Resistivity 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%
✖Area of Overhead AC Wire is defined as the cross-sectional area of the wire of an AC supply system.ⓘ Area of Overhead AC Wire [A]			+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%
✖Length of Overhead AC Wire is the total length of the wire from one end to other end.ⓘ Length of Overhead AC Wire [L]			+10% -10%

✖Resistivity is the measure of how strongly a material opposes the flow of current through them.ⓘ Resistivity using Line Losses (Single-Phase Three-Wire OS) [ρ]

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

STEP 0: Pre-Calculation Summary

Formula Used

Resistivity = Line Losses*Area of Overhead AC Wire*(Maximum Voltage Overhead AC*cos(Phase Difference))^2/((Power Transmitted)^2*Length of Overhead AC Wire)
ρ = P_loss*A*(V_m*cos(Φ))^2/((P)^2*L)
This formula uses 1 Functions, 7 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

Resistivity - (Measured in Ohm Meter) - Resistivity is the measure of how strongly a material opposes the flow of current through them.
Line Losses - (Measured in Watt) - Line Losses is defined as the total losses occurring in an Overhead AC line when in use.
Area of Overhead AC Wire - (Measured in Square Meter) - Area of Overhead AC Wire is defined as the cross-sectional area of the wire of an AC supply system.
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.
Length of Overhead AC Wire - (Measured in Meter) - Length of Overhead AC Wire is the total length of the wire from one end to other end.

STEP 1: Convert Input(s) to Base Unit

Line Losses: 8.23 Watt --> 8.23 Watt No Conversion Required
Area of Overhead AC Wire: 0.79 Square Meter --> 0.79 Square Meter 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
Length of Overhead AC Wire: 10.63 Meter --> 10.63 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ρ = P_loss*A*(V_m*cos(Φ))^2/((P)^2*L) --> 8.23*0.79*(62*cos(0.5235987755982))^2/((890)^2*10.63)

Evaluating ... ...

ρ = 0.00222616982162638

STEP 3: Convert Result to Output's Unit

0.00222616982162638 Ohm Meter --> No Conversion Required

FINAL ANSWER

0.00222616982162638 ≈ 0.002226 Ohm Meter <-- Resistivity

(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

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

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)
ρ = P_loss*A*(V_m*cos(Φ))^2/((P)^2*L)

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

Resistivity using Line Losses (Single-Phase Three-Wire OS) calculator 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 calculate 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 calculate Resistivity using Line Losses (Single-Phase Three-Wire OS) using this online calculator? To use this online calculator for Resistivity using Line Losses (Single-Phase Three-Wire OS), enter Line Losses (P_loss), Area of Overhead AC Wire (A), Maximum Voltage Overhead AC (V_m), Phase Difference (Φ), Power Transmitted (P) & Length of Overhead AC Wire (L) and hit the calculate button. Here is how the Resistivity using Line Losses (Single-Phase Three-Wire OS) calculation can be explained with given input values -> 0.002226 = 8.23*0.79*(62*cos(0.5235987755982))^2/((890)^2*10.63).

FAQ

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

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 and is represented as ρ = P_loss*A*(V_m*cos(Φ))^2/((P)^2*L) or Resistivity = Line Losses*Area of Overhead AC Wire*(Maximum Voltage Overhead AC*cos(Phase Difference))^2/((Power Transmitted)^2*Length of Overhead AC Wire). Line Losses is defined as the total losses occurring in an Overhead AC line when in use, Area of Overhead AC Wire is defined as the cross-sectional area of the wire of an AC supply system, 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 & Length of Overhead AC Wire is the total length of the wire from one end to other end.

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

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 is calculated using 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 calculate Resistivity using Line Losses (Single-Phase Three-Wire OS), you need Line Losses (P_loss), Area of Overhead AC Wire (A), Maximum Voltage Overhead AC (V_m), Phase Difference (Φ), Power Transmitted (P) & Length of Overhead AC Wire (L). With our tool, you need to enter the respective value for Line Losses, Area of Overhead AC Wire, Maximum Voltage Overhead AC, Phase Difference, Power Transmitted & Length of Overhead AC Wire 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 Resistivity?

In this formula, Resistivity uses Line Losses, Area of Overhead AC Wire, Maximum Voltage Overhead AC, Phase Difference, Power Transmitted & Length of Overhead AC Wire. We can use 3 other way(s) to calculate the same, which is/are as follows -

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 = Line Losses*Area of Overhead AC Wire/(2*(Current Overhead AC^2)*Length of Overhead AC Wire)
Resistivity = Volume of Conductor*Line Losses*(Maximum Voltage Overhead AC*(cos(Phase Difference)))^2/((2.5)*(Power Transmitted*Length of Overhead AC Wire)^2)

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