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Load Current(Single-Phase Three-Wire OS) Formula

GoLoad Current using Area of X-Section(Single-Phase Three-Wire OS) Formula

GoLoad Current using Line Losses (Single-Phase Three-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{P}{V m \cdot \cos (Φ) \cdot \sqrt{2}}

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

Load Current(Single-Phase Three-Wire OS) Example

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

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

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

11.7207 = \frac{890}{62 \cdot \cos (30) \cdot \sqrt{2}}

11.7207A = \frac{890W}{62V \cdot \cos (30°) \cdot \sqrt{2}}

11.7207 = \frac{890}{62 \cdot \cos (30) \cdot \sqrt{2}}

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Load Current(Single-Phase Three-Wire OS) Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Convert Units

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

I = 11.7206767262206A

LAST Step Rounding Answer

∴

I = 11.7207A

Load Current(Single-Phase Three-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 to find Current Overhead AC

Go Load Current using Area of X-Section(Single-Phase Three-Wire OS)

I = \sqrt{A \cdot \frac{P loss}{2 \cdot ρ \cdot L}}

Go Load Current using Line Losses (Single-Phase Three-Wire OS)

I = \sqrt{P loss \cdot \frac{A}{2 \cdot ρ \cdot L}}

Other formulas in Current and Voltage category

Go Maximum Voltage(Single-Phase Three-Wire OS)

V m = (2) \cdot V ac

Go Maximum Voltage using Area of X-Section(Single-Phase Three-Wire OS)

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

Go RMS Voltage using Area of X-Section(Single-Phase Three-Wire OS)

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

Go Maximum Voltage using Load Current (Single-Phase Three-Wire OS)

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

How to Evaluate Load Current(Single-Phase Three-Wire OS)?

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

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

FAQs on Load Current(Single-Phase Three-Wire OS)

What is the formula to find Load Current(Single-Phase Three-Wire OS)?

The formula of Load Current(Single-Phase Three-Wire OS) is expressed as Current Overhead AC = Power Transmitted/(Maximum Voltage Overhead AC*cos(Phase Difference)*sqrt(2)). Here is an example- 11.72068 = 890/(62*cos(0.5235987755982)*sqrt(2)).

How to calculate Load Current(Single-Phase Three-Wire OS)?

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

What are the other ways to Calculate Current Overhead AC?

Here are the different ways to Calculate Current Overhead AC-

Current Overhead AC=sqrt(Area of Overhead AC Wire*Line Losses/(2*Resistivity*Length of Overhead AC Wire))
Current Overhead AC=sqrt(Line Losses*Area of Overhead AC Wire/(2*Resistivity*Length of Overhead AC Wire))

Can the Load Current(Single-Phase Three-Wire OS) be negative?

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

Which unit is used to measure Load Current(Single-Phase Three-Wire OS)?

Load Current(Single-Phase Three-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(Single-Phase Three-Wire OS) can be measured.

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