Area of X-Section(Single Phase Two Wire Mid-Point Earthed) Calculator

✖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 [ρ]			+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%
✖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%
✖Line Losses is defined as the total losses occurring in an Overhead AC line when in use.ⓘ Line Losses [P_loss]			+10% -10%
✖Voltage Overhead AC is defined as the amount of work or force required to start the conduction of current within a line.ⓘ Voltage Overhead AC [V_ac]			+10% -10%

✖Area of Overhead AC Wire is defined as the cross-sectional area of the wire of an AC supply system.ⓘ Area of X-Section(Single Phase Two Wire Mid-Point Earthed) [A]

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Area of X-Section(Single Phase Two Wire Mid-Point Earthed) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Overhead AC Wire = (Power Transmitted^2*Resistivity*Length of Overhead AC Wire)/(((cos(Phase Difference))^2)*Line Losses*Voltage Overhead AC^2)
A = (P^2*ρ*L)/(((cos(Φ))^2)*P_loss*V_ac^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

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.
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.
Resistivity - (Measured in Ohm Meter) - Resistivity is the measure of how strongly a material opposes the flow of current through them.
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.
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.
Line Losses - (Measured in Watt) - Line Losses is defined as the total losses occurring in an Overhead AC line when in use.
Voltage Overhead AC - (Measured in Volt) - Voltage Overhead AC is defined as the amount of work or force required to start the conduction of current within a line.

STEP 1: Convert Input(s) to Base Unit

Power Transmitted: 890 Watt --> 890 Watt No Conversion Required
Resistivity: 1.7E-05 Ohm Meter --> 1.7E-05 Ohm Meter No Conversion Required
Length of Overhead AC Wire: 10.63 Meter --> 10.63 Meter No Conversion Required
Phase Difference: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
Line Losses: 8.23 Watt --> 8.23 Watt No Conversion Required
Voltage Overhead AC: 180 Volt --> 180 Volt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = (P^2*ρ*L)/(((cos(Φ))^2)*P_loss*V_ac^2) --> (890^2*1.7E-05*10.63)/(((cos(0.5235987755982))^2)*8.23*180^2)

Evaluating ... ...

A = 0.000715741320772643

STEP 3: Convert Result to Output's Unit

0.000715741320772643 Square Meter --> No Conversion Required

FINAL ANSWER

0.000715741320772643 ≈ 0.000716 Square Meter <-- Area of Overhead AC Wire

(Calculation completed in 00.020 seconds)

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Home » Engineering » Electrical » Power System » Overhead AC Supply » 1 2 Wire Mid Point Earthed System » Wire Parameters » Area of X-Section(Single Phase Two Wire Mid-Point Earthed)

Credits

Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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

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Birsa Institute of Technology (BIT), Sindri

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< Wire Parameters Calculators

Length of Wire using Area of X-Section(Single Phase Two Wire Mid-Point Earthed OS)

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

Line Losses using Area of X-Section(Single Phase Two Wire Mid-Point Earthed OS)

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

Area of X-Section(Single Phase Two Wire Mid-Point Earthed)

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

Constant (Single Phase Two Wire Mid-Point Earthed)

LaTeX Go Constant Overhead AC = (4*Power Transmitted^2*Resistivity*Length of Overhead AC Wire)/(Line Losses*Voltage Overhead AC^2)

Area of X-Section(Single Phase Two Wire Mid-Point Earthed) Formula

LaTeX Go

Area of Overhead AC Wire = (Power Transmitted^2*Resistivity*Length of Overhead AC Wire)/(((cos(Phase Difference))^2)*Line Losses*Voltage Overhead AC^2)
A = (P^2*ρ*L)/(((cos(Φ))^2)*P_loss*V_ac^2)

What is the value of maximum voltage and volume of conductor material in this system?

The volume of conductor material required in this system is (1/2)cos²θ 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 √2v_m.

How to Calculate Area of X-Section(Single Phase Two Wire Mid-Point Earthed)?

Area of X-Section(Single Phase Two Wire Mid-Point Earthed) calculator uses Area of Overhead AC Wire = (Power Transmitted^2*Resistivity*Length of Overhead AC Wire)/(((cos(Phase Difference))^2)*Line Losses*Voltage Overhead AC^2) to calculate the Area of Overhead AC Wire, The Area of X-Section(single Phase two Wire Mid-Point Earthed) formula is defined as the cross-sectional area simply as the square of the wire's diameter in mils and calls that our area in units of “circular mils.” This makes number handling ever so much easier. Area of Overhead AC Wire is denoted by A symbol.

How to calculate Area of X-Section(Single Phase Two Wire Mid-Point Earthed) using this online calculator? To use this online calculator for Area of X-Section(Single Phase Two Wire Mid-Point Earthed), enter Power Transmitted (P), Resistivity (ρ), Length of Overhead AC Wire (L), Phase Difference (Φ), Line Losses (P_loss) & Voltage Overhead AC (V_ac) and hit the calculate button. Here is how the Area of X-Section(Single Phase Two Wire Mid-Point Earthed) calculation can be explained with given input values -> 0.000716 = (890^2*1.7E-05*10.63)/(((cos(0.5235987755982))^2)*8.23*180^2).

FAQ

What is Area of X-Section(Single Phase Two Wire Mid-Point Earthed)?

The Area of X-Section(single Phase two Wire Mid-Point Earthed) formula is defined as the cross-sectional area simply as the square of the wire's diameter in mils and calls that our area in units of “circular mils.” This makes number handling ever so much easier and is represented as A = (P^2*ρ*L)/(((cos(Φ))^2)*P_loss*V_ac^2) or Area of Overhead AC Wire = (Power Transmitted^2*Resistivity*Length of Overhead AC Wire)/(((cos(Phase Difference))^2)*Line Losses*Voltage Overhead AC^2). Power Transmitted is defined as the product of current and voltage phasor in a overhead ac line at the receiving end, Resistivity is the measure of how strongly a material opposes the flow of current through them, Length of Overhead AC Wire is the total length of the wire from one end to other end, 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, Line Losses is defined as the total losses occurring in an Overhead AC line when in use & Voltage Overhead AC is defined as the amount of work or force required to start the conduction of current within a line.

How to calculate Area of X-Section(Single Phase Two Wire Mid-Point Earthed)?

The Area of X-Section(single Phase two Wire Mid-Point Earthed) formula is defined as the cross-sectional area simply as the square of the wire's diameter in mils and calls that our area in units of “circular mils.” This makes number handling ever so much easier is calculated using Area of Overhead AC Wire = (Power Transmitted^2*Resistivity*Length of Overhead AC Wire)/(((cos(Phase Difference))^2)*Line Losses*Voltage Overhead AC^2). To calculate Area of X-Section(Single Phase Two Wire Mid-Point Earthed), you need Power Transmitted (P), Resistivity (ρ), Length of Overhead AC Wire (L), Phase Difference (Φ), Line Losses (P_loss) & Voltage Overhead AC (V_ac). With our tool, you need to enter the respective value for Power Transmitted, Resistivity, Length of Overhead AC Wire, Phase Difference, Line Losses & Voltage Overhead AC 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 Area of Overhead AC Wire?

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

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

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