Resistivity using Area of X-Section (3 Phase 4 Wire US) Solution

STEP 0: Pre-Calculation Summary
Formula Used
Resistivity = Area of Underground AC Wire*Line Losses*(Maximum Voltage Underground AC^2)*(cos(Phase Difference)^2)/(4*Length of Underground AC Wire*(Power Transmitted^2))
ρ = A*Ploss*(Vm^2)*(cos(Φ)^2)/(4*L*(P^2))
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.
Area of Underground AC Wire - (Measured in Square Meter) - Area of Underground AC Wire is defined as the cross-sectional area of the wire of an AC supply system.
Line Losses - (Measured in Watt) - Line Losses is defined as the total losses occurring in an Underground AC line when in use.
Maximum Voltage Underground AC - (Measured in Volt) - Maximum Voltage Underground 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.
Length of Underground AC Wire - (Measured in Meter) - Length of Underground AC Wire is the total length of the wire from one end to other end.
Power Transmitted - (Measured in Watt) - Power Transmitted is the amount of power that is transferred from its place of generation to a location where it is applied to perform useful work.
STEP 1: Convert Input(s) to Base Unit
Area of Underground AC Wire: 1.28 Square Meter --> 1.28 Square Meter No Conversion Required
Line Losses: 2.67 Watt --> 2.67 Watt No Conversion Required
Maximum Voltage Underground AC: 230 Volt --> 230 Volt No Conversion Required
Phase Difference: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
Length of Underground AC Wire: 24 Meter --> 24 Meter No Conversion Required
Power Transmitted: 300 Watt --> 300 Watt No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ρ = A*Ploss*(Vm^2)*(cos(Φ)^2)/(4*L*(P^2)) --> 1.28*2.67*(230^2)*(cos(0.5235987755982)^2)/(4*24*(300^2))
Evaluating ... ...
ρ = 0.0156936666666667
STEP 3: Convert Result to Output's Unit
0.0156936666666667 Ohm Meter --> No Conversion Required
FINAL ANSWER
0.0156936666666667 0.015694 Ohm Meter <-- Resistivity
(Calculation completed in 00.004 seconds)

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6 Resistance & Resistivity Calculators

Resistance using Volume of Conductor Material (3 Phase 4 Wire US)
Go Resistance Underground AC = Volume Of Conductor*Line Losses*(Maximum Voltage Underground AC^2)*(cos(Phase Difference)^2)/(7*(Power Transmitted^2)*Area of Underground AC Wire)
Resistivity using Area of X-Section (3 Phase 4 Wire US)
Go Resistivity = Area of Underground AC Wire*Line Losses*(Maximum Voltage Underground AC^2)*(cos(Phase Difference)^2)/(4*Length of Underground AC Wire*(Power Transmitted^2))
Resistivity using Volume of Conductor Material (3 Phase 4 Wire US)
Go Resistivity = Volume Of Conductor*Line Losses*(Maximum Voltage Underground AC*(cos(Phase Difference)))^2/(6*(Power Transmitted*Length of Underground AC Wire)^2)
Resistivity using Load Current (3 Phase 4 Wire US)
Go Resistivity = (Volume Of Conductor*Line Losses/(3.5*3*(Current Underground AC^2)*(Length of Underground AC Wire^2)))
Resistivity using Line Losses (3 Phase 4 Wire US)
Go Resistivity = Line Losses*Area of Underground AC Wire/(3*(Current Underground AC^2)*Length of Underground AC Wire)
Resistance using Line Losses (3 Phase 4 Wire US)
Go Resistance Underground AC = Line Losses/(3*(Current Underground AC^2))

Resistivity using Area of X-Section (3 Phase 4 Wire US) Formula

Resistivity = Area of Underground AC Wire*Line Losses*(Maximum Voltage Underground AC^2)*(cos(Phase Difference)^2)/(4*Length of Underground AC Wire*(Power Transmitted^2))
ρ = A*Ploss*(Vm^2)*(cos(Φ)^2)/(4*L*(P^2))

Does resistivity change with length?

Resistivity is an intrinsic property of any material. It stays the same, no matter how long or thick your conductor is. Temperature coefficient*original resistivity*change in temperature. So there is no change with length in resistivity but resistance changes in direct proportion with the length of the conductor.

How to Calculate Resistivity using Area of X-Section (3 Phase 4 Wire US)?

Resistivity using Area of X-Section (3 Phase 4 Wire US) calculator uses Resistivity = Area of Underground AC Wire*Line Losses*(Maximum Voltage Underground AC^2)*(cos(Phase Difference)^2)/(4*Length of Underground AC Wire*(Power Transmitted^2)) to calculate the Resistivity, The Resistivity using Area of X-Section (3 phase 4 wire US) 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 Area of X-Section (3 Phase 4 Wire US) using this online calculator? To use this online calculator for Resistivity using Area of X-Section (3 Phase 4 Wire US), enter Area of Underground AC Wire (A), Line Losses (Ploss), Maximum Voltage Underground AC (Vm), Phase Difference (Φ), Length of Underground AC Wire (L) & Power Transmitted (P) and hit the calculate button. Here is how the Resistivity using Area of X-Section (3 Phase 4 Wire US) calculation can be explained with given input values -> 0.015694 = 1.28*2.67*(230^2)*(cos(0.5235987755982)^2)/(4*24*(300^2)).

FAQ

What is Resistivity using Area of X-Section (3 Phase 4 Wire US)?
The Resistivity using Area of X-Section (3 phase 4 wire US) 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 = A*Ploss*(Vm^2)*(cos(Φ)^2)/(4*L*(P^2)) or Resistivity = Area of Underground AC Wire*Line Losses*(Maximum Voltage Underground AC^2)*(cos(Phase Difference)^2)/(4*Length of Underground AC Wire*(Power Transmitted^2)). Area of Underground AC Wire is defined as the cross-sectional area of the wire of an AC supply system, Line Losses is defined as the total losses occurring in an Underground AC line when in use, Maximum Voltage Underground 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, Length of Underground AC Wire is the total length of the wire from one end to other end & Power Transmitted is the amount of power that is transferred from its place of generation to a location where it is applied to perform useful work.
How to calculate Resistivity using Area of X-Section (3 Phase 4 Wire US)?
The Resistivity using Area of X-Section (3 phase 4 wire US) 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 = Area of Underground AC Wire*Line Losses*(Maximum Voltage Underground AC^2)*(cos(Phase Difference)^2)/(4*Length of Underground AC Wire*(Power Transmitted^2)). To calculate Resistivity using Area of X-Section (3 Phase 4 Wire US), you need Area of Underground AC Wire (A), Line Losses (Ploss), Maximum Voltage Underground AC (Vm), Phase Difference (Φ), Length of Underground AC Wire (L) & Power Transmitted (P). With our tool, you need to enter the respective value for Area of Underground AC Wire, Line Losses, Maximum Voltage Underground AC, Phase Difference, Length of Underground AC Wire & 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 Resistivity?
In this formula, Resistivity uses Area of Underground AC Wire, Line Losses, Maximum Voltage Underground AC, Phase Difference, Length of Underground AC Wire & Power Transmitted. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Resistivity = Volume Of Conductor*Line Losses*(Maximum Voltage Underground AC*(cos(Phase Difference)))^2/(6*(Power Transmitted*Length of Underground AC Wire)^2)
  • Resistivity = (Volume Of Conductor*Line Losses/(3.5*3*(Current Underground AC^2)*(Length of Underground AC Wire^2)))
  • Resistivity = Line Losses*Area of Underground AC Wire/(3*(Current Underground AC^2)*Length of Underground AC Wire)
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