Transmitted Power using Volume of Conductor Material(DC Three-Wire US) Calculator

✖Line Losses is defined as the losses that are produced in the line.ⓘ Line Losses [P_line]			+10% -10%
✖Volume Of Conductor the 3-dimensional space enclosed by a conductor material.ⓘ Volume Of Conductor [V]			+10% -10%
✖Maximum Voltage the highest voltage rating for electrical devices.ⓘ Maximum Voltage [V_m]			+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 of Wire DC [l]			+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.ⓘ Transmitted Power using Volume of Conductor Material(DC Three-Wire US) [P]

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Formula

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

Formula

`"P" = sqrt("P"_{"line"}*"V"*("V"_{"m"}^2)/(5*"ρ"*("l")^2))`

Example

`"9319.69W"=sqrt("0.6W"*"35m³"*(("60V")^2)/(5*"0.000017Ω*m"*("3.2m")^2))`

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Transmitted Power using Volume of Conductor Material(DC Three-Wire US) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Power Transmitted = sqrt(Line Losses*Volume Of Conductor*(Maximum Voltage^2)/(5*Resistivity*(Length of Wire DC)^2))
P = sqrt(P_line*V*(V_m^2)/(5*ρ*(l)^2))
This formula uses 1 Functions, 6 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

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.
Line Losses - (Measured in Watt) - Line Losses is defined as the losses that are produced in the line.
Volume Of Conductor - (Measured in Cubic Meter) - Volume Of Conductor the 3-dimensional space enclosed by a conductor material.
Maximum Voltage - (Measured in Volt) - Maximum Voltage the highest voltage rating for electrical devices.
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 measurement or extent of something from end to end.

STEP 1: Convert Input(s) to Base Unit

Line Losses: 0.6 Watt --> 0.6 Watt No Conversion Required
Volume Of Conductor: 35 Cubic Meter --> 35 Cubic Meter No Conversion Required
Maximum Voltage: 60 Volt --> 60 Volt No Conversion Required
Resistivity: 1.7E-05 Ohm Meter --> 1.7E-05 Ohm Meter No Conversion Required
Length of Wire DC: 3.2 Meter --> 3.2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = sqrt(P_line*V*(V_m^2)/(5*ρ*(l)^2)) --> sqrt(0.6*35*(60^2)/(5*1.7E-05*(3.2)^2))

Evaluating ... ...

P = 9319.68978276953

STEP 3: Convert Result to Output's Unit

9319.68978276953 Watt --> No Conversion Required

FINAL ANSWER

9319.68978276953 ≈ 9319.69 Watt <-- Power Transmitted

(Calculation completed in 00.004 seconds)

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Home » Engineering » Electrical » Power System » Underground DC Supply » 3-Wire System » Resistance, Resistivity & Power » Transmitted Power using Volume of Conductor Material(DC Three-Wire US)

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Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< 7 Resistance, Resistivity & Power Calculators

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

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

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

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

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

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

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

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

Resistivity using Line Losses (DC Three-Wire US)

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

Power Transmitted using Line Losses (DC Three-Wire US)

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

Resistance using Line Losses (DC Three-Wire US)

Go Resistance underground DC = Line Losses/(2*(Current underground DC^2))

Transmitted Power using Volume of Conductor Material(DC Three-Wire US) Formula

Power Transmitted = sqrt(Line Losses*Volume Of Conductor*(Maximum Voltage^2)/(5*Resistivity*(Length of Wire DC)^2))
P = sqrt(P_line*V*(V_m^2)/(5*ρ*(l)^2))

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 Transmitted Power using Volume of Conductor Material(DC Three-Wire US)?

Transmitted Power using Volume of Conductor Material(DC Three-Wire US) calculator uses Power Transmitted = sqrt(Line Losses*Volume Of Conductor*(Maximum Voltage^2)/(5*Resistivity*(Length of Wire DC)^2)) to calculate the Power Transmitted, The Transmitted Power using Volume of Conductor Material(DC Three-Wire US) formula is defined as the bulk movement of electrical energy from a generating site, such as a power station or power plant, to an electrical substation where voltage is transformed and distributed to consumers or other substations. Power Transmitted is denoted by P symbol.

How to calculate Transmitted Power using Volume of Conductor Material(DC Three-Wire US) using this online calculator? To use this online calculator for Transmitted Power using Volume of Conductor Material(DC Three-Wire US), enter Line Losses (P_line), Volume Of Conductor (V), Maximum Voltage (V_m), Resistivity (ρ) & Length of Wire DC (l) and hit the calculate button. Here is how the Transmitted Power using Volume of Conductor Material(DC Three-Wire US) calculation can be explained with given input values -> 9319.69 = sqrt(0.6*35*(60^2)/(5*1.7E-05*(3.2)^2)).

FAQ

What is Transmitted Power using Volume of Conductor Material(DC Three-Wire US)?

The Transmitted Power using Volume of Conductor Material(DC Three-Wire US) formula is defined as the bulk movement of electrical energy from a generating site, such as a power station or power plant, to an electrical substation where voltage is transformed and distributed to consumers or other substations and is represented as P = sqrt(P_line*V*(V_m^2)/(5*ρ*(l)^2)) or Power Transmitted = sqrt(Line Losses*Volume Of Conductor*(Maximum Voltage^2)/(5*Resistivity*(Length of Wire DC)^2)). Line Losses is defined as the losses that are produced in the line, Volume Of Conductor the 3-dimensional space enclosed by a conductor material, Maximum Voltage the highest voltage rating for electrical devices, Resistivity is the measure of how strongly a material opposes the flow of current through them & Length of Wire DC is the measurement or extent of something from end to end.

How to calculate Transmitted Power using Volume of Conductor Material(DC Three-Wire US)?

The Transmitted Power using Volume of Conductor Material(DC Three-Wire US) formula is defined as the bulk movement of electrical energy from a generating site, such as a power station or power plant, to an electrical substation where voltage is transformed and distributed to consumers or other substations is calculated using Power Transmitted = sqrt(Line Losses*Volume Of Conductor*(Maximum Voltage^2)/(5*Resistivity*(Length of Wire DC)^2)). To calculate Transmitted Power using Volume of Conductor Material(DC Three-Wire US), you need Line Losses (P_line), Volume Of Conductor (V), Maximum Voltage (V_m), Resistivity (ρ) & Length of Wire DC (l). With our tool, you need to enter the respective value for Line Losses, Volume Of Conductor, Maximum Voltage, 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 Power Transmitted?

In this formula, Power Transmitted uses Line Losses, Volume Of Conductor, Maximum Voltage, Resistivity & Length of Wire DC. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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