Maximum Voltage using Volume of Conductor Material(DC Three-Wire US) Calculator

✖Resistivity is the measure of how strongly a material opposes the flow of current through them.ⓘ Resistivity [ρ]			+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%
✖Length of Wire DC is the measurement or extent of something from end to end.ⓘ Length of Wire DC [l]			+10% -10%
✖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 using Volume of Conductor Material(DC Three-Wire US) [V_m]

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Formula

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

Formula

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

Example

`"1.931395V"=sqrt(5*"0.000017Ω*m"*("300W"*"3.2m")^2/("0.6W"*"35m³"))`

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Maximum Voltage using Volume of Conductor Material(DC Three-Wire US) Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.
Length of Wire DC - (Measured in Meter) - Length of Wire DC is the measurement or extent of something from end to end.
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.

STEP 1: Convert Input(s) to Base Unit

Resistivity: 1.7E-05 Ohm Meter --> 1.7E-05 Ohm Meter No Conversion Required
Power Transmitted: 300 Watt --> 300 Watt No Conversion Required
Length of Wire DC: 3.2 Meter --> 3.2 Meter No Conversion Required
Line Losses: 0.6 Watt --> 0.6 Watt No Conversion Required
Volume Of Conductor: 35 Cubic Meter --> 35 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_m = sqrt(5*ρ*(P*l)^2/(P_line*V)) --> sqrt(5*1.7E-05*(300*3.2)^2/(0.6*35))

Evaluating ... ...

V_m = 1.9313947587911

STEP 3: Convert Result to Output's Unit

1.9313947587911 Volt --> No Conversion Required

FINAL ANSWER

1.9313947587911 ≈ 1.931395 Volt <-- Maximum Voltage

(Calculation completed in 00.004 seconds)

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Home » Engineering » Electrical » Power System » Underground DC Supply » 3-Wire System » Current & Voltage » Maximum Voltage using Volume of Conductor Material(DC Three-Wire US)

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< 14 Current & Voltage Calculators

RMS Voltage using Area of X-Section (3-Phase 3-Wire US)

Go Root Mean Square Voltage = (2*Power Transmitted/cos(Theta))*sqrt(Resistivity*Length of Wire DC/(Line Losses*Area of underground dc wire))

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

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

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

Go Maximum Voltage = sqrt(6*Resistivity*(Power Transmitted*Length of Wire DC)^2/(Line Losses*Volume Of Conductor*(cos(Theta))^2))

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

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

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

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

Maximum Voltage using Load Current Per Phase (3-Phase 3-Wire US)

Go Maximum Voltage = (sqrt(6)*Power Transmitted)/(3*Current underground DC*cos(Theta))

Load Current Per Phase (3-Phase 3-Wire US)

Go Current underground DC = (sqrt(6)*Power Transmitted)/(3*Maximum Voltage*cos(Theta))

Maximum Voltage using Line Losses (DC Three-Wire US)

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

RMS Voltage using Load Current Per Phase (3-Phase 3-Wire US)

Go Root Mean Square Voltage = Power Transmitted/(3*Current underground DC*cos(Theta))

Load Current using Line Losses (DC Three-Wire US)

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

Current using Line Losses (3-Phase 3-Wire US)

Go Current underground DC = sqrt(Line Losses/(3*Resistance underground DC))

RMS Voltage Per Phase (3-Phase 3-Wire US)

Go Root Mean Square Voltage = Maximum Voltage/(sqrt(6))

Maximum Voltage using RMS Voltage Per Phase (3-Phase 3-Wire US)

Go Maximum Voltage = sqrt(6)*Root Mean Square Voltage

Maximum Voltage between Each Phase and Neutral (3-Phase 3-Wire US)

Go Maximum phase voltage = Maximum Voltage/sqrt(3)

Maximum Voltage using Volume of Conductor Material(DC Three-Wire US) Formula

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

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 Maximum Voltage using Volume of Conductor Material(DC Three-Wire US)?

Maximum Voltage using Volume of Conductor Material(DC Three-Wire US) calculator uses Maximum Voltage = sqrt(5*Resistivity*(Power Transmitted*Length of Wire DC)^2/(Line Losses*Volume Of Conductor)) to calculate the Maximum Voltage, The Maximum Voltage using Volume of Conductor Material(DC Three-Wire US) formula is defined as the highest voltage rating for electrical devices and equipment that can be used with the voltage definition. Maximum Voltage is denoted by V_m symbol.

How to calculate Maximum Voltage using Volume of Conductor Material(DC Three-Wire US) using this online calculator? To use this online calculator for Maximum Voltage using Volume of Conductor Material(DC Three-Wire US), enter Resistivity (ρ), Power Transmitted (P), Length of Wire DC (l), Line Losses (P_line) & Volume Of Conductor (V) and hit the calculate button. Here is how the Maximum Voltage using Volume of Conductor Material(DC Three-Wire US) calculation can be explained with given input values -> 1.931395 = sqrt(5*1.7E-05*(300*3.2)^2/(0.6*35)).

FAQ

What is Maximum Voltage using Volume of Conductor Material(DC Three-Wire US)?

The Maximum Voltage using Volume of Conductor Material(DC Three-Wire US) formula is defined as the highest voltage rating for electrical devices and equipment that can be used with the voltage definition and is represented as V_m = sqrt(5*ρ*(P*l)^2/(P_line*V)) or Maximum Voltage = sqrt(5*Resistivity*(Power Transmitted*Length of Wire DC)^2/(Line Losses*Volume Of Conductor)). Resistivity is the measure of how strongly a material opposes the flow of current through them, 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, Length of Wire DC is the measurement or extent of something from end to end, 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.

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

The Maximum Voltage using Volume of Conductor Material(DC Three-Wire US) formula is defined as the highest voltage rating for electrical devices and equipment that can be used with the voltage definition is calculated using Maximum Voltage = sqrt(5*Resistivity*(Power Transmitted*Length of Wire DC)^2/(Line Losses*Volume Of Conductor)). To calculate Maximum Voltage using Volume of Conductor Material(DC Three-Wire US), you need Resistivity (ρ), Power Transmitted (P), Length of Wire DC (l), Line Losses (P_line) & Volume Of Conductor (V). With our tool, you need to enter the respective value for Resistivity, Power Transmitted, Length of Wire DC, Line Losses & Volume Of Conductor 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 Maximum Voltage?

In this formula, Maximum Voltage uses Resistivity, Power Transmitted, Length of Wire DC, Line Losses & Volume Of Conductor. We can use 6 other way(s) to calculate the same, which is/are as follows -

Maximum Voltage = sqrt(2*(Power Transmitted^2)*Resistivity*Length of Wire DC/(Line Losses*Area of underground dc wire))
Maximum Voltage = sqrt(2*(Power Transmitted^2)*Resistance underground DC/(Line Losses))
Maximum Voltage = sqrt(6*Resistivity*(Power Transmitted*Length of Wire DC)^2/(Line Losses*Volume Of Conductor*(cos(Theta))^2))
Maximum Voltage = sqrt(6)*Root Mean Square Voltage
Maximum Voltage = (sqrt(6)*Power Transmitted)/(3*Current underground DC*cos(Theta))
Maximum Voltage = (Power Transmitted/cos(Theta))*sqrt(2*Resistivity*Length of Wire DC/(Line Losses*Area of underground dc wire))

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