Maximum 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%

✖Maximum Voltage Underground AC is defined as the peak amplitude of the AC voltage supplied to the line or wire.ⓘ Maximum Voltage using Current in Neutral Wire (2-Phase 3-Wire US) [V_m]

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

Formula

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

Example

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

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

STEP 0: Pre-Calculation Summary

Formula Used

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

Maximum Voltage Underground AC - (Measured in Volt) - Maximum Voltage Underground AC is defined as the peak amplitude of the AC voltage supplied to the line or wire.
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_m = sqrt(2)*P/(cos(Φ)*I) --> sqrt(2)*300/(cos(0.5235987755982)*9)

Evaluating ... ...

V_m = 54.4331053951817

STEP 3: Convert Result to Output's Unit

54.4331053951817 Volt --> No Conversion Required

FINAL ANSWER

54.4331053951817 ≈ 54.43311 Volt <-- Maximum Voltage Underground AC

(Calculation completed in 00.004 seconds)

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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

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

Maximum Voltage Underground AC = sqrt(2)*Power Transmitted/(cos(Phase Difference)*Current Underground AC)
V_m = sqrt(2)*P/(cos(Φ)*I)

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

The volume of conductor material required in this system is 2.914/cos²θ times that of 2-wire d.c.system with the one conductor earthed.

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

Maximum Voltage using Current in Neutral Wire (2-Phase 3-Wire US) calculator uses Maximum Voltage Underground AC = sqrt(2)*Power Transmitted/(cos(Phase Difference)*Current Underground AC) to calculate the Maximum Voltage Underground AC, The Maximum Voltage using Current in Neutral Wire (2-Phase 3-Wire US) formula is defined as the highest voltage rating for electrical devices and equipment that can be used with the voltage definition. Maximum Voltage Underground AC is denoted by V_m symbol.

How to calculate Maximum Voltage using Current in Neutral Wire (2-Phase 3-Wire US) using this online calculator? To use this online calculator for Maximum 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 Maximum Voltage using Current in Neutral Wire (2-Phase 3-Wire US) calculation can be explained with given input values -> 54.43311 = sqrt(2)*300/(cos(0.5235987755982)*9).

FAQ

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

The Maximum Voltage using Current in Neutral Wire (2-Phase 3-Wire US) formula is defined as the highest voltage rating for electrical devices and equipment that can be used with the voltage definition and is represented as V_m = sqrt(2)*P/(cos(Φ)*I) or Maximum Voltage Underground AC = 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 Maximum Voltage using Current in Neutral Wire (2-Phase 3-Wire US)?

The Maximum Voltage using Current in Neutral Wire (2-Phase 3-Wire US) formula is defined as the highest voltage rating for electrical devices and equipment that can be used with the voltage definition is calculated using Maximum Voltage Underground AC = sqrt(2)*Power Transmitted/(cos(Phase Difference)*Current Underground AC). To calculate Maximum 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 Maximum Voltage Underground AC?

In this formula, Maximum Voltage Underground AC uses Power Transmitted, Phase Difference & Current Underground AC. We can use 4 other way(s) to calculate the same, which is/are as follows -

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

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