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

STEP 0: Pre-Calculation Summary
Formula Used
Root Mean Square Voltage = Power Transmitted/(2*cos(Phase Difference)*Current Underground AC)
Vrms = P/(2*cos(Φ)*I)
This formula uses 1 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)
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
Vrms = P/(2*cos(Φ)*I) --> 300/(2*cos(0.5235987755982)*9)
Evaluating ... ...
Vrms = 19.2450089729875
STEP 3: Convert Result to Output's Unit
19.2450089729875 Volt --> No Conversion Required
FINAL ANSWER
19.2450089729875 19.24501 Volt <-- Root Mean Square Voltage
(Calculation completed in 00.004 seconds)

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Vishwakarma Government Engineering College (VGEC), Ahmedabad
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14 Current & Voltage Calculators

Maximum Voltage using Line Losses (2-Phase 3-Wire US)
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)
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)
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 Voltage using Current in Neutral Wire (2-Phase 3-Wire US)
Go Maximum Voltage Underground AC = sqrt(2)*Power Transmitted/(cos(Phase Difference)*Current Underground AC)
Current in Neutral Wire (2-Phase 3-Wire US)
Go Current Underground AC = sqrt(2)*Power Transmitted/(Maximum Voltage Underground AC*cos(Phase Difference))
RMS Voltage using Current in Neutral Wire (2-Phase 3-Wire US)
Go Root Mean Square Voltage = Power Transmitted/(sqrt(2)*cos(Phase Difference)*Current Underground AC)
Maximum Voltage using Current in Each Outer (2-Phase 3-Wire US)
Go Maximum Voltage Underground AC = Power Transmitted/(cos(Phase Difference)*Current Underground AC)
Current in Each Outer (2-Phase 3-Wire US)
Go Current Underground AC = Power Transmitted/(Maximum Voltage Underground AC*cos(Phase Difference))
RMS Voltage using Current in Each Outer (2-Phase 3-Wire US)
Go Root Mean Square Voltage = Power Transmitted/(2*cos(Phase Difference)*Current Underground AC)
Maximum Phase Voltage between Outer and Neutral Wire (2-Phase 3-Wire US)
Go Peak Phase Voltage = Maximum Voltage Underground AC/(sqrt(2))
Current in Each Outer using Current in Neutral Wire (2-Phase 3-Wire US)
Go Current Underground AC = Current in Neutral Wire/sqrt(2)
Current in Neutral Wire using Current in Each Outer (2-Phase 3-Wire US)
Go Current in Neutral Wire = sqrt(2)*Current Underground AC
Maximum Voltage using RMS Voltage between Outer and Neutral Wire (2-Phase 3-Wire US)
Go Maximum Voltage Underground AC = 2*Root Mean Square Voltage
RMS Voltage between Outer and Neutral Wire (2-Phase 3-Wire US)
Go Root Mean Square Voltage = Maximum Voltage Underground AC/2

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

Root Mean Square Voltage = Power Transmitted/(2*cos(Phase Difference)*Current Underground AC)
Vrms = P/(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 vm/√2 so that r.m.s. value of voltage between them is vm/2.

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

RMS Voltage using Current in Each Outer (2-Phase 3-Wire US) calculator uses Root Mean Square Voltage = Power Transmitted/(2*cos(Phase Difference)*Current Underground AC) to calculate the Root Mean Square Voltage, The RMS Voltage using Current in Each Outer (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 Vrms symbol.

How to calculate RMS Voltage using Current in Each Outer (2-Phase 3-Wire US) using this online calculator? To use this online calculator for RMS Voltage using Current in Each Outer (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 Each Outer (2-Phase 3-Wire US) calculation can be explained with given input values -> 19.24501 = 300/(2*cos(0.5235987755982)*9).

FAQ

What is RMS Voltage using Current in Each Outer (2-Phase 3-Wire US)?
The RMS Voltage using Current in Each Outer (2-Phase 3-Wire US) formula is defined as the square root of the time average of the voltage squared and is represented as Vrms = P/(2*cos(Φ)*I) or Root Mean Square Voltage = Power Transmitted/(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 Each Outer (2-Phase 3-Wire US)?
The RMS Voltage using Current in Each Outer (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/(2*cos(Phase Difference)*Current Underground AC). To calculate RMS Voltage using Current in Each Outer (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/(sqrt(2)*cos(Phase Difference)*Current Underground AC)
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