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Power Transmitted using Line Losses(DC 3-Wire) Formula

GoPower Transmitted using Load Current(DC 3-Wire) Formula

GoPower Transmitted using Volume of Conductor Material (DC 3-Wire) Formula

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Power Transmitted is defined as the product of current and voltage phasor in a overhead dc line at the receiving end. Check FAQs

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

P - Power Transmitted?V_m - Maximum Voltage Overhead DC?A - Area of Overhead DC Wire?P_loss - Line Losses?L - Length of Wire DC?ρ - Resistivity?

Power Transmitted using Line Losses(DC 3-Wire) Example

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Here is how the Power Transmitted using Line Losses(DC 3-Wire) equation looks like with Values.

Here is how the Power Transmitted using Line Losses(DC 3-Wire) equation looks like with Units.

Here is how the Power Transmitted using Line Losses(DC 3-Wire) equation looks like.

4022.4471 = 60.26 \cdot \sqrt{2 \cdot 0.65 \cdot \frac{0.74}{12.7 \cdot 1.7E-5}}

4022.4471W = 60.26V \cdot \sqrt{2 \cdot 0.65m² \cdot \frac{0.74W}{12.7m \cdot 1.7E-5Ω*m}}

4022.4471 = 60.26 \cdot \sqrt{2 \cdot 0.65 \cdot \frac{0.74}{12.7 \cdot 1.7E-5}}

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Power Transmitted using Line Losses(DC 3-Wire) Solution

Follow our step by step solution on how to calculate Power Transmitted using Line Losses(DC 3-Wire)?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P = 60.26V \cdot \sqrt{2 \cdot 0.65m² \cdot \frac{0.74W}{12.7m \cdot 1.7E-5Ω*m}}

Next Step Prepare to Evaluate

∴

P = 60.26 \cdot \sqrt{2 \cdot 0.65 \cdot \frac{0.74}{12.7 \cdot 1.7E-5}}

Next Step Evaluate

∴

P = 4022.4471080896W

LAST Step Rounding Answer

∴

P = 4022.4471W

Power Transmitted using Line Losses(DC 3-Wire) Formula Elements

Variables

Functions

Power Transmitted

Power Transmitted is defined as the product of current and voltage phasor in a overhead dc line at the receiving end.

Symbol: P

Measurement: PowerUnit: W

Note: Value should be greater than 0.

Formulas to find Power Transmitted

Maximum Voltage Overhead DC

Maximum Voltage Overhead DC 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 Overhead DC

Area of Overhead DC Wire

Area of Overhead DC Wire is defined as the cross-sectional area of the wire of an overhead DC supply system.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Overhead DC Wire

Line Losses

Line Losses is defined as the total losses occurring in an Overhead DC line when in use.

Symbol: P_loss

Measurement: PowerUnit: W

Note: Value can be positive or negative.

Formulas to find Line Losses

Length of Wire DC

Length of Wire DC 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 Wire DC

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

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(DC 3-Wire)

P = 2 \cdot I \cdot V m

Go Power Transmitted using Volume of Conductor Material (DC 3-Wire)

P = V m \cdot \sqrt{2 \cdot A \cdot P loss \cdot \frac{V}{(2.5) \cdot (L^{2}) \cdot ρ}}

Go Power Transmitted using Constant(DC 3-Wire)

P = V m \cdot \sqrt{2 \cdot A \cdot \frac{K}{(2.5) \cdot (L^{2}) \cdot ρ}}

Go Power Transmitted using Area of X-Section(DC 3-Wire)

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

Other formulas in Power and Power Factor category

Go Power Transmitted per Phase (DC 3-Wire)

P t = P \cdot (0.5)

How to Evaluate Power Transmitted using Line Losses(DC 3-Wire)?

Power Transmitted using Line Losses(DC 3-Wire) evaluator uses Power Transmitted = Maximum Voltage Overhead DC*sqrt(2*Area of Overhead DC Wire*Line Losses/(Length of Wire DC*Resistivity)) to evaluate the Power Transmitted, The Power Transmitted using Line Losses(DC 3-wire) formula is defined as proportional to its effective range. The higher the transmit power, the farther a signal can travel, and the more obstructions it can effectively penetrate. Power Transmitted is denoted by P symbol.

How to evaluate Power Transmitted using Line Losses(DC 3-Wire) using this online evaluator? To use this online evaluator for Power Transmitted using Line Losses(DC 3-Wire), enter Maximum Voltage Overhead DC (V_m), Area of Overhead DC Wire (A), Line Losses (P_loss), Length of Wire DC (L) & Resistivity (ρ) and hit the calculate button.

FAQs on Power Transmitted using Line Losses(DC 3-Wire)

What is the formula to find Power Transmitted using Line Losses(DC 3-Wire)?

The formula of Power Transmitted using Line Losses(DC 3-Wire) is expressed as Power Transmitted = Maximum Voltage Overhead DC*sqrt(2*Area of Overhead DC Wire*Line Losses/(Length of Wire DC*Resistivity)). Here is an example- 4022.447 = 60.26*sqrt(2*0.65*0.74/(12.7*1.7E-05)).

How to calculate Power Transmitted using Line Losses(DC 3-Wire)?

With Maximum Voltage Overhead DC (V_m), Area of Overhead DC Wire (A), Line Losses (P_loss), Length of Wire DC (L) & Resistivity (ρ) we can find Power Transmitted using Line Losses(DC 3-Wire) using the formula - Power Transmitted = Maximum Voltage Overhead DC*sqrt(2*Area of Overhead DC Wire*Line Losses/(Length of Wire DC*Resistivity)). This formula also uses Square Root Function function(s).

What are the other ways to Calculate Power Transmitted?

Here are the different ways to Calculate Power Transmitted-

Power Transmitted=2*Current Overhead DC*Maximum Voltage Overhead DC
Power Transmitted=Maximum Voltage Overhead DC*sqrt(2*Area of Overhead DC Wire*Line Losses*Volume of Conductor/((2.5)*(Length of Wire DC^2)*Resistivity))
Power Transmitted=Maximum Voltage Overhead DC*sqrt(2*Area of Overhead DC Wire*Constant Overhead DC/((2.5)*(Length of Wire DC^2)*Resistivity))

Can the Power Transmitted using Line Losses(DC 3-Wire) be negative?

No, the Power Transmitted using Line Losses(DC 3-Wire), measured in Power cannot be negative.

Which unit is used to measure Power Transmitted using Line Losses(DC 3-Wire)?

Power Transmitted using Line Losses(DC 3-Wire) 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(DC 3-Wire) can be measured.

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Power Transmitted using Line Losses(DC 3-Wire) Formula

​GoPower Transmitted using Load Current(DC 3-Wire) Formula

​GoPower Transmitted using Volume of Conductor Material (DC 3-Wire) Formula

Power Transmitted using Line Losses(DC 3-Wire) Example

Power Transmitted using Line Losses(DC 3-Wire) Solution

Power Transmitted using Line Losses(DC 3-Wire) Formula Elements

Other Formulas to find Power Transmitted

Other formulas in Power and Power Factor category

How to Evaluate Power Transmitted using Line Losses(DC 3-Wire)?

FAQs on Power Transmitted using Line Losses(DC 3-Wire)

Variable Name

GoPower Transmitted using Load Current(DC 3-Wire) Formula

GoPower Transmitted using Volume of Conductor Material (DC 3-Wire) Formula