Load Current (3 Phase 4 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.ⓘ Load Current (3 Phase 4 Wire US) [I]

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Formula

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Load Current (3 Phase 4 Wire US)

Formula

`"I" = (sqrt(6)*"P")/(3*"V"_{"m"}*cos("Φ"))`

Example

`"1.229751A"=(sqrt(6)*"300W")/(3*"230V"*cos("30°"))`

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Load Current (3 Phase 4 Wire US) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Current Underground AC = (sqrt(6)*Power Transmitted)/(3*Maximum Voltage Underground AC*cos(Phase Difference))
I = (sqrt(6)*P)/(3*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(6)*P)/(3*V_m*cos(Φ)) --> (sqrt(6)*300)/(3*230*cos(0.5235987755982))

Evaluating ... ...

I = 1.22975092380269

STEP 3: Convert Result to Output's Unit

1.22975092380269 Ampere --> No Conversion Required

FINAL ANSWER

1.22975092380269 ≈ 1.229751 Ampere <-- Current Underground AC

(Calculation completed in 00.004 seconds)

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Home » Engineering » Electrical » Power System » Underground AC Supply » 3-Φ 4-Wire System » Current & Voltage » Load Current (3 Phase 4 Wire US)

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Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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Osmania University (OU), Hyderabad

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< 7 Current & Voltage Calculators

Maximum Voltage using Area of X-Section (3 Phase 4 Wire US)

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

Maximum Voltage using Volume of Conductor Material (3 Phase 4 Wire US)

Go Maximum Voltage Underground AC = sqrt(7*Resistivity*(Power Transmitted*Length of Underground AC Wire)^2/(Line Losses*Volume Of Conductor*(cos(Phase Difference))^2))

Maximum Voltage using Line Losses (3 Phase 4 Wire US)

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

Load Current using Volume of Conductor Material (3 Phase 4 Wire US)

Go Current Underground AC = sqrt((Volume Of Conductor*Line Losses)/(3.5*3*Resistivity*(Length of Underground AC Wire^2)))

Maximum Voltage using Load Current (3 Phase 4 Wire US)

Go Maximum Voltage Underground AC = (sqrt(6)*Power Transmitted)/(3*cos(Phase Difference)*Current Underground AC)

Load Current (3 Phase 4 Wire US)

Go Current Underground AC = (sqrt(6)*Power Transmitted)/(3*Maximum Voltage Underground AC*cos(Phase Difference))

Load Current using Line Losses (3 Phase 4 Wire US)

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

Load Current (3 Phase 4 Wire US) Formula

Current Underground AC = (sqrt(6)*Power Transmitted)/(3*Maximum Voltage Underground AC*cos(Phase Difference))
I = (sqrt(6)*P)/(3*V_m*cos(Φ))

What is a load in a circuit?

An electrical load is an electrical component or portion of a circuit that consumes (active) electric power, such as electrical appliances and lights inside the home. The term may also refer to the power consumed by a circuit. This is opposed to a power source, such as a battery or generator, which produces power.

How to Calculate Load Current (3 Phase 4 Wire US)?

Load Current (3 Phase 4 Wire US) calculator uses Current Underground AC = (sqrt(6)*Power Transmitted)/(3*Maximum Voltage Underground AC*cos(Phase Difference)) to calculate the Current Underground AC, The Load Current (3 phase 4 wire US) formula is defined as the current that flows into the load of the three-phase four-wire underground system. Current Underground AC is denoted by I symbol.

How to calculate Load Current (3 Phase 4 Wire US) using this online calculator? To use this online calculator for Load Current (3 Phase 4 Wire US), enter Power Transmitted (P), Maximum Voltage Underground AC (V_m) & Phase Difference (Φ) and hit the calculate button. Here is how the Load Current (3 Phase 4 Wire US) calculation can be explained with given input values -> 1.229751 = (sqrt(6)*300)/(3*230*cos(0.5235987755982)).

FAQ

What is Load Current (3 Phase 4 Wire US)?

The Load Current (3 phase 4 wire US) formula is defined as the current that flows into the load of the three-phase four-wire underground system and is represented as I = (sqrt(6)*P)/(3*V_m*cos(Φ)) or Current Underground AC = (sqrt(6)*Power Transmitted)/(3*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 Load Current (3 Phase 4 Wire US)?

The Load Current (3 phase 4 wire US) formula is defined as the current that flows into the load of the three-phase four-wire underground system is calculated using Current Underground AC = (sqrt(6)*Power Transmitted)/(3*Maximum Voltage Underground AC*cos(Phase Difference)). To calculate Load Current (3 Phase 4 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 = sqrt(Line Losses/2*Resistance Underground AC)
Current Underground AC = sqrt((Volume Of Conductor*Line Losses)/(3.5*3*Resistivity*(Length of Underground AC Wire^2)))

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