RMS Voltage using Current in Neutral Wire (2-Phase 3-Wire US) Calculator

✖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.ⓘ Power Transmitted [P]			+10% -10%
✖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.ⓘ Phase Difference [Φ]			+10% -10%
✖Current Underground AC is defined as the current flowing through the overhead ac supply wire.ⓘ Current Underground AC [I]			+10% -10%

✖Root Mean Square Voltage is the square root of the time average of the voltage squared.ⓘ RMS Voltage using Current in Neutral Wire (2-Phase 3-Wire US) [V_rms]

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RMS Voltage using Current in Neutral Wire (2-Phase 3-Wire US) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Root Mean Square Voltage = Power Transmitted/(sqrt(2)*cos(Phase Difference)*Current Underground AC)
V_rms = P/(sqrt(2)*cos(Φ)*I)
This formula uses 2 Functions, 4 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., 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., sqrt(Number)

Variables Used

Root Mean Square Voltage - (Measured in Volt) - Root Mean Square Voltage is the square root of the time average of the voltage squared.
Power Transmitted - (Measured in Watt) - 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.
Phase Difference - (Measured in Radian) - 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.
Current Underground AC - (Measured in Ampere) - Current Underground AC is defined as the current flowing through the overhead ac supply wire.

STEP 1: Convert Input(s) to Base Unit

Power Transmitted: 300 Watt --> 300 Watt No Conversion Required
Phase Difference: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
Current Underground AC: 9 Ampere --> 9 Ampere No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_rms = P/(sqrt(2)*cos(Φ)*I) --> 300/(sqrt(2)*cos(0.5235987755982)*9)

Evaluating ... ...

V_rms = 27.2165526975909

STEP 3: Convert Result to Output's Unit

27.2165526975909 Volt --> No Conversion Required

FINAL ANSWER

27.2165526975909 ≈ 27.21655 Volt <-- Root Mean Square Voltage

(Calculation completed in 00.004 seconds)

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< Current and Voltage Calculators

Maximum Voltage using Line Losses (2-Phase 3-Wire US)

LaTeX Go Maximum Voltage Underground AC = (Power Transmitted*sqrt((2+sqrt(2))*Resistivity*Length of Underground AC Wire/(Area of Underground AC Wire*Line Losses)))/cos(Phase Difference)

Maximum Voltage using Volume of Conductor Material (2-phase 3-wire US)

LaTeX Go Maximum Voltage Underground AC = (2+sqrt(2))*sqrt(Resistivity*(Power Transmitted*Length of Underground AC Wire)^2/(Line Losses*Volume Of Conductor*(cos(Phase Difference))^2))

RMS Voltage using Line Losses (2-Phase 3-Wire US)

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

Maximum Phase Voltage between Outer and Neutral Wire (2-Phase 3-Wire US)

LaTeX Go Peak Phase Voltage = Maximum Voltage Underground AC/(sqrt(2))

RMS Voltage using Current in Neutral Wire (2-Phase 3-Wire US) Formula

LaTeX Go

Root Mean Square Voltage = Power Transmitted/(sqrt(2)*cos(Phase Difference)*Current Underground AC)
V_rms = P/(sqrt(2)*cos(Φ)*I)

What is the value of volume of conductor material in 2-phase 3-wire US?

The maximum voltage between conductors is v_m/√2 so that r.m.s. value of voltage between them is v_m/2.

How to Calculate RMS Voltage using Current in Neutral Wire (2-Phase 3-Wire US)?

RMS Voltage using Current in Neutral Wire (2-Phase 3-Wire US) calculator uses Root Mean Square Voltage = Power Transmitted/(sqrt(2)*cos(Phase Difference)*Current Underground AC) to calculate the Root Mean Square Voltage, The RMS Voltage using Current in Neutral Wire (2-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 calculate RMS Voltage using Current in Neutral Wire (2-Phase 3-Wire US) using this online calculator? To use this online calculator for RMS Voltage using Current in Neutral Wire (2-Phase 3-Wire US), enter Power Transmitted (P), Phase Difference (Φ) & Current Underground AC (I) and hit the calculate button. Here is how the RMS Voltage using Current in Neutral Wire (2-Phase 3-Wire US) calculation can be explained with given input values -> 27.21655 = 300/(sqrt(2)*cos(0.5235987755982)*9).

FAQ

What is RMS Voltage using Current in Neutral Wire (2-Phase 3-Wire US)?

The RMS Voltage using Current in Neutral Wire (2-Phase 3-Wire US) formula is defined as the square root of the time average of the voltage squared and is represented as V_rms = P/(sqrt(2)*cos(Φ)*I) or Root Mean Square Voltage = Power Transmitted/(sqrt(2)*cos(Phase Difference)*Current Underground AC). 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, 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 & Current Underground AC is defined as the current flowing through the overhead ac supply wire.

How to calculate RMS Voltage using Current in Neutral Wire (2-Phase 3-Wire US)?

The RMS Voltage using Current in Neutral Wire (2-Phase 3-Wire US) formula is defined as the square root of the time average of the voltage squared is calculated using Root Mean Square Voltage = Power Transmitted/(sqrt(2)*cos(Phase Difference)*Current Underground AC). To calculate RMS Voltage using Current in Neutral Wire (2-Phase 3-Wire US), you need Power Transmitted (P), Phase Difference (Φ) & Current Underground AC (I). With our tool, you need to enter the respective value for Power Transmitted, Phase Difference & Current Underground AC and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Root Mean Square Voltage?

In this formula, Root Mean Square Voltage uses Power Transmitted, Phase Difference & Current Underground AC. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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