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

✖Area of Underground AC Wire is defined as the cross-sectional area of the wire of an AC supply system.ⓘ Area of Underground AC Wire [A]			+10% -10%
✖Line Losses is defined as the total losses occurring in an Underground AC line when in use.ⓘ Line Losses [P_loss]			+10% -10%
✖Maximum Voltage Underground AC is defined as the peak amplitude of the AC voltage supplied to the line or wire.ⓘ Maximum Voltage Underground 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 the amount of power that is transferred from its place of generation to a location where it is applied to perform useful work.ⓘ Power Transmitted [P]			+10% -10%
✖Length of Underground AC Wire is the total length of the wire from one end to other end.ⓘ Length of Underground AC Wire [L]			+10% -10%

✖Resistivity is the measure of how strongly a material opposes the flow of current through them.ⓘ Resistivity using Area of X-Section (3 Phase 3 Wire US) [ρ]

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Formula

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

Formula

`"ρ" = "A"*"P"_{"loss"}*("V"_{"m"}^2)*(cos("Φ")^2)/(2*("P"^2)*"L")`

Example

`"0.031387Ω*m"="1.28m²"*"2.67W"*(("230V")^2)*(cos("30°")^2)/(2*(("300W")^2)*"24m")`

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Resistivity using Area of X-Section (3 Phase 3 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)/(2*(Power Transmitted^2)*Length of Underground AC Wire)
ρ = A*P_loss*(V_m^2)*(cos(Φ)^2)/(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.
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.
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.
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.

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)
Power Transmitted: 300 Watt --> 300 Watt No Conversion Required
Length of Underground AC Wire: 24 Meter --> 24 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ρ = A*P_loss*(V_m^2)*(cos(Φ)^2)/(2*(P^2)*L) --> 1.28*2.67*(230^2)*(cos(0.5235987755982)^2)/(2*(300^2)*24)

Evaluating ... ...

ρ = 0.0313873333333333

STEP 3: Convert Result to Output's Unit

0.0313873333333333 Ohm Meter --> No Conversion Required

FINAL ANSWER

0.0313873333333333 ≈ 0.031387 Ohm Meter <-- Resistivity

(Calculation completed in 00.004 seconds)

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< 5 Resistance & Resistivity Calculators

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

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

Resistivity using Volume of Conductor Material (3 Phase 3 Wire US)

Go Resistivity = Volume Of Conductor*Line Losses*(Maximum Voltage Underground AC*(cos(Phase Difference)))^2/(7*(Power Transmitted*Length of Underground AC Wire)^2)

Angle using Area of X-Section (3 Phase 3 Wire US)

Go Phase Difference = acos((Power Transmitted/Maximum Voltage Underground AC)*sqrt(2*Resistivity*Length of Underground AC Wire/(Area of Underground AC Wire)))

Angle of PF using Volume of Conductor Material (3 Phase 3 Wire US)

Go Phase Difference = acos(sqrt((0.5)*Constant Underground AC/Volume Of Conductor))

Resistance using Line Losses (3 Phase 3 Wire US)

Go Resistance Underground AC = Line Losses/3*(Current Underground AC^2)

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

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 length of the conductor.

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

Resistivity using Area of X-Section (3 Phase 3 Wire US) calculator uses Resistivity = Area of Underground AC Wire*Line Losses*(Maximum Voltage Underground AC^2)*(cos(Phase Difference)^2)/(2*(Power Transmitted^2)*Length of Underground AC Wire) to calculate the Resistivity, The Resistivity using Area of X-Section (3 phase 3 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 3 Wire US) using this online calculator? To use this online calculator for Resistivity using Area of X-Section (3 Phase 3 Wire US), enter Area of Underground AC Wire (A), Line Losses (P_loss), Maximum Voltage Underground AC (V_m), Phase Difference (Φ), Power Transmitted (P) & Length of Underground AC Wire (L) and hit the calculate button. Here is how the Resistivity using Area of X-Section (3 Phase 3 Wire US) calculation can be explained with given input values -> 0.031387 = 1.28*2.67*(230^2)*(cos(0.5235987755982)^2)/(2*(300^2)*24).

FAQ

What is Resistivity using Area of X-Section (3 Phase 3 Wire US)?

The Resistivity using Area of X-Section (3 phase 3 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*P_loss*(V_m^2)*(cos(Φ)^2)/(2*(P^2)*L) or Resistivity = Area of Underground AC Wire*Line Losses*(Maximum Voltage Underground AC^2)*(cos(Phase Difference)^2)/(2*(Power Transmitted^2)*Length of Underground AC Wire). 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, 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 & Length of Underground AC Wire is the total length of the wire from one end to other end.

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

The Resistivity using Area of X-Section (3 phase 3 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)/(2*(Power Transmitted^2)*Length of Underground AC Wire). To calculate Resistivity using Area of X-Section (3 Phase 3 Wire US), you need Area of Underground AC Wire (A), Line Losses (P_loss), Maximum Voltage Underground AC (V_m), Phase Difference (Φ), Power Transmitted (P) & Length of Underground AC Wire (L). With our tool, you need to enter the respective value for Area of Underground AC Wire, Line Losses, Maximum Voltage Underground AC, Phase Difference, Power Transmitted & Length of Underground 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 Area of Underground AC Wire, Line Losses, Maximum Voltage Underground AC, Phase Difference, Power Transmitted & Length of Underground AC Wire. We can use 1 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/(7*(Power Transmitted*Length of Underground AC Wire)^2)

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