RMS Voltage using Area of X-Section (2-Wire Mid-Point Earthed DC 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%
✖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%
✖Line Losses is defined as the losses that are produced in the line.ⓘ Line Losses [P_line]			+10% -10%
✖The Area of underground dc wire is the amount of two-dimensional space taken up by an object.ⓘ Area of underground dc wire [A]			+10% -10%

✖Root Mean Square Voltage is the square root of the time average of the voltage squared.ⓘ RMS Voltage using Area of X-Section (2-Wire Mid-Point Earthed DC US) [V_rms]

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RMS Voltage using Area of X-Section (2-Wire Mid-Point Earthed DC US)

Formula

`"V"_{"rms"} = ("P")*sqrt("ρ"*"l"/("P"_{"line"}*"A"))`

Example

`"5.049752V"=("300W")*sqrt("0.000017Ω*m"*"3.2m"/("0.6W"*"0.32m²"))`

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RMS Voltage using Area of X-Section (2-Wire Mid-Point Earthed DC US) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Root Mean Square Voltage = (Power Transmitted)*sqrt(Resistivity*Length of Wire DC/(Line Losses*Area of underground dc wire))
V_rms = (P)*sqrt(ρ*l/(P_line*A))
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

Root Mean Square Voltage - (Measured in Volt) - Root Mean Square Voltage is the square root of the time average of the voltage squared.
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.
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.
Line Losses - (Measured in Watt) - Line Losses is defined as the losses that are produced in the line.
Area of underground dc wire - (Measured in Square Meter) - The Area of underground dc wire is the amount of two-dimensional space taken up by an object.

STEP 1: Convert Input(s) to Base Unit

Power Transmitted: 300 Watt --> 300 Watt 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
Line Losses: 0.6 Watt --> 0.6 Watt No Conversion Required
Area of underground dc wire: 0.32 Square Meter --> 0.32 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_rms = (P)*sqrt(ρ*l/(P_line*A)) --> (300)*sqrt(1.7E-05*3.2/(0.6*0.32))

Evaluating ... ...

V_rms = 5.04975246918104

STEP 3: Convert Result to Output's Unit

5.04975246918104 Volt --> No Conversion Required

FINAL ANSWER

5.04975246918104 ≈ 5.049752 Volt <-- Root Mean Square Voltage

(Calculation completed in 00.004 seconds)

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Home » Engineering » Electrical » Power System » Underground DC Supply » 2-Wire Mid-Point Earthed System » Current & Voltage » RMS Voltage using Area of X-Section (2-Wire Mid-Point Earthed DC US)

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< 5 Current & Voltage Calculators

RMS Voltage using Area of X-Section (2-Wire Mid-Point Earthed DC US)

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

Maximum Voltage using Area of X-Section (2-Wire Mid-Point Earthed DC US)

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

Maximum Voltage using Volume of Conductor Material (2-Wire Mid-Point DC US)

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

Maximum Voltage using Load Current (2-Wire Mid-Point DC US)

Go Maximum Voltage = (Power Transmitted)/Current underground DC

Load Current (2-Wire Mid-Point DC US)

Go Current underground DC = Power Transmitted/Maximum Voltage

RMS Voltage using Area of X-Section (2-Wire Mid-Point Earthed DC US) Formula

Root Mean Square Voltage = (Power Transmitted)*sqrt(Resistivity*Length of Wire DC/(Line Losses*Area of underground dc wire))
V_rms = (P)*sqrt(ρ*l/(P_line*A))

What is the rms value of voltage?

The value of an AC voltage is continually changing from zero up to the positive peak, through zero to the negative peak, and back to zero again. The RMS value is the effective value of a varying voltage or current. It is the equivalent steady DC (constant) value that gives the same effect.

How to Calculate RMS Voltage using Area of X-Section (2-Wire Mid-Point Earthed DC US)?

RMS Voltage using Area of X-Section (2-Wire Mid-Point Earthed DC US) calculator uses Root Mean Square Voltage = (Power Transmitted)*sqrt(Resistivity*Length of Wire DC/(Line Losses*Area of underground dc wire)) to calculate the Root Mean Square Voltage, The RMS Voltage using Area of X-Section (2-wire Mid-point earthed DC US) formula is defined as the square root of the time average of the voltage squared. Root Mean Square Voltage is denoted by V_rms symbol.

How to calculate RMS Voltage using Area of X-Section (2-Wire Mid-Point Earthed DC US) using this online calculator? To use this online calculator for RMS Voltage using Area of X-Section (2-Wire Mid-Point Earthed DC US), enter Power Transmitted (P), Resistivity (ρ), Length of Wire DC (l), Line Losses (P_line) & Area of underground dc wire (A) and hit the calculate button. Here is how the RMS Voltage using Area of X-Section (2-Wire Mid-Point Earthed DC US) calculation can be explained with given input values -> 5.049752 = (300)*sqrt(1.7E-05*3.2/(0.6*0.32)).

FAQ

What is RMS Voltage using Area of X-Section (2-Wire Mid-Point Earthed DC US)?

The RMS Voltage using Area of X-Section (2-wire Mid-point earthed DC US) formula is defined as the square root of the time average of the voltage squared and is represented as V_rms = (P)*sqrt(ρ*l/(P_line*A)) or Root Mean Square Voltage = (Power Transmitted)*sqrt(Resistivity*Length of Wire DC/(Line Losses*Area of underground dc wire)). 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, 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, Line Losses is defined as the losses that are produced in the line & The Area of underground dc wire is the amount of two-dimensional space taken up by an object.

How to calculate RMS Voltage using Area of X-Section (2-Wire Mid-Point Earthed DC US)?

The RMS Voltage using Area of X-Section (2-wire Mid-point earthed DC US) formula is defined as the square root of the time average of the voltage squared is calculated using Root Mean Square Voltage = (Power Transmitted)*sqrt(Resistivity*Length of Wire DC/(Line Losses*Area of underground dc wire)). To calculate RMS Voltage using Area of X-Section (2-Wire Mid-Point Earthed DC US), you need Power Transmitted (P), Resistivity (ρ), Length of Wire DC (l), Line Losses (P_line) & Area of underground dc wire (A). With our tool, you need to enter the respective value for Power Transmitted, Resistivity, Length of Wire DC, Line Losses & Area of underground dc wire and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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