RMS Voltage using Load Current (2 Phase 4 Wire US) Solution

STEP 0: Pre-Calculation Summary
Formula Used
Root Mean Square Voltage = Power Transmitted/(Current Underground AC*cos(Phase Difference))
Vrms = P/(I*cos(Φ))
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.
Current Underground AC - (Measured in Ampere) - Current Underground AC is defined as the current flowing through the overhead ac supply wire.
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.
STEP 1: Convert Input(s) to Base Unit
Power Transmitted: 300 Watt --> 300 Watt No Conversion Required
Current Underground AC: 9 Ampere --> 9 Ampere No Conversion Required
Phase Difference: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vrms = P/(I*cos(Φ)) --> 300/(9*cos(0.5235987755982))
Evaluating ... ...
Vrms = 38.4900179459751
STEP 3: Convert Result to Output's Unit
38.4900179459751 Volt --> No Conversion Required
FINAL ANSWER
38.4900179459751 38.49002 Volt <-- Root Mean Square Voltage
(Calculation completed in 00.004 seconds)

Credits

Created by Urvi Rathod
Vishwakarma Government Engineering College (VGEC), Ahmedabad
Urvi Rathod has created this Calculator and 1500+ more calculators!
Verified by Kethavath Srinath
Osmania University (OU), Hyderabad
Kethavath Srinath has verified this Calculator and 1200+ more calculators!

10+ Current & Voltage Calculators

Maximum Voltage using Area of X-Section (2 Phase 4 Wire US)
Go Maximum Voltage Underground AC = (2*Power Transmitted/cos(Phase Difference))*sqrt(Resistivity*Length of Underground AC Wire/(Line Losses*Area of Underground AC Wire))
RMS Voltage using Area of X-Section (2 Phase 4 Wire US)
Go Root Mean Square Voltage = (Power Transmitted/cos(Phase Difference))*sqrt(Resistivity*Length of Underground AC Wire/(Line Losses*Area of Underground AC Wire))
Maximum Voltage using Line Losses (2 Phase 4 Wire US)
Go Maximum Voltage Underground AC = (2*Power Transmitted/cos(Phase Difference))*sqrt(Resistance Underground AC/(Line Losses))
RMS Voltage using Line Losses (2 Phase 4 Wire US)
Go Root Mean Square Voltage = (Power Transmitted/cos(Phase Difference))*sqrt(Resistance Underground AC/(Line Losses))
Load Current using Area of X-Section (2 Phase 4 Wire US)
Go Current Underground AC = sqrt(Line Losses*Area of Underground AC Wire/(2*Resistivity*Length of Underground AC Wire))
Load Current using Volume of Conductor Material (2 Phase 4 Wire US)
Go Current Underground AC = sqrt(Volume Of Conductor*Line Losses/(4*Resistivity*(Length of Underground AC Wire^2)))
Maximum Voltage using Load Current (2 Phase 4 Wire US)
Go Maximum Voltage Underground AC = sqrt(2)*Power Transmitted/(Current Underground AC*cos(Phase Difference))
Load Current (2 Phase 4 Wire US)
Go Current Underground AC = sqrt(2)*Power Transmitted/(Maximum Voltage Underground AC*cos(Phase Difference))
RMS Voltage using Load Current (2 Phase 4 Wire US)
Go Root Mean Square Voltage = Power Transmitted/(Current Underground AC*cos(Phase Difference))
Load Current using Line Losses (2 Phase 4 Wire US)
Go Current Underground AC = sqrt(Line Losses/2*Resistance Underground AC)

RMS Voltage using Load Current (2 Phase 4 Wire US) Formula

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

What is the value of maximum voltage in 2-phase 4-wire underground system?

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

How to Calculate RMS Voltage using Load Current (2 Phase 4 Wire US)?

RMS Voltage using Load Current (2 Phase 4 Wire US) calculator uses Root Mean Square Voltage = Power Transmitted/(Current Underground AC*cos(Phase Difference)) to calculate the Root Mean Square Voltage, The RMS Voltage using Load Current (2 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 Vrms symbol.

How to calculate RMS Voltage using Load Current (2 Phase 4 Wire US) using this online calculator? To use this online calculator for RMS Voltage using Load Current (2 Phase 4 Wire US), enter Power Transmitted (P), Current Underground AC (I) & Phase Difference (Φ) and hit the calculate button. Here is how the RMS Voltage using Load Current (2 Phase 4 Wire US) calculation can be explained with given input values -> 38.49002 = 300/(9*cos(0.5235987755982)).

FAQ

What is RMS Voltage using Load Current (2 Phase 4 Wire US)?
The RMS Voltage using Load Current (2 phase 4 wire US) formula is defined as the square root of the time average of the voltage squared and is represented as Vrms = P/(I*cos(Φ)) or Root Mean Square Voltage = Power Transmitted/(Current Underground AC*cos(Phase Difference)). 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, Current Underground AC is defined as the current flowing through the overhead ac supply wire & 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.
How to calculate RMS Voltage using Load Current (2 Phase 4 Wire US)?
The RMS Voltage using Load Current (2 phase 4 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/(Current Underground AC*cos(Phase Difference)). To calculate RMS Voltage using Load Current (2 Phase 4 Wire US), you need Power Transmitted (P), Current Underground AC (I) & Phase Difference (Φ). With our tool, you need to enter the respective value for Power Transmitted, Current Underground AC & Phase Difference 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, Current Underground AC & Phase Difference. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Root Mean Square Voltage = (Power Transmitted/cos(Phase Difference))*sqrt(Resistivity*Length of Underground AC Wire/(Line Losses*Area of Underground AC Wire))
  • Root Mean Square Voltage = (Power Transmitted/cos(Phase Difference))*sqrt(Resistance Underground AC/(Line Losses))
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!