RMS Voltage using Load Current (Two-Phase Three-Wire OS) Solution

STEP 0: Pre-Calculation Summary
Formula Used
Root Mean Square Voltage = Power Transmitted/(2*cos(Phase Difference)*Current Overhead 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 defined as the product of current and voltage phasor in a overhead ac line at the receiving end.
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 Overhead AC - (Measured in Ampere) - Current Overhead AC is defined as the current flowing through the overhead ac supply wire.
STEP 1: Convert Input(s) to Base Unit
Power Transmitted: 890 Watt --> 890 Watt No Conversion Required
Phase Difference: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
Current Overhead AC: 6.9 Ampere --> 6.9 Ampere No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vrms = P/(2*cos(Φ)*I) --> 890/(2*cos(0.5235987755982)*6.9)
Evaluating ... ...
Vrms = 74.4698173302561
STEP 3: Convert Result to Output's Unit
74.4698173302561 Volt --> No Conversion Required
FINAL ANSWER
74.4698173302561 74.46982 Volt <-- Root Mean Square Voltage
(Calculation completed in 00.004 seconds)

Credits

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

Maximum Voltage using Area of X-Section(Two-Phase Three-Wire OS)
Go Maximum Voltage Overhead AC = sqrt((Length of Overhead AC Wire*Resistivity*(Power Transmitted^2)*(2+sqrt(2)))/(2*Area of Overhead AC Wire*Line Losses*((cos(Phase Difference))^2)))
RMS Voltage using Area of X-Section(Two-Phase Three-Wire OS)
Go Root Mean Square Voltage = sqrt(((2+sqrt(2))*Length of Overhead AC Wire*Resistivity*(Power Transmitted^2))/(Area of Overhead AC Wire*Line Losses*((cos(Phase Difference))^2)))
Maximum Voltage using Line Losses (Two-Phase Three-Wire OS)
Go Maximum Voltage Overhead AC = (Power Transmitted*sqrt((2+sqrt(2))*Resistivity*Length of Overhead AC Wire/(2*Area of Overhead AC Wire*Line Losses)))/cos(Phase Difference)
Maximum Voltage using Volume of Conductor Material (Two-Phase Three-Wire OS)
Go Maximum Voltage Overhead AC = (2+sqrt(2))*sqrt(Resistivity*(Power Transmitted*Length of Overhead AC Wire)^2/(Line Losses*Volume of Conductor*(cos(Phase Difference))^2))
RMS Voltage using Line Losses (Two-Phase Three-Wire OS)
Go Root Mean Square Voltage = Power Transmitted*sqrt((2+sqrt(2))*Resistivity*Length of Overhead AC Wire/(2*Area of Overhead AC Wire*Line Losses))/cos(Phase Difference)
Load Current using Area of X-Section(Two-Phase Three-Wire OS)
Go Current Overhead AC = sqrt(Line Losses*Area of Overhead AC Wire/((2+sqrt(2))*Resistivity*Length of Overhead AC Wire))
Maximum Voltage using Load Current (Two-Phase Three-Wire OS)
Go Maximum Voltage Overhead AC = Power Transmitted/(sqrt(2)*cos(Phase Difference)*Current Overhead AC)
Load Current in Each Outer (Two-Phase Three-Wire OS)
Go Current Overhead AC = Power Transmitted/(sqrt(2)*Maximum Voltage Overhead AC*cos(Phase Difference))
Load Current(Two-Phase Three-Wire OS)
Go Current Overhead AC = Power Transmitted/(sqrt(2)*Maximum Voltage Overhead AC*cos(Phase Difference))
RMS Voltage using Load Current (Two-Phase Three-Wire OS)
Go Root Mean Square Voltage = Power Transmitted/(2*cos(Phase Difference)*Current Overhead AC)
Load Current of Neutral Wire (Two-Phase Three-Wire OS)
Go Current in Neutral Wire = sqrt(2)*Current Overhead AC
Maximum Voltage(Two-Phase Three-Wire OS)
Go Voltage Overhead AC = (1)*Maximum Voltage Overhead AC

RMS Voltage using Load Current (Two-Phase Three-Wire OS) Formula

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

What is 2-phase 3-wire overhead system?

A 2-phase, 3-wire AC system has a middle conductor of the same cross-sectional area as the outer and supplies a load of 20 MW. The system is converted into 3-phase, 4-wire system by running a neutral wire. Calculate the new power which can be supplied if the voltage across the consumer terminal and percentage line losses remain the same.

How to Calculate RMS Voltage using Load Current (Two-Phase Three-Wire OS)?

RMS Voltage using Load Current (Two-Phase Three-Wire OS) calculator uses Root Mean Square Voltage = Power Transmitted/(2*cos(Phase Difference)*Current Overhead AC) to calculate the Root Mean Square Voltage, The RMS Voltage using Load Current (two-phase three-wire OS) 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 Load Current (Two-Phase Three-Wire OS) using this online calculator? To use this online calculator for RMS Voltage using Load Current (Two-Phase Three-Wire OS), enter Power Transmitted (P), Phase Difference (Φ) & Current Overhead AC (I) and hit the calculate button. Here is how the RMS Voltage using Load Current (Two-Phase Three-Wire OS) calculation can be explained with given input values -> 74.46982 = 890/(2*cos(0.5235987755982)*6.9).

FAQ

What is RMS Voltage using Load Current (Two-Phase Three-Wire OS)?
The RMS Voltage using Load Current (two-phase three-wire OS) 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 Overhead AC). Power Transmitted is defined as the product of current and voltage phasor in a overhead ac line at the receiving end, 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 Overhead AC is defined as the current flowing through the overhead ac supply wire.
How to calculate RMS Voltage using Load Current (Two-Phase Three-Wire OS)?
The RMS Voltage using Load Current (two-phase three-wire OS) 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 Overhead AC). To calculate RMS Voltage using Load Current (Two-Phase Three-Wire OS), you need Power Transmitted (P), Phase Difference (Φ) & Current Overhead AC (I). With our tool, you need to enter the respective value for Power Transmitted, Phase Difference & Current Overhead 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 Overhead AC. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Root Mean Square Voltage = sqrt(((2+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 = Power Transmitted*sqrt((2+sqrt(2))*Resistivity*Length of Overhead AC Wire/(2*Area of Overhead AC Wire*Line Losses))/cos(Phase Difference)
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