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

✖Line Losses is defined as the total losses occurring in an Overhead AC line when in use.ⓘ Line Losses [P_loss]			+10% -10%
✖Maximum Voltage Overhead AC is defined as the peak amplitude of the AC voltage supplied to the line or wire.ⓘ Maximum Voltage Overhead AC [V_m]			+10% -10%
✖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.ⓘ Phase Difference [Φ]			+10% -10%
✖Power Transmitted is defined as the product of current and voltage phasor in a overhead ac line at the receiving end.ⓘ Power Transmitted [P]			+10% -10%

✖Resistance Overhead AC is defined as the property of the wire or line that opposes the flow of current through it.ⓘ Resistance using Line Losses (Single-Phase Three-Wire OS) [R]

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

STEP 0: Pre-Calculation Summary

Formula Used

Resistance Overhead AC = Line Losses*(Maximum Voltage Overhead AC*cos(Phase Difference))^2/((Power Transmitted)^2)
R = P_loss*(V_m*cos(Φ))^2/((P)^2)
This formula uses 1 Functions, 5 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Resistance Overhead AC - (Measured in Ohm) - Resistance Overhead AC is defined as the property of the wire or line that opposes the flow of current through it.
Line Losses - (Measured in Watt) - Line Losses is defined as the total losses occurring in an Overhead AC line when in use.
Maximum Voltage Overhead AC - (Measured in Volt) - Maximum Voltage Overhead AC is defined as the peak amplitude of the AC voltage supplied to the line or wire.
Phase Difference - (Measured in Radian) - 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.
Power Transmitted - (Measured in Watt) - Power Transmitted is defined as the product of current and voltage phasor in a overhead ac line at the receiving end.

STEP 1: Convert Input(s) to Base Unit

Line Losses: 8.23 Watt --> 8.23 Watt No Conversion Required
Maximum Voltage Overhead AC: 62 Volt --> 62 Volt No Conversion Required
Phase Difference: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
Power Transmitted: 890 Watt --> 890 Watt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R = P_loss*(V_m*cos(Φ))^2/((P)^2) --> 8.23*(62*cos(0.5235987755982))^2/((890)^2)

Evaluating ... ...

R = 0.0299546648150486

STEP 3: Convert Result to Output's Unit

0.0299546648150486 Ohm --> No Conversion Required

FINAL ANSWER

0.0299546648150486 ≈ 0.029955 Ohm <-- Resistance Overhead AC

(Calculation completed in 00.004 seconds)

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< Resistance and Resistivity Calculators

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

LaTeX Go 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))

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

LaTeX Go Resistivity = Line Losses*Area of Overhead AC Wire*(Maximum Voltage Overhead AC*cos(Phase Difference))^2/((Power Transmitted)^2*Length of Overhead AC Wire)

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

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

Resistance(Single-Phase Three-Wire OS)

LaTeX Go Resistance Overhead AC = (Resistivity*Length of Overhead AC Wire)/Area of Overhead AC Wire

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

LaTeX Go

Resistance Overhead AC = Line Losses*(Maximum Voltage Overhead AC*cos(Phase Difference))^2/((Power Transmitted)^2)
R = P_loss*(V_m*cos(Φ))^2/((P)^2)

What is the value of maximum voltage and volume of conductor material in 1-phase 3-wire system?

The volume of conductor material required in this system is 5/8cos²θ times that of 2-wire d.c.system with the one conductor earthed. The maximum voltage between conductors is 2v_m so that r.m.s. value of voltage between them is √2/v_m.

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

Resistance using Line Losses (Single-Phase Three-Wire OS) calculator uses Resistance Overhead AC = Line Losses*(Maximum Voltage Overhead AC*cos(Phase Difference))^2/((Power Transmitted)^2) to calculate 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 calculate Resistance using Line Losses (Single-Phase Three-Wire OS) using this online calculator? To use this online calculator 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. Here is how the Resistance using Line Losses (Single-Phase Three-Wire OS) calculation can be explained with given input values -> 0.029955 = 8.23*(62*cos(0.5235987755982))^2/((890)^2).

FAQ

What is Resistance using Line Losses (Single-Phase Three-Wire OS)?

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 and is represented as R = P_loss*(V_m*cos(Φ))^2/((P)^2) or Resistance Overhead AC = Line Losses*(Maximum Voltage Overhead AC*cos(Phase Difference))^2/((Power Transmitted)^2). Line Losses is defined as the total losses occurring in an Overhead AC line when in use, Maximum Voltage Overhead AC is defined as the peak amplitude of the AC voltage supplied to the line or wire, 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 & Power Transmitted is defined as the product of current and voltage phasor in a overhead ac line at the receiving end.

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

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 is calculated using Resistance Overhead AC = Line Losses*(Maximum Voltage Overhead AC*cos(Phase Difference))^2/((Power Transmitted)^2). To calculate Resistance using Line Losses (Single-Phase Three-Wire OS), you need Line Losses (P_loss), Maximum Voltage Overhead AC (V_m), Phase Difference (Φ) & Power Transmitted (P). With our tool, you need to enter the respective value for Line Losses, Maximum Voltage Overhead AC, Phase Difference & Power Transmitted and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Resistance Overhead AC?

In this formula, Resistance Overhead AC uses Line Losses, Maximum Voltage Overhead AC, Phase Difference & Power Transmitted. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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