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

GoRMS Voltage Per Phase (3-Phase 3-Wire US) Formula

GoRMS Voltage using Area of X-Section (3-Phase 3-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 = \frac{P}{3 \cdot C 1 \cdot \cos (θ)}

V_rms - Root Mean Square Voltage?P - Power Transmitted?C₁ - Current underground DC?θ - Theta?

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

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

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

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

38.49 = \frac{300}{3 \cdot 3 \cdot \cos (30)}

38.49V = \frac{300W}{3 \cdot 3A \cdot \cos (30°)}

38.49 = \frac{300}{3 \cdot 3 \cdot \cos (30)}

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

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

FIRST Step Consider the formula

V rms = \frac{P}{3 \cdot C 1 \cdot \cos (θ)}

Next Step Substitute values of Variables

∴

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

Next Step Convert Units

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

V rms = 38.4900179459751V

LAST Step Rounding Answer

∴

V rms = 38.49V

RMS Voltage using Load Current Per Phase (3-Phase 3-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 should be greater than 0.

Formulas to find Power Transmitted

Current underground DC

Current underground DC is defined as the current flowing through the overhead ac supply wire.

Symbol: C₁

Measurement: Electric CurrentUnit: A

Note: Value can be positive or negative.

Formulas to find Current underground DC

Theta

Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.

Symbol: θ

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Theta

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 Per Phase (3-Phase 3-Wire US)

V rms = \frac{V m}{\sqrt{6}}

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

V rms = (2 \cdot \frac{P}{\cos (θ)}) \cdot \sqrt{ρ \cdot \frac{l}{P line \cdot A}}

Other formulas in Current and Voltage category

Go Maximum Voltage using Volume of Conductor Material(DC Three-Wire US)

V m = \sqrt{5 \cdot ρ \cdot \frac{{(P \cdot l)}^{2}}{P line \cdot V}}

Go Maximum Voltage using Area of X-Section (DC Three-Wire US)

V m = \sqrt{2 \cdot (P^{2}) \cdot ρ \cdot \frac{l}{P line \cdot A}}

Go Maximum Voltage using Line Losses (DC Three-Wire US)

V m = \sqrt{2 \cdot (P^{2}) \cdot \frac{R 1}{P line}}

Go Load Current using Line Losses (DC Three-Wire US)

C 1 = \sqrt{\frac{P line}{2 \cdot R 1}}

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

RMS Voltage using Load Current Per Phase (3-Phase 3-Wire US) evaluator uses Root Mean Square Voltage = Power Transmitted/(3*Current underground DC*cos(Theta)) to evaluate the Root Mean Square Voltage, The RMS Voltage using Load Current Per Phase (3-phase 3-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 Per Phase (3-Phase 3-Wire US) using this online evaluator? To use this online evaluator for RMS Voltage using Load Current Per Phase (3-Phase 3-Wire US), enter Power Transmitted (P), Current underground DC (C₁) & Theta (θ) and hit the calculate button.

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

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

The formula of RMS Voltage using Load Current Per Phase (3-Phase 3-Wire US) is expressed as Root Mean Square Voltage = Power Transmitted/(3*Current underground DC*cos(Theta)). Here is an example- 38.49002 = 300/(3*3*cos(0.5235987755982)).

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

With Power Transmitted (P), Current underground DC (C₁) & Theta (θ) we can find RMS Voltage using Load Current Per Phase (3-Phase 3-Wire US) using the formula - Root Mean Square Voltage = Power Transmitted/(3*Current underground DC*cos(Theta)). 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=Maximum Voltage/(sqrt(6))
Root Mean Square Voltage=(2*Power Transmitted/cos(Theta))*sqrt(Resistivity*Length of Wire DC/(Line Losses*Area of underground dc wire))

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

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

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

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

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