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Line Losses using Area of X-Section (2-Wire Mid-Point Earthed DC US) Formula

GoLine Losses using Volume of Conductor Material (2-Wire Mid-Point DC US) Formula

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Line Losses is defined as the losses that are produced in the line. Check FAQs

P line = \frac{2 \cdot ρ \cdot l \cdot (P^{2})}{A \cdot ({V m}^{2} \cdot {\cos (θ)}^{2})}

P_line - Line Losses?ρ - Resistivity?l - Length of Wire DC?P - Power Transmitted?A - Area of underground dc wire?V_m - Maximum Voltage?θ - Theta?

Line Losses using Area of X-Section (2-Wire Mid-Point Earthed DC US) Example

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Here is how the Line Losses using Area of X-Section (2-Wire Mid-Point Earthed DC US) equation looks like with Values.

Here is how the Line Losses using Area of X-Section (2-Wire Mid-Point Earthed DC US) equation looks like with Units.

Here is how the Line Losses using Area of X-Section (2-Wire Mid-Point Earthed DC US) equation looks like.

0.0113 = \frac{2 \cdot 1.7E-5 \cdot 3.2 \cdot (300^{2})}{0.32 \cdot (60^{2} \cdot {\cos (30)}^{2})}

0.0113W = \frac{2 \cdot 1.7E-5Ω*m \cdot 3.2m \cdot ({300W}^{2})}{0.32m² \cdot ({60V}^{2} \cdot {\cos (30°)}^{2})}

0.0113 = \frac{2 \cdot 1.7E-5 \cdot 3.2 \cdot (300^{2})}{0.32 \cdot (60^{2} \cdot {\cos (30)}^{2})}

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Line Losses using Area of X-Section (2-Wire Mid-Point Earthed DC US) Solution

Follow our step by step solution on how to calculate Line Losses using Area of X-Section (2-Wire Mid-Point Earthed DC US)?

FIRST Step Consider the formula

P line = \frac{2 \cdot ρ \cdot l \cdot (P^{2})}{A \cdot ({V m}^{2} \cdot {\cos (θ)}^{2})}

Next Step Substitute values of Variables

∴

P line = \frac{2 \cdot 1.7E-5Ω*m \cdot 3.2m \cdot ({300W}^{2})}{0.32m² \cdot ({60V}^{2} \cdot {\cos (30°)}^{2})}

Next Step Convert Units

∴

P line = \frac{2 \cdot 1.7E-5Ω*m \cdot 3.2m \cdot ({300W}^{2})}{0.32m² \cdot ({60V}^{2} \cdot {\cos (0.5236rad)}^{2})}

Next Step Prepare to Evaluate

∴

P line = \frac{2 \cdot 1.7E-5 \cdot 3.2 \cdot (300^{2})}{0.32 \cdot (60^{2} \cdot {\cos (0.5236)}^{2})}

Next Step Evaluate

∴

P line = 0.0113333333333333W

LAST Step Rounding Answer

∴

P line = 0.0113W

Line Losses using Area of X-Section (2-Wire Mid-Point Earthed DC US) Formula Elements

Variables

Functions

Line Losses

Line Losses is defined as the losses that are produced in the line.

Symbol: P_line

Measurement: PowerUnit: W

Note: Value can be positive or negative.

Formulas to find Line Losses

Resistivity

Resistivity is the measure of how strongly a material opposes the flow of current through them.

Symbol: ρ

Measurement: Electric ResistivityUnit: Ω*m

Note: Value can be positive or negative.

Formulas to find Resistivity

Length of Wire DC

Length of Wire DC is the measurement or extent of something from end to end.

Symbol: l

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Wire DC

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 should be greater than 0.

Formulas to find Power Transmitted

Area of underground dc wire

The Area of underground dc wire is the amount of two-dimensional space taken up by an object.

Symbol: A

Measurement: AreaUnit: m²

Note: Value can be positive or negative.

Formulas to find Area of underground dc wire

Maximum Voltage

Maximum Voltage the highest voltage rating for electrical devices.

Symbol: V_m

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Maximum Voltage

Theta

Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.

Symbol: θ

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Theta

cos

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

Syntax: cos(Angle)

Other Formulas to find Line Losses

Go Line Losses using Volume of Conductor Material (2-Wire Mid-Point DC US)

P line = 4 \cdot ρ \cdot \frac{P^{2} \cdot l^{2}}{{V m}^{2} \cdot V}

Other formulas in Wire Parameters category

Go Length using Area of X-Section (2-Wire Mid-Point Earthed DC US)

l = A \cdot P line \cdot \frac{{V m}^{2}}{2 \cdot (P^{2}) \cdot ρ}

Go Length using Volume of Conductor Material (2-Wire Mid-Point DC US)

l = \sqrt{\frac{V \cdot P line}{4 \cdot ({C 1}^{2}) \cdot (ρ)}}

How to Evaluate Line Losses using Area of X-Section (2-Wire Mid-Point Earthed DC US)?

Line Losses using Area of X-Section (2-Wire Mid-Point Earthed DC US) evaluator uses Line Losses = (2*Resistivity*Length of Wire DC*(Power Transmitted^2))/(Area of underground dc wire*(Maximum Voltage^2*cos(Theta)^2)) to evaluate the Line Losses, The Line Losses using Area of X-Section (2-wire Mid-point earthed DC US) formula is defined as the loss of electric energy due to the heating of line wires by the current. Line Losses is denoted by P_line symbol.

How to evaluate Line Losses using Area of X-Section (2-Wire Mid-Point Earthed DC US) using this online evaluator? To use this online evaluator for Line Losses using Area of X-Section (2-Wire Mid-Point Earthed DC US), enter Resistivity (ρ), Length of Wire DC (l), Power Transmitted (P), Area of underground dc wire (A), Maximum Voltage (V_m) & Theta (θ) and hit the calculate button.

FAQs on Line Losses using Area of X-Section (2-Wire Mid-Point Earthed DC US)

What is the formula to find Line Losses using Area of X-Section (2-Wire Mid-Point Earthed DC US)?

The formula of Line Losses using Area of X-Section (2-Wire Mid-Point Earthed DC US) is expressed as Line Losses = (2*Resistivity*Length of Wire DC*(Power Transmitted^2))/(Area of underground dc wire*(Maximum Voltage^2*cos(Theta)^2)). Here is an example- 0.011333 = (2*1.7E-05*3.2*(300^2))/(0.32*(60^2*cos(0.5235987755982)^2)).

How to calculate Line Losses using Area of X-Section (2-Wire Mid-Point Earthed DC US)?

With Resistivity (ρ), Length of Wire DC (l), Power Transmitted (P), Area of underground dc wire (A), Maximum Voltage (V_m) & Theta (θ) we can find Line Losses using Area of X-Section (2-Wire Mid-Point Earthed DC US) using the formula - Line Losses = (2*Resistivity*Length of Wire DC*(Power Transmitted^2))/(Area of underground dc wire*(Maximum Voltage^2*cos(Theta)^2)). This formula also uses Cosine (cos) function(s).

What are the other ways to Calculate Line Losses?

Here are the different ways to Calculate Line Losses-

Line Losses=4*Resistivity*(Power Transmitted^2*Length of Wire DC^2)/(Maximum Voltage^2*Volume Of Conductor)

Can the Line Losses using Area of X-Section (2-Wire Mid-Point Earthed DC US) be negative?

Yes, the Line Losses using Area of X-Section (2-Wire Mid-Point Earthed DC US), measured in Power can be negative.

Which unit is used to measure Line Losses using Area of X-Section (2-Wire Mid-Point Earthed DC US)?

Line Losses using Area of X-Section (2-Wire Mid-Point Earthed DC US) is usually measured using the Watt[W] for Power. Kilowatt[W], Milliwatt[W], Microwatt[W] are the few other units in which Line Losses using Area of X-Section (2-Wire Mid-Point Earthed DC US) can be measured.

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Line Losses using Area of X-Section (2-Wire Mid-Point Earthed DC US) Formula

​GoLine Losses using Volume of Conductor Material (2-Wire Mid-Point DC US) Formula

Line Losses using Area of X-Section (2-Wire Mid-Point Earthed DC US) Example

Line Losses using Area of X-Section (2-Wire Mid-Point Earthed DC US) Solution

Line Losses using Area of X-Section (2-Wire Mid-Point Earthed DC US) Formula Elements

Other Formulas to find Line Losses

Other formulas in Wire Parameters category

How to Evaluate Line Losses using Area of X-Section (2-Wire Mid-Point Earthed DC US)?

FAQs on Line Losses using Area of X-Section (2-Wire Mid-Point Earthed DC US)

Variable Name

GoLine Losses using Volume of Conductor Material (2-Wire Mid-Point DC US) Formula