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

GoResistance(Single-Phase Three-Wire OS) Formula

GoResistance using Load Current (Single-Phase Three-Wire OS) Formula

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

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

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

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

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

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

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

0.03 = 8.23 \cdot \frac{{(62 \cdot \cos (30))}^{2}}{{(890)}^{2}}

0.03Ω = 8.23W \cdot \frac{{(62V \cdot \cos (30°))}^{2}}{{(890W)}^{2}}

0.03 = 8.23 \cdot \frac{{(62 \cdot \cos (30))}^{2}}{{(890)}^{2}}

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Resistance using Line Losses (Single-Phase Three-Wire OS) Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

R = 8.23W \cdot \frac{{(62V \cdot \cos (30°))}^{2}}{{(890W)}^{2}}

Next Step Convert Units

∴

R = 8.23W \cdot \frac{{(62V \cdot \cos (0.5236rad))}^{2}}{{(890W)}^{2}}

Next Step Prepare to Evaluate

∴

R = 8.23 \cdot \frac{{(62 \cdot \cos (0.5236))}^{2}}{{(890)}^{2}}

Next Step Evaluate

∴

R = 0.0299546648150486Ω

LAST Step Rounding Answer

∴

R = 0.03Ω

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

Variables

Functions

Resistance Overhead AC

Resistance Overhead 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 Overhead AC

Line Losses

Line Losses is defined as the total losses occurring in an Overhead 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 Overhead AC

Maximum Voltage Overhead 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 Overhead 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

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 Transmitted

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 Resistance Overhead AC

Go Resistance(Single-Phase Three-Wire OS)

R = \frac{ρ \cdot L}{A}

Go Resistance using Load Current (Single-Phase Three-Wire OS)

R = \frac{P loss}{2 \cdot I^{2}}

Other formulas in Resistance and Resistivity category

Go Resistivity using Area of X-section(Single-Phase Three-Wire OS)

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

Go Resistivity using Load Current (Single-Phase Three-Wire OS)

ρ = P loss \cdot \frac{A}{2 \cdot (I^{2}) \cdot L}

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

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

Go Resistivity using Volume of Conductor Material (Single-Phase Three-Wire OS)

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

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

Resistance using Line Losses (Single-Phase Three-Wire OS) evaluator uses Resistance Overhead AC = Line Losses*(Maximum Voltage Overhead AC*cos(Phase Difference))^2/((Power Transmitted)^2) to evaluate the Resistance Overhead AC, The Resistance using Line Losses (single-Phase three-Wire OS) formula is defined as a measure of the opposition to current flow in an electrical circuit. Resistance Overhead AC is denoted by R symbol.

How to evaluate Resistance using Line Losses (Single-Phase Three-Wire OS) using this online evaluator? To use this online evaluator for Resistance using Line Losses (Single-Phase Three-Wire OS), enter Line Losses (P_loss), Maximum Voltage Overhead AC (V_m), Phase Difference (Φ) & Power Transmitted (P) and hit the calculate button.

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

What is the formula to find Resistance using Line Losses (Single-Phase Three-Wire OS)?

The formula of Resistance using Line Losses (Single-Phase Three-Wire OS) is expressed as Resistance Overhead AC = Line Losses*(Maximum Voltage Overhead AC*cos(Phase Difference))^2/((Power Transmitted)^2). Here is an example- 0.029955 = 8.23*(62*cos(0.5235987755982))^2/((890)^2).

How to calculate Resistance using Line Losses (Single-Phase Three-Wire OS)?

With Line Losses (P_loss), Maximum Voltage Overhead AC (V_m), Phase Difference (Φ) & Power Transmitted (P) we can find Resistance using Line Losses (Single-Phase Three-Wire OS) using the formula - Resistance Overhead AC = Line Losses*(Maximum Voltage Overhead AC*cos(Phase Difference))^2/((Power Transmitted)^2). This formula also uses Cosine (cos) function(s).

What are the other ways to Calculate Resistance Overhead AC?

Here are the different ways to Calculate Resistance Overhead AC-

Resistance Overhead AC=(Resistivity*Length of Overhead AC Wire)/Area of Overhead AC Wire
Resistance Overhead AC=Line Losses/(2*Current Overhead AC^2)

Can the Resistance using Line Losses (Single-Phase Three-Wire OS) be negative?

Yes, the Resistance using Line Losses (Single-Phase Three-Wire OS), measured in Electric Resistance can be negative.

Which unit is used to measure Resistance using Line Losses (Single-Phase Three-Wire OS)?

Resistance using Line Losses (Single-Phase Three-Wire OS) is usually measured using the Ohm[Ω] for Electric Resistance. Megohm[Ω], Microhm[Ω], Volt per Ampere[Ω] are the few other units in which Resistance using Line Losses (Single-Phase Three-Wire OS) can be measured.

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

​GoResistance(Single-Phase Three-Wire OS) Formula

​GoResistance using Load Current (Single-Phase Three-Wire OS) Formula

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

Resistance using Line Losses (Single-Phase Three-Wire OS) Solution

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

Other Formulas to find Resistance Overhead AC

Other formulas in Resistance and Resistivity category

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

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

Variable Name

GoResistance(Single-Phase Three-Wire OS) Formula

GoResistance using Load Current (Single-Phase Three-Wire OS) Formula