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Line Losses using Area of X-Section (3 Phase 4 Wire US) Formula

GoLine Losses using Volume of Conductor Material (3 Phase 4 Wire US) Formula

GoLine Losses using Load Current (3 Phase 4 Wire US) Formula

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Line Losses is defined as the total losses occurring in an Underground AC line when in use. Check FAQs

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

P_loss - Line Losses?ρ - Resistivity?L - Length of Underground AC Wire?P - Power Transmitted?A - Area of Underground AC Wire?V_m - Maximum Voltage Underground AC?Φ - Phase Difference?

Line Losses using Area of X-Section (3 Phase 4 Wire US) Example

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Here is how the Line Losses using Area of X-Section (3 Phase 4 Wire US) equation looks like with Values.

Here is how the Line Losses using Area of X-Section (3 Phase 4 Wire US) equation looks like with Units.

Here is how the Line Losses using Area of X-Section (3 Phase 4 Wire US) equation looks like.

0.0014 = 2 \cdot 1.7E-5 \cdot 24 \cdot \frac{300^{2}}{1.28 \cdot (230^{2}) \cdot ({\cos (30)}^{2})}

0.0014W = 2 \cdot 1.7E-5Ω*m \cdot 24m \cdot \frac{{300W}^{2}}{1.28m² \cdot ({230V}^{2}) \cdot ({\cos (30°)}^{2})}

0.0014 = 2 \cdot 1.7E-5 \cdot 24 \cdot \frac{300^{2}}{1.28 \cdot (230^{2}) \cdot ({\cos (30)}^{2})}

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Line Losses using Area of X-Section (3 Phase 4 Wire US) Solution

Follow our step by step solution on how to calculate Line Losses using Area of X-Section (3 Phase 4 Wire US)?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P loss = 2 \cdot 1.7E-5Ω*m \cdot 24m \cdot \frac{{300W}^{2}}{1.28m² \cdot ({230V}^{2}) \cdot ({\cos (30°)}^{2})}

Next Step Convert Units

∴

P loss = 2 \cdot 1.7E-5Ω*m \cdot 24m \cdot \frac{{300W}^{2}}{1.28m² \cdot ({230V}^{2}) \cdot ({\cos (0.5236rad)}^{2})}

Next Step Prepare to Evaluate

∴

P loss = 2 \cdot 1.7E-5 \cdot 24 \cdot \frac{300^{2}}{1.28 \cdot (230^{2}) \cdot ({\cos (0.5236)}^{2})}

Next Step Evaluate

∴

P loss = 0.0014461247637051W

LAST Step Rounding Answer

∴

P loss = 0.0014W

Line Losses using Area of X-Section (3 Phase 4 Wire US) Formula Elements

Variables

Functions

Line Losses

Line Losses is defined as the total losses occurring in an Underground AC line when in use.

Symbol: P_loss

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 Underground AC Wire

Length of Underground AC Wire is the total length of the wire from one end to other end.

Symbol: L

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Underground AC Wire

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

Area of Underground AC Wire

Area of Underground AC Wire is defined as the cross-sectional area of the wire of an AC supply system.

Symbol: A

Measurement: AreaUnit: m²

Note: Value can be positive or negative.

Formulas to find Area of Underground AC Wire

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)

Other Formulas to find Line Losses

Go Line Losses using Volume of Conductor Material (3 Phase 4 Wire US)

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

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

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

Other formulas in Wire Parameters category

Go Area of X-Section using Volume of Conductor Material (3 Phase 4 Wire US)

A = \frac{V}{(3.5) \cdot L}

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

K = V \cdot \frac{{(\cos (Φ))}^{2}}{1.75}

How to Evaluate Line Losses using Area of X-Section (3 Phase 4 Wire US)?

Line Losses using Area of X-Section (3 Phase 4 Wire US) evaluator uses Line Losses = 2*Resistivity*Length of Underground AC Wire*(Power Transmitted^2)/(Area of Underground AC Wire*(Maximum Voltage Underground AC^2)*(cos(Phase Difference)^2)) to evaluate the Line Losses, The Line Losses using Area of X-Section (3 phase 4 wire 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_loss symbol.

How to evaluate Line Losses using Area of X-Section (3 Phase 4 Wire US) using this online evaluator? To use this online evaluator for Line Losses using Area of X-Section (3 Phase 4 Wire US), enter Resistivity (ρ), Length of Underground AC Wire (L), Power Transmitted (P), Area of Underground AC Wire (A), Maximum Voltage Underground AC (V_m) & Phase Difference (Φ) and hit the calculate button.

FAQs on Line Losses using Area of X-Section (3 Phase 4 Wire US)

What is the formula to find Line Losses using Area of X-Section (3 Phase 4 Wire US)?

The formula of Line Losses using Area of X-Section (3 Phase 4 Wire US) is expressed as Line Losses = 2*Resistivity*Length of Underground AC Wire*(Power Transmitted^2)/(Area of Underground AC Wire*(Maximum Voltage Underground AC^2)*(cos(Phase Difference)^2)). Here is an example- 0.001446 = 2*1.7E-05*24*(300^2)/(1.28*(230^2)*(cos(0.5235987755982)^2)).

How to calculate Line Losses using Area of X-Section (3 Phase 4 Wire US)?

With Resistivity (ρ), Length of Underground AC Wire (L), Power Transmitted (P), Area of Underground AC Wire (A), Maximum Voltage Underground AC (V_m) & Phase Difference (Φ) we can find Line Losses using Area of X-Section (3 Phase 4 Wire US) using the formula - Line Losses = 2*Resistivity*Length of Underground AC Wire*(Power Transmitted^2)/(Area of Underground AC Wire*(Maximum Voltage Underground AC^2)*(cos(Phase Difference)^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=7*(Power Transmitted)^2*Resistivity*(Length of Underground AC Wire)^2/((Maximum Voltage Underground AC*cos(Phase Difference))^2*Volume Of Conductor)
Line Losses=3*(Current Underground AC^2)*Resistivity*Length of Underground AC Wire/Area of Underground AC Wire
Line Losses=2*Resistivity*Length of Underground AC Wire*(Power Transmitted^2)/(Area of Underground AC Wire*(Maximum Voltage Underground AC^2*cos(Phase Difference)^2))

Can the Line Losses using Area of X-Section (3 Phase 4 Wire US) be negative?

Yes, the Line Losses using Area of X-Section (3 Phase 4 Wire US), measured in Power can be negative.

Which unit is used to measure Line Losses using Area of X-Section (3 Phase 4 Wire US)?

Line Losses using Area of X-Section (3 Phase 4 Wire 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 (3 Phase 4 Wire US) can be measured.

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Line Losses using Area of X-Section (3 Phase 4 Wire US) Formula

​GoLine Losses using Volume of Conductor Material (3 Phase 4 Wire US) Formula

​GoLine Losses using Load Current (3 Phase 4 Wire US) Formula

Line Losses using Area of X-Section (3 Phase 4 Wire US) Example

Line Losses using Area of X-Section (3 Phase 4 Wire US) Solution

Line Losses using Area of X-Section (3 Phase 4 Wire 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 (3 Phase 4 Wire US)?

FAQs on Line Losses using Area of X-Section (3 Phase 4 Wire US)

Variable Name

GoLine Losses using Volume of Conductor Material (3 Phase 4 Wire US) Formula

GoLine Losses using Load Current (3 Phase 4 Wire US) Formula