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Power Transmitted is defined as the product of current and voltage phasor in a overhead ac line at the receiving end. Check FAQs
P=3⋅Ploss⋅V⋅(Vm⋅cos(Φ))27⋅ρ⋅(L)2
P - Power Transmitted?Ploss - Line Losses?V - Volume of Conductor?Vm - Maximum Voltage Overhead AC?Φ - Phase Difference?ρ - Resistivity?L - Length of Overhead AC Wire?

Power Transmitted using Volume of Conductor Material (3-Phase 4-Wire OS) Example

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Here is how the Power Transmitted using Volume of Conductor Material (3-Phase 4-Wire OS) equation looks like with Values.

Here is how the Power Transmitted using Volume of Conductor Material (3-Phase 4-Wire OS) equation looks like with Units.

Here is how the Power Transmitted using Volume of Conductor Material (3-Phase 4-Wire OS) equation looks like.

11731.7499Edit=3⋅8.23Edit⋅26Edit⋅(62Edit⋅cos(30Edit))27⋅1.7E-5Edit⋅(10.63Edit)2
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HomeIcon Home » Category Engineering » Category Electrical » Category Power System » fx Power Transmitted using Volume of Conductor Material (3-Phase 4-Wire OS)

Power Transmitted using Volume of Conductor Material (3-Phase 4-Wire OS) Solution

Follow our step by step solution on how to calculate Power Transmitted using Volume of Conductor Material (3-Phase 4-Wire OS)?

FIRST Step Consider the formula
P=3⋅Ploss⋅V⋅(Vm⋅cos(Φ))27⋅ρ⋅(L)2
Next Step Substitute values of Variables
∴ P=3⋅8.23W⋅26m³⋅(62V⋅cos(30°))27⋅1.7E-5Ω*m⋅(10.63m)2
Next Step Convert Units
∴ P=3⋅8.23W⋅26m³⋅(62V⋅cos(0.5236rad))27⋅1.7E-5Ω*m⋅(10.63m)2
Next Step Prepare to Evaluate
∴ P=3⋅8.23⋅26⋅(62⋅cos(0.5236))27⋅1.7E-5⋅(10.63)2
Next Step Evaluate
∴P=11731.7498703688W
LAST Step Rounding Answer
∴P=11731.7499W

Power Transmitted using Volume of Conductor Material (3-Phase 4-Wire OS) Formula Elements

Variables
Functions
Power Transmitted
Power Transmitted is defined as the product of current and voltage phasor in a overhead ac line at the receiving end.
Symbol: P
Measurement: PowerUnit: W
Note: Value should be greater than 0.
Formulas to find Power TransmittedOpen Variable
Line Losses
Line Losses is defined as the total losses occurring in an Overhead AC line when in use.
Symbol: Ploss
Measurement: PowerUnit: W
Note: Value can be positive or negative.
Formulas to find Line LossesOpen Variable
Volume of Conductor
Volume of Conductor is the total volume of the material used to make the conductor of an overhead ac line.
Symbol: V
Measurement: VolumeUnit: m³
Note: Value can be positive or negative.
Formulas to find Volume of ConductorOpen Variable
Maximum Voltage Overhead AC
Maximum Voltage Overhead AC is defined as the peak amplitude of the AC voltage supplied to the line or wire.
Symbol: Vm
Measurement: Electric PotentialUnit: V
Note: Value can be positive or negative.
Formulas to find Maximum Voltage Overhead ACOpen Variable
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 DifferenceOpen Variable
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 ResistivityOpen Variable
Length of Overhead AC Wire
Length of Overhead 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 Overhead AC WireOpen Variable
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(3-Phase 4-Wire OS)
P=(13)⋅Pt
​Go Power Transmitted using Area of X-Section(3-Phase 4-Wire OS)
P=3⋅A⋅(Vm2)⋅Ploss⋅((cos(Φ))2)ρ⋅2⋅L

Other formulas in Power and Power Factor category

​Go Power Factor using Volume of Conductor Material (3-Phase 4-Wire OS)
PF=(0.583)⋅KV
​Go Angle of PF using Volume of Conductor Material (3-Phase 4-Wire OS)
Φ=acos((0.583)⋅KV)

How to Evaluate Power Transmitted using Volume of Conductor Material (3-Phase 4-Wire OS)?

Power Transmitted using Volume of Conductor Material (3-Phase 4-Wire OS) evaluator uses Power Transmitted = sqrt(3*Line Losses*Volume of Conductor*(Maximum Voltage Overhead AC*cos(Phase Difference))^2/(7*Resistivity*(Length of Overhead AC Wire)^2)) to evaluate the Power Transmitted, The Power Transmitted using Volume of Conductor Material (3-phase 4-wire OS) 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 Volume of Conductor Material (3-Phase 4-Wire OS) using this online evaluator? To use this online evaluator for Power Transmitted using Volume of Conductor Material (3-Phase 4-Wire OS), enter Line Losses (Ploss), Volume of Conductor (V), Maximum Voltage Overhead AC (Vm), Phase Difference (Φ), Resistivity (ρ) & Length of Overhead AC Wire (L) and hit the calculate button.

FAQs on Power Transmitted using Volume of Conductor Material (3-Phase 4-Wire OS)

What is the formula to find Power Transmitted using Volume of Conductor Material (3-Phase 4-Wire OS)?
The formula of Power Transmitted using Volume of Conductor Material (3-Phase 4-Wire OS) is expressed as Power Transmitted = sqrt(3*Line Losses*Volume of Conductor*(Maximum Voltage Overhead AC*cos(Phase Difference))^2/(7*Resistivity*(Length of Overhead AC Wire)^2)). Here is an example- 11731.75 = sqrt(3*8.23*26*(62*cos(0.5235987755982))^2/(7*1.7E-05*(10.63)^2)).
How to calculate Power Transmitted using Volume of Conductor Material (3-Phase 4-Wire OS)?
With Line Losses (Ploss), Volume of Conductor (V), Maximum Voltage Overhead AC (Vm), Phase Difference (Φ), Resistivity (ρ) & Length of Overhead AC Wire (L) we can find Power Transmitted using Volume of Conductor Material (3-Phase 4-Wire OS) using the formula - Power Transmitted = sqrt(3*Line Losses*Volume of Conductor*(Maximum Voltage Overhead AC*cos(Phase Difference))^2/(7*Resistivity*(Length of Overhead AC Wire)^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=(1/3)*Power Transmitted per PhaseOpenImg
  • Power Transmitted=sqrt((3*Area of Overhead AC Wire*(Maximum Voltage Overhead AC^2)*Line Losses*((cos(Phase Difference))^2))/(Resistivity*2*Length of Overhead AC Wire))OpenImg
  • Power Transmitted=Current Overhead AC*Maximum Voltage Overhead AC*cos(Phase Difference)*(3/sqrt(2))OpenImg
Can the Power Transmitted using Volume of Conductor Material (3-Phase 4-Wire OS) be negative?
No, the Power Transmitted using Volume of Conductor Material (3-Phase 4-Wire OS), measured in Power cannot be negative.
Which unit is used to measure Power Transmitted using Volume of Conductor Material (3-Phase 4-Wire OS)?
Power Transmitted using Volume of Conductor Material (3-Phase 4-Wire OS) 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 Volume of Conductor Material (3-Phase 4-Wire OS) can be measured.
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