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Resistivity is the measure of how strongly a material opposes the flow of current through them. Check FAQs
ρ=PlossA(Vmcos(Φ))2(P)2L
ρ - Resistivity?Ploss - Line Losses?A - Area of Overhead AC Wire?Vm - Maximum Voltage Overhead AC?Φ - Phase Difference?P - Power Transmitted?L - Length of Overhead AC Wire?

Resistivity using Line Losses (Single-Phase Three-Wire OS) Example

With values
With units
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Here is how the Resistivity using Line Losses (Single-Phase Three-Wire OS) equation looks like with Values.

Here is how the Resistivity using Line Losses (Single-Phase Three-Wire OS) equation looks like with Units.

Here is how the Resistivity using Line Losses (Single-Phase Three-Wire OS) equation looks like.

0.0022Edit=8.23Edit0.79Edit(62Editcos(30Edit))2(890Edit)210.63Edit
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Resistivity using Line Losses (Single-Phase Three-Wire OS) Solution

Follow our step by step solution on how to calculate Resistivity using Line Losses (Single-Phase Three-Wire OS)?

FIRST Step Consider the formula
ρ=PlossA(Vmcos(Φ))2(P)2L
Next Step Substitute values of Variables
ρ=8.23W0.79(62Vcos(30°))2(890W)210.63m
Next Step Convert Units
ρ=8.23W0.79(62Vcos(0.5236rad))2(890W)210.63m
Next Step Prepare to Evaluate
ρ=8.230.79(62cos(0.5236))2(890)210.63
Next Step Evaluate
ρ=0.00222616982162638Ω*m
LAST Step Rounding Answer
ρ=0.0022Ω*m

Resistivity using Line Losses (Single-Phase Three-Wire OS) Formula Elements

Variables
Functions
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.
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.
Area of Overhead AC Wire
Area of Overhead AC Wire is defined as the cross-sectional area of the wire of an AC supply system.
Symbol: A
Measurement: AreaUnit:
Note: Value should be greater than 0.
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.
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.
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.
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.
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 Resistivity

​Go Resistivity using Area of X-section(Single-Phase Three-Wire OS)
ρ=A(Vm2)Ploss(cos(Φ))2L(P2)
​Go Resistivity using Load Current (Single-Phase Three-Wire OS)
ρ=PlossA2(I2)L

Other formulas in Resistance and Resistivity category

​Go Resistance(Single-Phase Three-Wire OS)
R=ρLA
​Go Resistance using Load Current (Single-Phase Three-Wire OS)
R=Ploss2I2

How to Evaluate Resistivity using Line Losses (Single-Phase Three-Wire OS)?

Resistivity using Line Losses (Single-Phase Three-Wire OS) evaluator uses Resistivity = Line Losses*Area of Overhead AC Wire*(Maximum Voltage Overhead AC*cos(Phase Difference))^2/((Power Transmitted)^2*Length of Overhead AC Wire) to evaluate the Resistivity, The Resistivity using Line Losses (single-Phase three-Wire OS) formula is defined as a characteristic property of each material, resistivity is useful in comparing various materials on the basis of their ability to conduct electric currents. High resistivity designates poor conductors. Resistivity is denoted by ρ symbol.

How to evaluate Resistivity using Line Losses (Single-Phase Three-Wire OS) using this online evaluator? To use this online evaluator for Resistivity using Line Losses (Single-Phase Three-Wire OS), enter Line Losses (Ploss), Area of Overhead AC Wire (A), Maximum Voltage Overhead AC (Vm), Phase Difference (Φ), Power Transmitted (P) & Length of Overhead AC Wire (L) and hit the calculate button.

FAQs on Resistivity using Line Losses (Single-Phase Three-Wire OS)

What is the formula to find Resistivity using Line Losses (Single-Phase Three-Wire OS)?
The formula of Resistivity using Line Losses (Single-Phase Three-Wire OS) is expressed as Resistivity = Line Losses*Area of Overhead AC Wire*(Maximum Voltage Overhead AC*cos(Phase Difference))^2/((Power Transmitted)^2*Length of Overhead AC Wire). Here is an example- 0.002226 = 8.23*0.79*(62*cos(0.5235987755982))^2/((890)^2*10.63).
How to calculate Resistivity using Line Losses (Single-Phase Three-Wire OS)?
With Line Losses (Ploss), Area of Overhead AC Wire (A), Maximum Voltage Overhead AC (Vm), Phase Difference (Φ), Power Transmitted (P) & Length of Overhead AC Wire (L) we can find Resistivity using Line Losses (Single-Phase Three-Wire OS) using the formula - Resistivity = Line Losses*Area of Overhead AC Wire*(Maximum Voltage Overhead AC*cos(Phase Difference))^2/((Power Transmitted)^2*Length of Overhead AC Wire). This formula also uses Cosine (cos) function(s).
What are the other ways to Calculate Resistivity?
Here are the different ways to Calculate Resistivity-
  • Resistivity=Area of Overhead AC Wire*(Maximum Voltage Overhead AC^2)*Line Losses*((cos(Phase Difference))^2)/(Length of Overhead AC Wire*(Power Transmitted^2))OpenImg
  • Resistivity=Line Losses*Area of Overhead AC Wire/(2*(Current Overhead AC^2)*Length of Overhead AC Wire)OpenImg
  • Resistivity=Volume of Conductor*Line Losses*(Maximum Voltage Overhead AC*(cos(Phase Difference)))^2/((2.5)*(Power Transmitted*Length of Overhead AC Wire)^2)OpenImg
Can the Resistivity using Line Losses (Single-Phase Three-Wire OS) be negative?
Yes, the Resistivity using Line Losses (Single-Phase Three-Wire OS), measured in Electric Resistivity can be negative.
Which unit is used to measure Resistivity using Line Losses (Single-Phase Three-Wire OS)?
Resistivity using Line Losses (Single-Phase Three-Wire OS) is usually measured using the Ohm Meter[Ω*m] for Electric Resistivity. Ohm Centimeter[Ω*m], Ohm Inch[Ω*m], Microhm Centimeter[Ω*m] are the few other units in which Resistivity using Line Losses (Single-Phase Three-Wire OS) can be measured.
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