Voltage using Load Current (3 Phase 4 Wire US) is expressed as Root Mean Square Voltage = (2*Power Transmitted/3*Current Underground AC*cos(Phase Difference)). Here is an example- 1558.846 = (2*300/3*9*cos(0.5235987755982)).

How to calculate RMS Voltage using Load Current (3 Phase 4 Wire US)?

With Power Transmitted (P), Current Underground AC (I) & Phase Difference (Φ) we can find RMS Voltage using Load Current (3 Phase 4 Wire US) using the formula - Root Mean Square Voltage = (2*Power Transmitted/3*Current Underground AC*cos(Phase Difference)). This formula also uses Cosine (cos) 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=(2*Power Transmitted/cos(Phase Difference))*sqrt(Resistivity*Length of Underground AC Wire/(6*Line Losses*Area of Underground AC Wire))
Root Mean Square Voltage=(2*Power Transmitted/cos(Phase Difference))*sqrt(Resistance Underground AC/(6*Line Losses))
Root Mean Square Voltage=(Power Transmitted*Length of Underground AC Wire/cos(Phase Difference))*sqrt(Resistivity/(Line Losses*Volume Of Conductor))

Can the RMS Voltage using Load Current (3 Phase 4 Wire US) be negative?

No, the RMS Voltage using Load Current (3 Phase 4 Wire US), measured in Electric Potential cannot be negative.

Which unit is used to measure RMS Voltage using Load Current (3 Phase 4 Wire US)?

RMS Voltage using Load Current (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 RMS Voltage using Load Current (3 Phase 4 Wire US) can be measured.

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