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Load Current(3-Phase 4-Wire OS) Formula

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

I = \frac{\sqrt{2} \cdot P}{3 \cdot V m \cdot \cos (Φ)}

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

Load Current(3-Phase 4-Wire OS) Example

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

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

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

7.8138 = \frac{\sqrt{2} \cdot 890}{3 \cdot 62 \cdot \cos (30)}

7.8138A = \frac{\sqrt{2} \cdot 890W}{3 \cdot 62V \cdot \cos (30°)}

7.8138 = \frac{\sqrt{2} \cdot 890}{3 \cdot 62 \cdot \cos (30)}

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Load Current(3-Phase 4-Wire OS) Solution

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

FIRST Step Consider the formula

I = \frac{\sqrt{2} \cdot P}{3 \cdot V m \cdot \cos (Φ)}

Next Step Substitute values of Variables

∴

I = \frac{\sqrt{2} \cdot 890W}{3 \cdot 62V \cdot \cos (30°)}

Next Step Convert Units

∴

I = \frac{\sqrt{2} \cdot 890W}{3 \cdot 62V \cdot \cos (0.5236rad)}

Next Step Prepare to Evaluate

∴

I = \frac{\sqrt{2} \cdot 890}{3 \cdot 62 \cdot \cos (0.5236)}

Next Step Evaluate

∴

I = 7.81378448414706A

LAST Step Rounding Answer

∴

I = 7.8138A

Load Current(3-Phase 4-Wire OS) Formula Elements

Variables

Functions

Current Overhead AC

Current Overhead 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 Overhead AC

Power Transmitted

Power Transmitted is defined as the product of current and voltage phasor in a overhead ac line at the receiving end.

Symbol: P

Measurement: PowerUnit: W

Note: Value should be greater than 0.

Formulas to find Power Transmitted

Maximum Voltage Overhead AC

Maximum Voltage Overhead 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 Overhead 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 in Current and Voltage category

Go Maximum Voltage(3-Phase 4-Wire OS)

V ac = (1) \cdot V m

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

V m = \sqrt{\frac{2 \cdot L \cdot ρ \cdot (P^{2})}{3 \cdot A \cdot P loss \cdot ({(\cos (Φ))}^{2})}}

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

V m = \sqrt{7 \cdot ρ \cdot \frac{{(P \cdot L)}^{2}}{3 \cdot P loss \cdot V \cdot {(\cos (Φ))}^{2}}}

Go RMS Voltage using Area of X-Section(3-Phase 4-Wire OS)

V rms = (\frac{P}{\cos (Φ)}) \cdot \sqrt{ρ \cdot \frac{L}{3 \cdot A}}

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

Load Current(3-Phase 4-Wire OS) evaluator uses Current Overhead AC = (sqrt(2)*Power Transmitted)/(3*Maximum Voltage Overhead AC*cos(Phase Difference)) to evaluate the Current Overhead AC, The Load Current(3-Phase 4-Wire OS) formula is defined as the current that flows into the load of the three-phase four-wire overhead system. Current Overhead AC is denoted by I symbol.

How to evaluate Load Current(3-Phase 4-Wire OS) using this online evaluator? To use this online evaluator for Load Current(3-Phase 4-Wire OS), enter Power Transmitted (P), Maximum Voltage Overhead AC (V_m) & Phase Difference (Φ) and hit the calculate button.

FAQs on Load Current(3-Phase 4-Wire OS)

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

The formula of Load Current(3-Phase 4-Wire OS) is expressed as Current Overhead AC = (sqrt(2)*Power Transmitted)/(3*Maximum Voltage Overhead AC*cos(Phase Difference)). Here is an example- 7.813784 = (sqrt(2)*890)/(3*62*cos(0.5235987755982)).

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

With Power Transmitted (P), Maximum Voltage Overhead AC (V_m) & Phase Difference (Φ) we can find Load Current(3-Phase 4-Wire OS) using the formula - Current Overhead AC = (sqrt(2)*Power Transmitted)/(3*Maximum Voltage Overhead AC*cos(Phase Difference)). This formula also uses Cosine (cos), Square Root (sqrt) function(s).

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

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

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

Load Current(3-Phase 4-Wire OS) 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 OS) can be measured.

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