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

✖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%
✖Line Losses is defined as the total losses occurring in an Overhead AC line when in use.ⓘ Line Losses [P_loss]			+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%
✖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%
✖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%

✖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 OS) [ρ]

⎘ Copy

👎

Formula

✖

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

Formula

`"ρ" = 3*"A"*("V"_{"m"}^2)*"P"_{"loss"}*((cos("Φ"))^2)/(2*"L"*("P"^2))`

Example

`"0.003339Ω*m"=3*"0.79m²"*(("62V")^2)*"8.23W"*((cos("30°"))^2)/(2*"10.63m"*(("890W")^2))`

Calculator

LaTeX

Reset

👍

Download Power System Formula PDF

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

STEP 0: Pre-Calculation Summary

Formula Used

Resistivity = 3*Area of Overhead AC Wire*(Maximum Voltage Overhead AC^2)*Line Losses*((cos(Phase Difference))^2)/(2*Length of Overhead AC Wire*(Power Transmitted^2))
ρ = 3*A*(V_m^2)*P_loss*((cos(Φ))^2)/(2*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 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.
Line Losses - (Measured in Watt) - Line Losses is defined as the total losses occurring in an Overhead AC line when in use.
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 Overhead AC Wire - (Measured in Meter) - Length of Overhead AC Wire is the total length of the wire from one end to other end.
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

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
Line Losses: 8.23 Watt --> 8.23 Watt No Conversion Required
Phase Difference: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
Length of Overhead AC Wire: 10.63 Meter --> 10.63 Meter No Conversion Required
Power Transmitted: 890 Watt --> 890 Watt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ρ = 3*A*(V_m^2)*P_loss*((cos(Φ))^2)/(2*L*(P^2)) --> 3*0.79*(62^2)*8.23*((cos(0.5235987755982))^2)/(2*10.63*(890^2))

Evaluating ... ...

ρ = 0.00333925473243957

STEP 3: Convert Result to Output's Unit

0.00333925473243957 Ohm Meter --> No Conversion Required

FINAL ANSWER

0.00333925473243957 ≈ 0.003339 Ohm Meter <-- Resistivity

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Electrical » Power System » Overhead AC Supply » 3-Φ 3-Wire System » Current & Voltage » Resistivity using Area of X-Section(3-Phase 3-Wire OS)

Credits

Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

Urvi Rathod has created this Calculator and 1500+ more calculators!

Verified by Payal Priya

Birsa Institute of Technology (BIT), Sindri

Payal Priya has verified this Calculator and 1900+ more calculators!

< 8 Current & Voltage Calculators

Maximum Voltage using Area of X-Section(3-Phase 3-Wire OS)

Go Maximum Voltage Overhead AC = sqrt((2*Length of Overhead AC Wire*Resistivity*(Power Transmitted^2))/(3*Area of Overhead AC Wire*Line Losses*((cos(Phase Difference))^2)))

RMS Voltage using Area of X-Section(3-Phase 3-Wire OS)

Go Root Mean Square Voltage = sqrt(Resistivity*(Power Transmitted^2*Length of Overhead AC Wire^2)/(3*Area of Overhead AC Wire*Line Losses*(cos(Phase Difference)^2)))

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

Go Resistivity = 3*Area of Overhead AC Wire*(Maximum Voltage Overhead AC^2)*Line Losses*((cos(Phase Difference))^2)/(2*Length of Overhead AC Wire*(Power Transmitted^2))

Load Current(3-Phase 3-Wire OS)

Go Current Overhead AC = (sqrt(2)*Power Transmitted)/((3)*Maximum Voltage Overhead AC*cos(Phase Difference))

Maximum Voltage using Load Current(3-Phase 3-Wire OS)

Go Maximum Voltage Overhead AC = (sqrt(2)*Power Transmitted)/(3*Current Overhead AC*cos(Phase Difference))

RMS Voltage using Load Current(3-Phase 3-Wire OS)

Go Root Mean Square Voltage = Power Transmitted/(3*cos(Phase Difference)*Current Overhead AC)

Resistance(3-Phase 3-Wire OS)

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

Maximum Voltage(3-Phase 3-Wire OS)

Go Voltage Overhead AC = (1)*Maximum Voltage Overhead AC

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

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

The volume of conductor material required in this system is 0.5/cos²θ times that of 2-wire d.c.system with the one conductor earthed. The maximum voltage between conductors is v_m so that r.m.s. value of voltage between them is v_m/√2.

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

Resistivity using Area of X-Section(3-Phase 3-Wire OS) calculator uses Resistivity = 3*Area of Overhead AC Wire*(Maximum Voltage Overhead AC^2)*Line Losses*((cos(Phase Difference))^2)/(2*Length of Overhead AC Wire*(Power Transmitted^2)) to calculate the Resistivity, The Resistivity using Area of X-Section(3-phase 3-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 Area of X-Section(3-Phase 3-Wire OS) using this online calculator? To use this online calculator for Resistivity using Area of X-Section(3-Phase 3-Wire OS), enter Area of Overhead AC Wire (A), Maximum Voltage Overhead AC (V_m), Line Losses (P_loss), Phase Difference (Φ), Length of Overhead AC Wire (L) & Power Transmitted (P) and hit the calculate button. Here is how the Resistivity using Area of X-Section(3-Phase 3-Wire OS) calculation can be explained with given input values -> 0.003339 = 3*0.79*(62^2)*8.23*((cos(0.5235987755982))^2)/(2*10.63*(890^2)).

FAQ

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

The Resistivity using Area of X-Section(3-phase 3-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 = 3*A*(V_m^2)*P_loss*((cos(Φ))^2)/(2*L*(P^2)) or Resistivity = 3*Area of Overhead AC Wire*(Maximum Voltage Overhead AC^2)*Line Losses*((cos(Phase Difference))^2)/(2*Length of Overhead AC Wire*(Power Transmitted^2)). 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, Line Losses is defined as the total losses occurring in an Overhead AC line when in use, 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 Overhead AC Wire is the total length of the wire from one end to other end & Power Transmitted is defined as the product of current and voltage phasor in a overhead ac line at the receiving end.

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

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

Home

FREE PDFs

🔍 Search