RMS Voltage using Load Current (1 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 Load Current (1 Phase 3 Wire US) [V_rms]

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Formula

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RMS Voltage using Load Current (1 Phase 3 Wire US)

Formula

`"V"_{"rms"} = sqrt(2)*"P"/(cos("Φ")*"I")`

Example

`"54.43311V"=sqrt(2)*"300W"/(cos("30°")*"9A")`

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RMS Voltage using Load Current (1 Phase 3 Wire US) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Root Mean Square Voltage = sqrt(2)*Power Transmitted/(cos(Phase Difference)*Current Underground AC)
V_rms = sqrt(2)*P/(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 = sqrt(2)*P/(cos(Φ)*I) --> sqrt(2)*300/(cos(0.5235987755982)*9)

Evaluating ... ...

V_rms = 54.4331053951817

STEP 3: Convert Result to Output's Unit

54.4331053951817 Volt --> No Conversion Required

FINAL ANSWER

54.4331053951817 ≈ 54.43311 Volt <-- Root Mean Square Voltage

(Calculation completed in 00.004 seconds)

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< 10+ Current & Voltage Calculators

Maximum Voltage using Area of X-section (1 Phase 3 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))

Maximum Voltage using Volume of Conductor Material(1 Phase 3 Wire US)

Go Maximum Voltage Underground AC = sqrt(10*Resistivity*(Power Transmitted*Length of Underground AC Wire)^2/(Line Losses*Volume Of Conductor*(cos(Phase Difference))^2))

RMS Voltage using Volume of Conductor Material(1 Phase 3 Wire US)

Go Root Mean Square Voltage = sqrt(5*Resistivity*((Power Transmitted*Length of Underground AC Wire)^2)/(Line Losses*Volume Of Conductor*((cos(Phase Difference))^2)))

RMS Voltage using Area of X-section (1 Phase 3 Wire US)

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

Maximum Voltage using Line Losses (1 Phase 3 Wire US)

Go Maximum Voltage Underground AC = (2*Power Transmitted/cos(Phase Difference))*sqrt(Resistance Underground AC/Line Losses)

RMS Voltage using Line Losses (1 Phase 3 Wire US)

Go Root Mean Square Voltage = (Power Transmitted/cos(Phase Difference))*sqrt(2*Resistance Underground AC/(Line Losses))

Load Current using Area of X-section (1 Phase 3 Wire US)

Go Current Underground AC = sqrt((Line Losses*Area of Underground AC Wire)/(Resistivity*Length of Underground AC Wire*2))

Maximum Voltage using Load Current (1 Phase 3 Wire US)

Go Maximum Voltage Underground AC = sqrt(2)*Power Transmitted/(cos(Phase Difference)*Current Underground AC)

RMS Voltage using Load Current (1 Phase 3 Wire US)

Go Root Mean Square Voltage = sqrt(2)*Power Transmitted/(cos(Phase Difference)*Current Underground AC)

Load Current using Line Losses (1 Phase 3 Wire US)

Go Current Underground AC = sqrt(Line Losses/2*Resistance Underground AC)

RMS Voltage using Load Current (1 Phase 3 Wire US) Formula

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

What is a single phase 3 wire system?

Single-phase three-wire is also a term used to describe a system where the center of the phase is earthed rather than either end. This means that the largest voltage-to-earth fault experienced will be half the output voltage. It is commonly used when working with power tools in especially wet or 'rough' environments.

How to Calculate RMS Voltage using Load Current (1 Phase 3 Wire US)?

RMS Voltage using Load Current (1 Phase 3 Wire US) calculator uses Root Mean Square Voltage = sqrt(2)*Power Transmitted/(cos(Phase Difference)*Current Underground AC) to calculate the Root Mean Square Voltage, The RMS Voltage using Load Current (1 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 Load Current (1 Phase 3 Wire US) using this online calculator? To use this online calculator for RMS Voltage using Load Current (1 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 Load Current (1 Phase 3 Wire US) calculation can be explained with given input values -> 54.43311 = sqrt(2)*300/(cos(0.5235987755982)*9).

FAQ

What is RMS Voltage using Load Current (1 Phase 3 Wire US)?

The RMS Voltage using Load Current (1 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 = sqrt(2)*P/(cos(Φ)*I) or Root Mean Square Voltage = sqrt(2)*Power Transmitted/(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 Load Current (1 Phase 3 Wire US)?

The RMS Voltage using Load Current (1 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 = sqrt(2)*Power Transmitted/(cos(Phase Difference)*Current Underground AC). To calculate RMS Voltage using Load Current (1 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 = sqrt(5*Resistivity*((Power Transmitted*Length of Underground AC Wire)^2)/(Line Losses*Volume Of Conductor*((cos(Phase Difference))^2)))
Root Mean Square Voltage = (Power Transmitted/cos(Phase Difference))*sqrt(2*Resistivity*Length of Underground AC Wire/(Line Losses*Area of Underground AC Wire))
Root Mean Square Voltage = (Power Transmitted/cos(Phase Difference))*sqrt(2*Resistance Underground AC/(Line Losses))

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