Line Losses using Resistance (DC Three-Wire US) Calculator

✖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%
✖Resistance underground DC is defined as the time rate of flow of charge through a cross-sectional area.ⓘ Resistance underground DC [R₁]			+10% -10%
✖Maximum Voltage the highest voltage rating for electrical devices.ⓘ Maximum Voltage [V_m]			+10% -10%

✖Line Losses is defined as the losses that are produced in the line.ⓘ Line Losses using Resistance (DC Three-Wire US) [P_line]

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Formula

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Line Losses using Resistance (DC Three-Wire US)

Formula

`"P"_{"line"} = 2*("P"^2)*"R"_{"1"}/(("V"_{"m"}^2))`

Example

`"250W"=2*(("300W")^2)*"5Ω"/((("60V")^2))`

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Line Losses using Resistance (DC Three-Wire US) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Line Losses = 2*(Power Transmitted^2)*Resistance underground DC/((Maximum Voltage^2))
P_line = 2*(P^2)*R₁/((V_m^2))
This formula uses 4 Variables

Variables Used

Line Losses - (Measured in Watt) - Line Losses is defined as the losses that are produced in the line.
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.
Resistance underground DC - (Measured in Ohm) - Resistance underground DC is defined as the time rate of flow of charge through a cross-sectional area.
Maximum Voltage - (Measured in Volt) - Maximum Voltage the highest voltage rating for electrical devices.

STEP 1: Convert Input(s) to Base Unit

Power Transmitted: 300 Watt --> 300 Watt No Conversion Required
Resistance underground DC: 5 Ohm --> 5 Ohm No Conversion Required
Maximum Voltage: 60 Volt --> 60 Volt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_line = 2*(P^2)*R₁/((V_m^2)) --> 2*(300^2)*5/((60^2))

Evaluating ... ...

P_line = 250

STEP 3: Convert Result to Output's Unit

250 Watt --> No Conversion Required

FINAL ANSWER

250 Watt <-- Line Losses

(Calculation completed in 00.004 seconds)

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< 15 Wire Parameters Calculators

Volume of Conductor Material using Resistance (DC Three-Wire US)

Go Volume Of Conductor = (5*(Power Transmitted^2)*Resistance underground DC*Length of Wire DC*Area of underground dc wire)/(Line Losses*(Maximum Voltage^2))

Length using Volume of Conductor Material(DC Three-Wire US)

Go Length of Wire DC = sqrt(Volume Of Conductor*Line Losses*(Maximum Voltage^2)/((5)*Resistivity*(Power Transmitted^2)))

Length using Area of X-Section (DC Three-Wire US)

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

Area of X-Section (DC Three-Wire US)

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

Line Losses (DC Three-Wire US)

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

Volume of Conductor Material (DC Three-Wire US)

Go Volume Of Conductor = 5*(Power Transmitted^2)*Resistivity*(Length of Wire DC^2)/(Line Losses*(Maximum Voltage^2))

Line Losses using Volume of Conductor Material(DC Three-Wire US)

Go Line Losses = 5*Resistivity*((Power Transmitted*Length of Wire DC)^2)/(Volume Of Conductor*(Maximum Voltage^2))

Line Losses using Area of X-Section (DC Three-Wire US)

Go Line Losses = 2*(Current underground DC^2)*Resistivity*Length of Wire DC/(Area of underground dc wire)

Length using Line Losses (DC Three-Wire US)

Go Length of Wire DC = Area of underground dc wire*Line Losses/(2*Resistivity*(Current underground DC^2))

Volume of Conductor Material using Load Current (DC Three-Wire US)

Go Volume Of Conductor = 5*Resistivity*(Length of Wire DC^2)*(Current underground DC^2)/Line Losses

Line Losses using Resistance (DC Three-Wire US)

Go Line Losses = 2*(Power Transmitted^2)*Resistance underground DC/((Maximum Voltage^2))

Area of X-section using Volume of Conductor Material(DC Three-Wire US)

Go Area of underground dc wire = Volume Of Conductor/(2.5*Length of Wire DC)

Volume of Conductor Material using Area and Length(DC Three-Wire US)

Go Volume Of Conductor = 2.5*Area of underground dc wire*Length of Wire DC

Constant using Volume of Conductor Material(DC Three-Wire US)

Go Constant underground dc = Volume Of Conductor/(1.25)

Volume of Conductor Material using Constant(DC Three-Wire US)

Go Volume Of Conductor = 1.25*Constant underground dc

Line Losses using Resistance (DC Three-Wire US) Formula

Line Losses = 2*(Power Transmitted^2)*Resistance underground DC/((Maximum Voltage^2))
P_line = 2*(P^2)*R₁/((V_m^2))

What is the volume of conductor material in DC Three-Wire underground system?

The volume of conductor material required in this system is 1.25 times that of a 2-wire d.c.system with the one conductor earthed.

How to Calculate Line Losses using Resistance (DC Three-Wire US)?

Line Losses using Resistance (DC Three-Wire US) calculator uses Line Losses = 2*(Power Transmitted^2)*Resistance underground DC/((Maximum Voltage^2)) to calculate the Line Losses, The Line Losses using Resistance (DC Three-Wire US) formula is defined as the loss of electric energy due to the heating of line wires by the current. Line Losses is denoted by P_line symbol.

How to calculate Line Losses using Resistance (DC Three-Wire US) using this online calculator? To use this online calculator for Line Losses using Resistance (DC Three-Wire US), enter Power Transmitted (P), Resistance underground DC (R₁) & Maximum Voltage (V_m) and hit the calculate button. Here is how the Line Losses using Resistance (DC Three-Wire US) calculation can be explained with given input values -> 250 = 2*(300^2)*5/((60^2)).

FAQ

What is Line Losses using Resistance (DC Three-Wire US)?

The Line Losses using Resistance (DC Three-Wire US) formula is defined as the loss of electric energy due to the heating of line wires by the current and is represented as P_line = 2*(P^2)*R₁/((V_m^2)) or Line Losses = 2*(Power Transmitted^2)*Resistance underground DC/((Maximum Voltage^2)). 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, Resistance underground DC is defined as the time rate of flow of charge through a cross-sectional area & Maximum Voltage the highest voltage rating for electrical devices.

How to calculate Line Losses using Resistance (DC Three-Wire US)?

The Line Losses using Resistance (DC Three-Wire US) formula is defined as the loss of electric energy due to the heating of line wires by the current is calculated using Line Losses = 2*(Power Transmitted^2)*Resistance underground DC/((Maximum Voltage^2)). To calculate Line Losses using Resistance (DC Three-Wire US), you need Power Transmitted (P), Resistance underground DC (R₁) & Maximum Voltage (V_m). With our tool, you need to enter the respective value for Power Transmitted, Resistance underground DC & Maximum Voltage 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 Line Losses?

In this formula, Line Losses uses Power Transmitted, Resistance underground DC & Maximum Voltage. We can use 3 other way(s) to calculate the same, which is/are as follows -

Line Losses = 5*Resistivity*((Power Transmitted*Length of Wire DC)^2)/(Volume Of Conductor*(Maximum Voltage^2))
Line Losses = 2*(Power Transmitted^2)*Resistivity*Length of Wire DC/((Maximum Voltage^2)*Area of underground dc wire)
Line Losses = 2*(Current underground DC^2)*Resistivity*Length of Wire DC/(Area of underground dc wire)

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