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Power Transmitted using Line Losses (1-Phase 2-Wire Mid-Point Earthed) Formula

GoPower Transmitted using Load Current (1-Phase 2-Wire Mid-Point Earthed) Formula

GoPower Transmitted using Area of X-Section (1-Phase 2-Wire Mid-Point Earthed) 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{\frac{P loss}{2 \cdot R}} \cdot (V m \cdot \frac{\cos (Φ)}{\sqrt{2}})

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

Power Transmitted using Line Losses (1-Phase 2-Wire Mid-Point Earthed) Example

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Here is how the Power Transmitted using Line Losses (1-Phase 2-Wire Mid-Point Earthed) equation looks like with Values.

Here is how the Power Transmitted using Line Losses (1-Phase 2-Wire Mid-Point Earthed) equation looks like with Units.

Here is how the Power Transmitted using Line Losses (1-Phase 2-Wire Mid-Point Earthed) equation looks like.

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

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

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

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Power Transmitted using Line Losses (1-Phase 2-Wire Mid-Point Earthed) Solution

Follow our step by step solution on how to calculate Power Transmitted using Line Losses (1-Phase 2-Wire Mid-Point Earthed)?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Convert Units

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

P = 72.777829728565W

LAST Step Rounding Answer

∴

P = 72.7778W

Power Transmitted using Line Losses (1-Phase 2-Wire Mid-Point Earthed) 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

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

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)

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 Power Transmitted using Load Current (1-Phase 2-Wire Mid-Point Earthed)

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

Go Power Transmitted using Area of X-Section (1-Phase 2-Wire Mid-Point Earthed)

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

Other formulas in Power and Power Factor category

Go Power Factor using Load Current (1-Phase 2-Wire Mid-Point Earthed)

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

Go Power Factor using Line Losses (1-Phase 2-Wire Mid-Point Earthed)

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

Go Power Factor using Area of X-Section (1-Phase 2-Wire Mid-Point Earthed)

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

How to Evaluate Power Transmitted using Line Losses (1-Phase 2-Wire Mid-Point Earthed)?

Power Transmitted using Line Losses (1-Phase 2-Wire Mid-Point Earthed) evaluator uses Power Transmitted = sqrt(Line Losses/(2*Resistance Underground AC))*(Maximum Voltage Underground AC*cos(Phase Difference)/sqrt(2)) to evaluate the Power Transmitted, The Power Transmitted using Line Losses (1-phase 2-wire Mid-point Earthed) 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 2-Wire Mid-Point Earthed) using this online evaluator? To use this online evaluator for Power Transmitted using Line Losses (1-Phase 2-Wire Mid-Point Earthed), enter Line Losses (P_loss), Resistance Underground AC (R), Maximum Voltage Underground AC (V_m) & Phase Difference (Φ) and hit the calculate button.

FAQs on Power Transmitted using Line Losses (1-Phase 2-Wire Mid-Point Earthed)

What is the formula to find Power Transmitted using Line Losses (1-Phase 2-Wire Mid-Point Earthed)?

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

How to calculate Power Transmitted using Line Losses (1-Phase 2-Wire Mid-Point Earthed)?

With Line Losses (P_loss), Resistance Underground AC (R), Maximum Voltage Underground AC (V_m) & Phase Difference (Φ) we can find Power Transmitted using Line Losses (1-Phase 2-Wire Mid-Point Earthed) using the formula - Power Transmitted = sqrt(Line Losses/(2*Resistance Underground AC))*(Maximum Voltage Underground AC*cos(Phase Difference)/sqrt(2)). 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=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*cos(Phase Difference))^2/(4*Resistivity*Length of Underground AC Wire))

Can the Power Transmitted using Line Losses (1-Phase 2-Wire Mid-Point Earthed) be negative?

Yes, the Power Transmitted using Line Losses (1-Phase 2-Wire Mid-Point Earthed), measured in Power can be negative.

Which unit is used to measure Power Transmitted using Line Losses (1-Phase 2-Wire Mid-Point Earthed)?

Power Transmitted using Line Losses (1-Phase 2-Wire Mid-Point Earthed) 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 2-Wire Mid-Point Earthed) can be measured.

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Power Transmitted using Line Losses (1-Phase 2-Wire Mid-Point Earthed) Formula

​GoPower Transmitted using Load Current (1-Phase 2-Wire Mid-Point Earthed) Formula

​GoPower Transmitted using Area of X-Section (1-Phase 2-Wire Mid-Point Earthed) Formula

Power Transmitted using Line Losses (1-Phase 2-Wire Mid-Point Earthed) Example

Power Transmitted using Line Losses (1-Phase 2-Wire Mid-Point Earthed) Solution

Power Transmitted using Line Losses (1-Phase 2-Wire Mid-Point Earthed) 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 2-Wire Mid-Point Earthed)?

FAQs on Power Transmitted using Line Losses (1-Phase 2-Wire Mid-Point Earthed)

Variable Name

GoPower Transmitted using Load Current (1-Phase 2-Wire Mid-Point Earthed) Formula

GoPower Transmitted using Area of X-Section (1-Phase 2-Wire Mid-Point Earthed) Formula