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

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Formula

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Current in Neutral Wire (2-Phase 3-Wire US)

Formula

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

Example

`"2.129991A"=sqrt(2)*"300W"/("230V"*cos("30°"))`

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

STEP 0: Pre-Calculation Summary

Formula Used

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

Current Underground AC - (Measured in Ampere) - Current Underground AC is defined as the current flowing through the overhead ac supply 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.
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.
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
Maximum Voltage Underground AC: 230 Volt --> 230 Volt No Conversion Required
Phase Difference: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I = sqrt(2)*P/(V_m*cos(Φ)) --> sqrt(2)*300/(230*cos(0.5235987755982))

Evaluating ... ...

I = 2.12999108068102

STEP 3: Convert Result to Output's Unit

2.12999108068102 Ampere --> No Conversion Required

FINAL ANSWER

2.12999108068102 ≈ 2.129991 Ampere <-- Current Underground AC

(Calculation completed in 00.004 seconds)

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Home » Engineering » Electrical » Power System » Underground AC Supply » 2-Φ 3-Wire System » Current & Voltage » Current in Neutral Wire (2-Phase 3-Wire US)

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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

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

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

Does the neutral wire carry current?

Neutral wire definitely carries current. It is used in AC current for return path or you can say to complete the circuit.

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

Current in Neutral Wire (2-Phase 3-Wire US) calculator uses Current Underground AC = sqrt(2)*Power Transmitted/(Maximum Voltage Underground AC*cos(Phase Difference)) to calculate the Current Underground AC, The Current in Neutral Wire (2-Phase 3-Wire US) formula is defined as the current that flows into the load of the two-phase three-wire underground system. Current Underground AC is denoted by I symbol.

How to calculate Current in Neutral Wire (2-Phase 3-Wire US) using this online calculator? To use this online calculator for Current in Neutral Wire (2-Phase 3-Wire US), enter Power Transmitted (P), Maximum Voltage Underground AC (V_m) & Phase Difference (Φ) and hit the calculate button. Here is how the Current in Neutral Wire (2-Phase 3-Wire US) calculation can be explained with given input values -> 2.129991 = sqrt(2)*300/(230*cos(0.5235987755982)).

FAQ

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

The Current in Neutral Wire (2-Phase 3-Wire US) formula is defined as the current that flows into the load of the two-phase three-wire underground system and is represented as I = sqrt(2)*P/(V_m*cos(Φ)) or Current Underground AC = sqrt(2)*Power Transmitted/(Maximum Voltage 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, Maximum Voltage Underground AC is defined as the peak amplitude of the AC voltage supplied to the line or 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 Current in Neutral Wire (2-Phase 3-Wire US)?

The Current in Neutral Wire (2-Phase 3-Wire US) formula is defined as the current that flows into the load of the two-phase three-wire underground system is calculated using Current Underground AC = sqrt(2)*Power Transmitted/(Maximum Voltage Underground AC*cos(Phase Difference)). To calculate Current in Neutral Wire (2-Phase 3-Wire US), you need Power Transmitted (P), Maximum Voltage Underground AC (V_m) & Phase Difference (Φ). With our tool, you need to enter the respective value for Power Transmitted, Maximum Voltage 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 Current Underground AC?

In this formula, Current Underground AC uses Power Transmitted, Maximum Voltage Underground AC & Phase Difference. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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