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Load Current (3 Phase 4 Wire US) Formula

GoLoad Current using Line Losses (3 Phase 4 Wire US) Formula

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

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Current Underground AC is defined as the current flowing through the overhead ac supply wire. Check FAQs

I = \frac{\sqrt{6} \cdot P}{3 \cdot V m \cdot \cos (Φ)}

I - Current Underground AC?P - Power Transmitted?V_m - Maximum Voltage Underground AC?Φ - Phase Difference?

Load Current (3 Phase 4 Wire US) Example

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Here is how the Load Current (3 Phase 4 Wire US) equation looks like with Values.

Here is how the Load Current (3 Phase 4 Wire US) equation looks like with Units.

Here is how the Load Current (3 Phase 4 Wire US) equation looks like.

1.2298 = \frac{\sqrt{6} \cdot 300}{3 \cdot 230 \cdot \cos (30)}

1.2298A = \frac{\sqrt{6} \cdot 300W}{3 \cdot 230V \cdot \cos (30°)}

1.2298 = \frac{\sqrt{6} \cdot 300}{3 \cdot 230 \cdot \cos (30)}

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Load Current (3 Phase 4 Wire US) Solution

Follow our step by step solution on how to calculate Load Current (3 Phase 4 Wire US)?

FIRST Step Consider the formula

I = \frac{\sqrt{6} \cdot P}{3 \cdot V m \cdot \cos (Φ)}

Next Step Substitute values of Variables

∴

I = \frac{\sqrt{6} \cdot 300W}{3 \cdot 230V \cdot \cos (30°)}

Next Step Convert Units

∴

I = \frac{\sqrt{6} \cdot 300W}{3 \cdot 230V \cdot \cos (0.5236rad)}

Next Step Prepare to Evaluate

∴

I = \frac{\sqrt{6} \cdot 300}{3 \cdot 230 \cdot \cos (0.5236)}

Next Step Evaluate

∴

I = 1.22975092380269A

LAST Step Rounding Answer

∴

I = 1.2298A

Load Current (3 Phase 4 Wire US) Formula Elements

Variables

Functions

Current Underground AC

Current Underground AC is defined as the current flowing through the overhead ac supply wire.

Symbol: I

Measurement: Electric CurrentUnit: A

Note: Value can be positive or negative.

Formulas to find Current Underground AC

Power Transmitted

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.

Symbol: P

Measurement: PowerUnit: W

Note: Value can be positive or negative.

Formulas to find Power Transmitted

Maximum Voltage Underground AC

Maximum Voltage Underground AC is defined as the peak amplitude of the AC voltage supplied to the line or wire.

Symbol: V_m

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Maximum Voltage Underground AC

Phase Difference

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.

Symbol: Φ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Phase Difference

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: 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.

Syntax: sqrt(Number)

Other Formulas to find Current Underground AC

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

I = \sqrt{\frac{P loss}{2} \cdot R}

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

I = \sqrt{\frac{V \cdot P loss}{3.5 \cdot 3 \cdot ρ \cdot (L^{2})}}

Other formulas in Current and Voltage category

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

V m = \sqrt{7 \cdot ρ \cdot \frac{{(P \cdot L)}^{2}}{P loss \cdot V \cdot {(\cos (Φ))}^{2}}}

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

V m = \frac{\sqrt{6} \cdot P}{3 \cdot \cos (Φ) \cdot I}

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

V m = (\frac{P}{\cos (Φ)}) \cdot \sqrt{2 \cdot ρ \cdot \frac{L}{P loss \cdot A}}

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

V m = (\frac{2 \cdot P}{\cos (Φ)}) \cdot \sqrt{\frac{R}{P loss}}

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

Load Current (3 Phase 4 Wire US) evaluator uses Current Underground AC = (sqrt(6)*Power Transmitted)/(3*Maximum Voltage Underground AC*cos(Phase Difference)) to evaluate 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 evaluate Load Current (3 Phase 4 Wire US) using this online evaluator? To use this online evaluator 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.

FAQs on Load Current (3 Phase 4 Wire US)

What is the formula to find Load Current (3 Phase 4 Wire US)?

The formula of Load Current (3 Phase 4 Wire US) is expressed as Current Underground AC = (sqrt(6)*Power Transmitted)/(3*Maximum Voltage Underground AC*cos(Phase Difference)). Here is an example- 1.229751 = (sqrt(6)*300)/(3*230*cos(0.5235987755982)).

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

With Power Transmitted (P), Maximum Voltage Underground AC (V_m) & Phase Difference (Φ) we can find Load Current (3 Phase 4 Wire US) using the formula - Current Underground AC = (sqrt(6)*Power Transmitted)/(3*Maximum Voltage Underground AC*cos(Phase Difference)). This formula also uses Cosine (cos), Square Root (sqrt) function(s).

What are the other ways to Calculate Current Underground AC?

Here are the different ways to Calculate Current Underground AC-

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)))

Can the Load Current (3 Phase 4 Wire US) be negative?

Yes, the Load Current (3 Phase 4 Wire US), measured in Electric Current can be negative.

Which unit is used to measure Load Current (3 Phase 4 Wire US)?

Load Current (3 Phase 4 Wire US) is usually measured using the Ampere[A] for Electric Current. Milliampere[A], Microampere[A], Centiampere[A] are the few other units in which Load Current (3 Phase 4 Wire US) can be measured.

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Load Current (3 Phase 4 Wire US) Formula

​GoLoad Current using Line Losses (3 Phase 4 Wire US) Formula

​GoLoad Current using Volume of Conductor Material (3 Phase 4 Wire US) Formula

Load Current (3 Phase 4 Wire US) Example

Load Current (3 Phase 4 Wire US) Solution

Load Current (3 Phase 4 Wire US) Formula Elements

Other Formulas to find Current Underground AC

Other formulas in Current and Voltage category

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

FAQs on Load Current (3 Phase 4 Wire US)

Variable Name

GoLoad Current using Line Losses (3 Phase 4 Wire US) Formula

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