Length using Area of X-Section (2-Wire Mid-Point Earthed DC US) Calculator

✖The Area of underground dc wire is the amount of two-dimensional space taken up by an object.ⓘ Area of underground dc wire [A]			+10% -10%
✖Line Losses is defined as the losses that are produced in the line.ⓘ Line Losses [P_line]			+10% -10%
✖Maximum Voltage the highest voltage rating for electrical devices.ⓘ Maximum Voltage [V_m]			+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%
✖Resistivity is the measure of how strongly a material opposes the flow of current through them.ⓘ Resistivity [ρ]			+10% -10%

✖Length of Wire DC is the measurement or extent of something from end to end.ⓘ Length using Area of X-Section (2-Wire Mid-Point Earthed DC US) [l]

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Formula

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Length using Area of X-Section (2-Wire Mid-Point Earthed DC US)

Formula

`"l" = "A"*"P"_{"line"}*("V"_{"m"}^2)/(2*("P"^2)*"ρ")`

Example

`"225.8824m"="0.32m²"*"0.6W"*(("60V")^2)/(2*(("300W")^2)*"0.000017Ω*m")`

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Length using Area of X-Section (2-Wire Mid-Point Earthed DC US) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Wire DC = Area of underground dc wire*Line Losses*(Maximum Voltage^2)/(2*(Power Transmitted^2)*Resistivity)
l = A*P_line*(V_m^2)/(2*(P^2)*ρ)
This formula uses 6 Variables

Variables Used

Length of Wire DC - (Measured in Meter) - Length of Wire DC is the measurement or extent of something from end to end.
Area of underground dc wire - (Measured in Square Meter) - The Area of underground dc wire is the amount of two-dimensional space taken up by an object.
Line Losses - (Measured in Watt) - Line Losses is defined as the losses that are produced in the line.
Maximum Voltage - (Measured in Volt) - Maximum Voltage the highest voltage rating for electrical devices.
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.
Resistivity - (Measured in Ohm Meter) - Resistivity is the measure of how strongly a material opposes the flow of current through them.

STEP 1: Convert Input(s) to Base Unit

Area of underground dc wire: 0.32 Square Meter --> 0.32 Square Meter No Conversion Required
Line Losses: 0.6 Watt --> 0.6 Watt No Conversion Required
Maximum Voltage: 60 Volt --> 60 Volt No Conversion Required
Power Transmitted: 300 Watt --> 300 Watt No Conversion Required
Resistivity: 1.7E-05 Ohm Meter --> 1.7E-05 Ohm Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l = A*P_line*(V_m^2)/(2*(P^2)*ρ) --> 0.32*0.6*(60^2)/(2*(300^2)*1.7E-05)

Evaluating ... ...

l = 225.882352941176

STEP 3: Convert Result to Output's Unit

225.882352941176 Meter --> No Conversion Required

FINAL ANSWER

225.882352941176 ≈ 225.8824 Meter <-- Length of Wire DC

(Calculation completed in 00.004 seconds)

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Home » Engineering » Electrical » Power System » Underground DC Supply » 2-Wire Mid-Point Earthed System » Wire Parameters » Length using Area of X-Section (2-Wire Mid-Point Earthed DC US)

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< 9 Wire Parameters Calculators

Line Losses using Area of X-Section (2-Wire Mid-Point Earthed DC US)

Go Line Losses = (2*Resistivity*Length of Wire DC*(Power Transmitted^2))/(Area of underground dc wire*(Maximum Voltage^2*cos(Theta)^2))

Volume of Conductor Material using Resistance (2-Wire Mid-Point DC US)

Go Volume Of Conductor = (4*Area of underground dc wire*Resistance underground DC*(Power Transmitted^2)*(Length of Wire DC))/(Line Losses*(Maximum Voltage^2))

Length using Area of X-Section (2-Wire Mid-Point Earthed DC US)

Go Length of Wire DC = Area of underground dc wire*Line Losses*(Maximum Voltage^2)/(2*(Power Transmitted^2)*Resistivity)

Volume of Conductor Material (2-Wire Mid-Point DC US)

Go Volume Of Conductor = 4*Resistivity*(Power Transmitted^2)*(Length of Wire DC^2)/(Line Losses*(Maximum Voltage^2))

Line Losses using Volume of Conductor Material (2-Wire Mid-Point DC US)

Go Line Losses = 4*Resistivity*(Power Transmitted^2*Length of Wire DC^2)/(Maximum Voltage^2*Volume Of Conductor)

Length using Volume of Conductor Material (2-Wire Mid-Point DC US)

Go Length of Wire DC = sqrt((Volume Of Conductor*Line Losses)/(4*(Current underground DC^2)*(Resistivity)))

Volume of Conductor Material using Load Current (2-Wire Mid-Point DC US)

Go Volume Of Conductor = 4*Resistivity*(Current underground DC^2)*(Length of Wire DC^2)/(Line Losses)

Area using Volume of Conductor Material (2-Wire Mid-Point DC US)

Go Area of underground dc wire = Volume Of Conductor/(2*Length of Wire DC)

Volume of Conductor Material using Area and Length (2-Wire Mid-Point DC US)

Go Volume Of Conductor = 2*Area of underground dc wire*Length of Wire DC

Length using Area of X-Section (2-Wire Mid-Point Earthed DC US) Formula

Length of Wire DC = Area of underground dc wire*Line Losses*(Maximum Voltage^2)/(2*(Power Transmitted^2)*Resistivity)
l = A*P_line*(V_m^2)/(2*(P^2)*ρ)

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 Length using Area of X-Section (2-Wire Mid-Point Earthed DC US)?

Length using Area of X-Section (2-Wire Mid-Point Earthed DC US) calculator uses Length of Wire DC = Area of underground dc wire*Line Losses*(Maximum Voltage^2)/(2*(Power Transmitted^2)*Resistivity) to calculate the Length of Wire DC, The Length using Area of X-Section (2-wire Mid-point earthed DC US) formula is defined as the total length of the wire that used in the 2-wire Mid-point earthed DC system. Length of Wire DC is denoted by l symbol.

How to calculate Length using Area of X-Section (2-Wire Mid-Point Earthed DC US) using this online calculator? To use this online calculator for Length using Area of X-Section (2-Wire Mid-Point Earthed DC US), enter Area of underground dc wire (A), Line Losses (P_line), Maximum Voltage (V_m), Power Transmitted (P) & Resistivity (ρ) and hit the calculate button. Here is how the Length using Area of X-Section (2-Wire Mid-Point Earthed DC US) calculation can be explained with given input values -> 225.8824 = 0.32*0.6*(60^2)/(2*(300^2)*1.7E-05).

FAQ

What is Length using Area of X-Section (2-Wire Mid-Point Earthed DC US)?

The Length using Area of X-Section (2-wire Mid-point earthed DC US) formula is defined as the total length of the wire that used in the 2-wire Mid-point earthed DC system and is represented as l = A*P_line*(V_m^2)/(2*(P^2)*ρ) or Length of Wire DC = Area of underground dc wire*Line Losses*(Maximum Voltage^2)/(2*(Power Transmitted^2)*Resistivity). The Area of underground dc wire is the amount of two-dimensional space taken up by an object, Line Losses is defined as the losses that are produced in the line, Maximum Voltage the highest voltage rating for electrical devices, 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 & Resistivity is the measure of how strongly a material opposes the flow of current through them.

How to calculate Length using Area of X-Section (2-Wire Mid-Point Earthed DC US)?

The Length using Area of X-Section (2-wire Mid-point earthed DC US) formula is defined as the total length of the wire that used in the 2-wire Mid-point earthed DC system is calculated using Length of Wire DC = Area of underground dc wire*Line Losses*(Maximum Voltage^2)/(2*(Power Transmitted^2)*Resistivity). To calculate Length using Area of X-Section (2-Wire Mid-Point Earthed DC US), you need Area of underground dc wire (A), Line Losses (P_line), Maximum Voltage (V_m), Power Transmitted (P) & Resistivity (ρ). With our tool, you need to enter the respective value for Area of underground dc wire, Line Losses, Maximum Voltage, Power Transmitted & Resistivity 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 Length of Wire DC?

In this formula, Length of Wire DC uses Area of underground dc wire, Line Losses, Maximum Voltage, Power Transmitted & Resistivity. We can use 1 other way(s) to calculate the same, which is/are as follows -

Length of Wire DC = sqrt((Volume Of Conductor*Line Losses)/(4*(Current underground DC^2)*(Resistivity)))

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