Load Current using Area of X-Section(DC 3-Wire) Calculator

✖Area of Overhead DC Wire is defined as the cross-sectional area of the wire of an overhead DC supply system.ⓘ Area of Overhead DC Wire [A]			+10% -10%
✖Line Losses is defined as the total losses occurring in an Overhead DC line when in use.ⓘ Line Losses [P_loss]			+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 total length of the wire from one end to other end.ⓘ Length of Wire DC [L]			+10% -10%

✖Current Overhead DC is defined as the current flowing through the overhead ac supply wire.ⓘ Load Current using Area of X-Section(DC 3-Wire) [I]

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Formula

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Load Current using Area of X-Section(DC 3-Wire)

Formula

`"I" = sqrt("A"*"P"_{"loss"}/("ρ"*"L"))`

Example

`"47.20046A"=sqrt("0.65m²"*"0.74W"/("0.000017Ω*m"*"12.7m"))`

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Load Current using Area of X-Section(DC 3-Wire) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Current Overhead DC = sqrt(Area of Overhead DC Wire*Line Losses/(Resistivity*Length of Wire DC))
I = sqrt(A*P_loss/(ρ*L))
This formula uses 1 Functions, 5 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Current Overhead DC - (Measured in Ampere) - Current Overhead DC is defined as the current flowing through the overhead ac supply wire.
Area of Overhead DC Wire - (Measured in Square Meter) - Area of Overhead DC Wire is defined as the cross-sectional area of the wire of an overhead DC supply system.
Line Losses - (Measured in Watt) - Line Losses is defined as the total losses occurring in an Overhead DC line when in use.
Resistivity - (Measured in Ohm Meter) - Resistivity is the measure of how strongly a material opposes the flow of current through them.
Length of Wire DC - (Measured in Meter) - Length of Wire DC is the total length of the wire from one end to other end.

STEP 1: Convert Input(s) to Base Unit

Area of Overhead DC Wire: 0.65 Square Meter --> 0.65 Square Meter No Conversion Required
Line Losses: 0.74 Watt --> 0.74 Watt No Conversion Required
Resistivity: 1.7E-05 Ohm Meter --> 1.7E-05 Ohm Meter No Conversion Required
Length of Wire DC: 12.7 Meter --> 12.7 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I = sqrt(A*P_loss/(ρ*L)) --> sqrt(0.65*0.74/(1.7E-05*12.7))

Evaluating ... ...

I = 47.2004584648917

STEP 3: Convert Result to Output's Unit

47.2004584648917 Ampere --> No Conversion Required

FINAL ANSWER

47.2004584648917 ≈ 47.20046 Ampere <-- Current Overhead DC

(Calculation completed in 00.004 seconds)

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< 8 Current & Voltage Calculators

Maximum Voltage using Volume of Conductor Material (DC 3-Wire)

Go Maximum Voltage Overhead DC = sqrt(((Power Transmitted^2)*(0.3125)*Resistivity*(Length of Wire DC^2))/(Volume of Conductor*Line Losses))

Maximum Power using Constant(DC 3-Wire)

Go Maximum Voltage Overhead DC = sqrt(((Power Transmitted^2)*Resistivity*(Length of Wire DC^2))/(Constant Overhead DC*Line Losses))

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

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

Maximum Voltage using Line Losses(DC 3-Wire)

Go Maximum Voltage Overhead DC = Power Transmitted*sqrt(Resistivity*Length of Wire DC/(Line Losses*2*Area of Overhead DC Wire))

Load Current using Area of X-Section(DC 3-Wire)

Go Current Overhead DC = sqrt(Area of Overhead DC Wire*Line Losses/(Resistivity*Length of Wire DC))

Load Current using Line Losses(DC 3-Wire)

Go Current Overhead DC = sqrt(Line Losses/(2*Resistance Overhead DC))

Load Current(DC 3-Wire)

Go Current Overhead DC = Power Transmitted per Phase/(2*Maximum Voltage Overhead DC)

Maximum Power using Load Current(DC 3-Wire)

Go Maximum Voltage Overhead DC = Power Transmitted/(2*Current Overhead DC)

Load Current using Area of X-Section(DC 3-Wire) Formula

Current Overhead DC = sqrt(Area of Overhead DC Wire*Line Losses/(Resistivity*Length of Wire DC))
I = sqrt(A*P_loss/(ρ*L))

What is a 3 wire dc system?

This is basically a combination of two series-connected unipolar DC systems. It consists of three conductors, two outer conductors (one is positive and the other is negative), and one middle conductor which acts as neutral.

How to Calculate Load Current using Area of X-Section(DC 3-Wire)?

Load Current using Area of X-Section(DC 3-Wire) calculator uses Current Overhead DC = sqrt(Area of Overhead DC Wire*Line Losses/(Resistivity*Length of Wire DC)) to calculate the Current Overhead DC, The Load Current using Area of X-Section(DC 3-wire) formula is defined as the current required by the Three-wire system. Current Overhead DC is denoted by I symbol.

How to calculate Load Current using Area of X-Section(DC 3-Wire) using this online calculator? To use this online calculator for Load Current using Area of X-Section(DC 3-Wire), enter Area of Overhead DC Wire (A), Line Losses (P_loss), Resistivity (ρ) & Length of Wire DC (L) and hit the calculate button. Here is how the Load Current using Area of X-Section(DC 3-Wire) calculation can be explained with given input values -> 47.20046 = sqrt(0.65*0.74/(1.7E-05*12.7)).

FAQ

What is Load Current using Area of X-Section(DC 3-Wire)?

The Load Current using Area of X-Section(DC 3-wire) formula is defined as the current required by the Three-wire system and is represented as I = sqrt(A*P_loss/(ρ*L)) or Current Overhead DC = sqrt(Area of Overhead DC Wire*Line Losses/(Resistivity*Length of Wire DC)). Area of Overhead DC Wire is defined as the cross-sectional area of the wire of an overhead DC supply system, Line Losses is defined as the total losses occurring in an Overhead DC line when in use, Resistivity is the measure of how strongly a material opposes the flow of current through them & Length of Wire DC is the total length of the wire from one end to other end.

How to calculate Load Current using Area of X-Section(DC 3-Wire)?

The Load Current using Area of X-Section(DC 3-wire) formula is defined as the current required by the Three-wire system is calculated using Current Overhead DC = sqrt(Area of Overhead DC Wire*Line Losses/(Resistivity*Length of Wire DC)). To calculate Load Current using Area of X-Section(DC 3-Wire), you need Area of Overhead DC Wire (A), Line Losses (P_loss), Resistivity (ρ) & Length of Wire DC (L). With our tool, you need to enter the respective value for Area of Overhead DC Wire, Line Losses, Resistivity & Length of Wire DC 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 Current Overhead DC?

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

Current Overhead DC = Power Transmitted per Phase/(2*Maximum Voltage Overhead DC)
Current Overhead DC = sqrt(Line Losses/(2*Resistance Overhead DC))

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