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Load Current(Single Phase Two Wire OS) Formula

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

GoLoad Current using Line Losses (Single Phase Two 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}{V ac \cdot \cos (Φ)}

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

Load Current(Single Phase Two Wire OS) Example

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

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

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

8.0742 = \frac{\sqrt{2} \cdot 890}{180 \cdot \cos (30)}

8.0742A = \frac{\sqrt{2} \cdot 890W}{180V \cdot \cos (30°)}

8.0742 = \frac{\sqrt{2} \cdot 890}{180 \cdot \cos (30)}

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Load Current(Single Phase Two Wire OS) Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

I = \frac{\sqrt{2} \cdot 890W}{180V \cdot \cos (30°)}

Next Step Convert Units

∴

I = \frac{\sqrt{2} \cdot 890W}{180V \cdot \cos (0.5236rad)}

Next Step Prepare to Evaluate

∴

I = \frac{\sqrt{2} \cdot 890}{180 \cdot \cos (0.5236)}

Next Step Evaluate

∴

I = 8.07424396695196A

LAST Step Rounding Answer

∴

I = 8.0742A

Load Current(Single Phase Two 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

Voltage Overhead AC

Voltage Overhead AC is defined as the amount of work or force required to start the conduction of current within a line.

Symbol: V_ac

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find 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 Two Wire OS)

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

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

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

Other formulas in Current and Voltage category

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

V m = \sqrt{\frac{4 \cdot L \cdot ρ \cdot P^{2}}{A \cdot P loss \cdot {\cos (Φ)}^{2}}}

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

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

Go RMS Voltage using Load Current (Single Phase Two Wire OS)

V rms = \frac{P}{I \cdot \cos (Φ)}

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

Load Current(Single Phase Two Wire OS) evaluator uses Current Overhead AC = (sqrt(2)*Power Transmitted)/(Voltage Overhead AC*cos(Phase Difference)) to evaluate the Current Overhead AC, The Load Current(single Phase two 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 Two Wire OS) using this online evaluator? To use this online evaluator for Load Current(Single Phase Two Wire OS), enter Power Transmitted (P), Voltage Overhead AC (V_ac) & Phase Difference (Φ) and hit the calculate button.

FAQs on Load Current(Single Phase Two Wire OS)

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

The formula of Load Current(Single Phase Two Wire OS) is expressed as Current Overhead AC = (sqrt(2)*Power Transmitted)/(Voltage Overhead AC*cos(Phase Difference)). Here is an example- 8.074244 = (sqrt(2)*890)/(180*cos(0.5235987755982)).

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

With Power Transmitted (P), Voltage Overhead AC (V_ac) & Phase Difference (Φ) we can find Load Current(Single Phase Two Wire OS) using the formula - Current Overhead AC = (sqrt(2)*Power Transmitted)/(Voltage Overhead AC*cos(Phase Difference)). This formula also uses Cosine, Square Root Function 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)/(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 Two Wire OS) be negative?

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

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

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

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Load Current(Single Phase Two Wire OS) Formula

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

​GoLoad Current using Line Losses (Single Phase Two Wire OS) Formula

Load Current(Single Phase Two Wire OS) Example

Load Current(Single Phase Two Wire OS) Solution

Load Current(Single Phase Two Wire OS) Formula Elements

Other Formulas to find Current Overhead AC

Other formulas in Current and Voltage category

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

FAQs on Load Current(Single Phase Two Wire OS)

Variable Name

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

GoLoad Current using Line Losses (Single Phase Two Wire OS) Formula