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Power Transmitted using Line Losses (1 Phase 3 Wire US) Formula

GoTransmitted Power using Volume of Conductor Material(1 Phase 3 Wire US) Formula

GoTransmitted Power using Load Current (1 Phase 3 Wire US) Formula

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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. Check FAQs

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

P - Power Transmitted?P_loss - Line Losses?V_m - Maximum Voltage Underground AC?Φ - Phase Difference?R - Resistance Underground AC?

Power Transmitted using Line Losses (1 Phase 3 Wire US) Example

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Here is how the Power Transmitted using Line Losses (1 Phase 3 Wire US) equation looks like with Values.

Here is how the Power Transmitted using Line Losses (1 Phase 3 Wire US) equation looks like with Units.

Here is how the Power Transmitted using Line Losses (1 Phase 3 Wire US) equation looks like.

72.7778 = \sqrt{2.67 \cdot (230^{2}) \cdot \frac{{\cos (30)}^{2}}{4 \cdot 5}}

72.7778W = \sqrt{2.67W \cdot ({230V}^{2}) \cdot \frac{{\cos (30°)}^{2}}{4 \cdot 5Ω}}

72.7778 = \sqrt{2.67 \cdot (230^{2}) \cdot \frac{{\cos (30)}^{2}}{4 \cdot 5}}

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Power Transmitted using Line Losses (1 Phase 3 Wire US) Solution

Follow our step by step solution on how to calculate Power Transmitted using Line Losses (1 Phase 3 Wire US)?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P = \sqrt{2.67W \cdot ({230V}^{2}) \cdot \frac{{\cos (30°)}^{2}}{4 \cdot 5Ω}}

Next Step Convert Units

∴

P = \sqrt{2.67W \cdot ({230V}^{2}) \cdot \frac{{\cos (0.5236rad)}^{2}}{4 \cdot 5Ω}}

Next Step Prepare to Evaluate

∴

P = \sqrt{2.67 \cdot (230^{2}) \cdot \frac{{\cos (0.5236)}^{2}}{4 \cdot 5}}

Next Step Evaluate

∴

P = 72.777829728565W

LAST Step Rounding Answer

∴

P = 72.7778W

Power Transmitted using Line Losses (1 Phase 3 Wire US) Formula Elements

Variables

Functions

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

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

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

Resistance Underground AC

Resistance Underground AC is defined as the property of the wire or line that opposes the flow of current through it.

Symbol: R

Measurement: Electric ResistanceUnit: Ω

Note: Value can be positive or negative.

Formulas to find Resistance Underground AC

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 Power Transmitted

Go Transmitted Power using Volume of Conductor Material(1 Phase 3 Wire US)

P = \sqrt{P loss \cdot V \cdot \frac{{(V m \cdot \cos (Φ))}^{2}}{10 \cdot ρ \cdot {(L)}^{2}}}

Go Transmitted Power using Load Current (1 Phase 3 Wire US)

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

Go Power Transmitted using Area of X Section (1 Phase 3 Wire US)

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

Other formulas in Power and Power Factor category

Go Power Factor using Volume of Conductor Material(1 Phase 3 Wire US)

PF = \sqrt{10 \cdot ρ \cdot \frac{{(P \cdot L)}^{2}}{P loss \cdot V \cdot ({(V m)}^{2})}}

Go Power Factor Angle for Single Phase 3 Wire System

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

Go Power Factor using Load Current (1 Phase 3 Wire US)

PF = \sqrt{2} \cdot \frac{P}{V m \cdot I}

Go Power Factor using Area of X Section (1 Phase 3 Wire US)

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

How to Evaluate Power Transmitted using Line Losses (1 Phase 3 Wire US)?

Power Transmitted using Line Losses (1 Phase 3 Wire US) evaluator uses Power Transmitted = sqrt(Line Losses*(Maximum Voltage Underground AC^2)*(cos(Phase Difference)^2)/(4*Resistance Underground AC)) to evaluate the Power Transmitted, The Power Transmitted using Line Losses (1 phase 3 wire US) formula is defined as the bulk movement of electrical energy from a generating site, such as a power station or power plant, to an electrical substation where voltage is transformed and distributed to consumers or other substations. Power Transmitted is denoted by P symbol.

How to evaluate Power Transmitted using Line Losses (1 Phase 3 Wire US) using this online evaluator? To use this online evaluator for Power Transmitted using Line Losses (1 Phase 3 Wire US), enter Line Losses (P_loss), Maximum Voltage Underground AC (V_m), Phase Difference (Φ) & Resistance Underground AC (R) and hit the calculate button.

FAQs on Power Transmitted using Line Losses (1 Phase 3 Wire US)

What is the formula to find Power Transmitted using Line Losses (1 Phase 3 Wire US)?

The formula of Power Transmitted using Line Losses (1 Phase 3 Wire US) is expressed as Power Transmitted = sqrt(Line Losses*(Maximum Voltage Underground AC^2)*(cos(Phase Difference)^2)/(4*Resistance Underground AC)). Here is an example- 72.77783 = sqrt(2.67*(230^2)*(cos(0.5235987755982)^2)/(4*5)).

How to calculate Power Transmitted using Line Losses (1 Phase 3 Wire US)?

With Line Losses (P_loss), Maximum Voltage Underground AC (V_m), Phase Difference (Φ) & Resistance Underground AC (R) we can find Power Transmitted using Line Losses (1 Phase 3 Wire US) using the formula - Power Transmitted = sqrt(Line Losses*(Maximum Voltage Underground AC^2)*(cos(Phase Difference)^2)/(4*Resistance Underground AC)). This formula also uses Cosine (cos), Square Root (sqrt) function(s).

What are the other ways to Calculate Power Transmitted?

Here are the different ways to Calculate Power Transmitted-

Power Transmitted=sqrt(Line Losses*Volume Of Conductor*(Maximum Voltage Underground AC*cos(Phase Difference))^2/(10*Resistivity*(Length of Underground AC Wire)^2))
Power Transmitted=Current Underground AC*Maximum Voltage Underground AC*cos(Phase Difference)/sqrt(2)
Power Transmitted=sqrt(Area of Underground AC Wire*Line Losses*(Maximum Voltage Underground AC^2)*(cos(Phase Difference)^2)/(4*Resistivity*Length of Underground AC Wire))

Can the Power Transmitted using Line Losses (1 Phase 3 Wire US) be negative?

Yes, the Power Transmitted using Line Losses (1 Phase 3 Wire US), measured in Power can be negative.

Which unit is used to measure Power Transmitted using Line Losses (1 Phase 3 Wire US)?

Power Transmitted using Line Losses (1 Phase 3 Wire US) is usually measured using the Watt[W] for Power. Kilowatt[W], Milliwatt[W], Microwatt[W] are the few other units in which Power Transmitted using Line Losses (1 Phase 3 Wire US) can be measured.

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Power Transmitted using Line Losses (1 Phase 3 Wire US) Formula

​GoTransmitted Power using Volume of Conductor Material(1 Phase 3 Wire US) Formula

​GoTransmitted Power using Load Current (1 Phase 3 Wire US) Formula

Power Transmitted using Line Losses (1 Phase 3 Wire US) Example

Power Transmitted using Line Losses (1 Phase 3 Wire US) Solution

Power Transmitted using Line Losses (1 Phase 3 Wire US) Formula Elements

Other Formulas to find Power Transmitted

Other formulas in Power and Power Factor category

How to Evaluate Power Transmitted using Line Losses (1 Phase 3 Wire US)?

FAQs on Power Transmitted using Line Losses (1 Phase 3 Wire US)

Variable Name

GoTransmitted Power using Volume of Conductor Material(1 Phase 3 Wire US) Formula

GoTransmitted Power using Load Current (1 Phase 3 Wire US) Formula