Load Current using Line Losses(DC 3-Wire) Calculator

✖Line Losses is defined as the total losses occurring in an Overhead DC line when in use.ⓘ Line Losses [P_loss]			+10% -10%
✖Resistance Overhead DC is defined as the property of the wire or line that opposes the flow of current through it.ⓘ Resistance Overhead DC [R]			+10% -10%

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

⎘ Copy

👎

Formula

✖

Load Current using Line Losses(DC 3-Wire)

Formula

`"I" = sqrt("P"_{"loss"}/(2*"R"))`

Example

`"0.257044A"=sqrt("0.74W"/(2*"5.6Ω"))`

Calculator

LaTeX

Reset

👍

Download Power System Formula PDF

Load Current using Line Losses(DC 3-Wire) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Current Overhead DC = sqrt(Line Losses/(2*Resistance Overhead DC))
I = sqrt(P_loss/(2*R))
This formula uses 1 Functions, 3 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.
Line Losses - (Measured in Watt) - Line Losses is defined as the total losses occurring in an Overhead DC line when in use.
Resistance Overhead DC - (Measured in Ohm) - Resistance Overhead DC is defined as the property of the wire or line that opposes the flow of current through it.

STEP 1: Convert Input(s) to Base Unit

Line Losses: 0.74 Watt --> 0.74 Watt No Conversion Required
Resistance Overhead DC: 5.6 Ohm --> 5.6 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I = sqrt(P_loss/(2*R)) --> sqrt(0.74/(2*5.6))

Evaluating ... ...

I = 0.257043631649237

STEP 3: Convert Result to Output's Unit

0.257043631649237 Ampere --> No Conversion Required

FINAL ANSWER

0.257043631649237 ≈ 0.257044 Ampere <-- Current Overhead DC

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Electrical » Power System » Overhead DC Supply » 3-Wire System » Current & Voltage » Load Current using Line Losses(DC 3-Wire)

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 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 Line Losses(DC 3-Wire) Formula

Current Overhead DC = sqrt(Line Losses/(2*Resistance Overhead DC))
I = sqrt(P_loss/(2*R))

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 Line Losses(DC 3-Wire)?

Load Current using Line Losses(DC 3-Wire) calculator uses Current Overhead DC = sqrt(Line Losses/(2*Resistance Overhead DC)) to calculate the Current Overhead DC, The Load Current using Line Losses(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 Line Losses(DC 3-Wire) using this online calculator? To use this online calculator for Load Current using Line Losses(DC 3-Wire), enter Line Losses (P_loss) & Resistance Overhead DC (R) and hit the calculate button. Here is how the Load Current using Line Losses(DC 3-Wire) calculation can be explained with given input values -> 0.257044 = sqrt(0.74/(2*5.6)).

FAQ

What is Load Current using Line Losses(DC 3-Wire)?

The Load Current using Line Losses(DC 3-wire) formula is defined as the current required by the Three-wire system and is represented as I = sqrt(P_loss/(2*R)) or Current Overhead DC = sqrt(Line Losses/(2*Resistance Overhead DC)). Line Losses is defined as the total losses occurring in an Overhead DC line when in use & Resistance Overhead DC is defined as the property of the wire or line that opposes the flow of current through it.

How to calculate Load Current using Line Losses(DC 3-Wire)?

The Load Current using Line Losses(DC 3-wire) formula is defined as the current required by the Three-wire system is calculated using Current Overhead DC = sqrt(Line Losses/(2*Resistance Overhead DC)). To calculate Load Current using Line Losses(DC 3-Wire), you need Line Losses (P_loss) & Resistance Overhead DC (R). With our tool, you need to enter the respective value for Line Losses & Resistance Overhead 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 Line Losses & Resistance Overhead 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(Area of Overhead DC Wire*Line Losses/(Resistivity*Length of Wire DC))

Home

FREE PDFs

🔍 Search