RMS Voltage using Constant (1-Phase 2-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%
✖Length of Underground AC Wire is the total length of the wire from one end to other end.ⓘ Length of Underground AC Wire [L]			+10% -10%
✖Resistivity is the measure of how strongly a material opposes the flow of current through them.ⓘ Resistivity [ρ]			+10% -10%
✖Line Losses is defined as the total losses occurring in an Underground AC line when in use.ⓘ Line Losses [P_loss]			+10% -10%
✖Constant Underground AC is defined as the constant of line of a Overhead supply system.ⓘ Constant Underground AC [K]			+10% -10%

✖Root Mean Square Voltage is the square root of the time average of the voltage squared.ⓘ RMS Voltage using Constant (1-Phase 2-Wire US) [V_rms]

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RMS Voltage using Constant (1-Phase 2-Wire US) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Root Mean Square Voltage = 2*Power Transmitted*Length of Underground AC Wire*sqrt(2*Resistivity/(Line Losses*Constant Underground AC))
V_rms = 2*P*L*sqrt(2*ρ/(P_loss*K))
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.
Length of Underground AC Wire - (Measured in Meter) - Length of Underground AC Wire is the total length of the wire from one end to other end.
Resistivity - (Measured in Ohm Meter) - Resistivity is the measure of how strongly a material opposes the flow of current through them.
Line Losses - (Measured in Watt) - Line Losses is defined as the total losses occurring in an Underground AC line when in use.
Constant Underground AC - Constant Underground AC is defined as the constant of line of a Overhead supply system.

STEP 1: Convert Input(s) to Base Unit

Power Transmitted: 300 Watt --> 300 Watt No Conversion Required
Length of Underground AC Wire: 24 Meter --> 24 Meter No Conversion Required
Resistivity: 1.7E-05 Ohm Meter --> 1.7E-05 Ohm Meter No Conversion Required
Line Losses: 2.67 Watt --> 2.67 Watt No Conversion Required
Constant Underground AC: 0.87 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_rms = 2*P*L*sqrt(2*ρ/(P_loss*K)) --> 2*300*24*sqrt(2*1.7E-05/(2.67*0.87))

Evaluating ... ...

V_rms = 55.0917659308758

STEP 3: Convert Result to Output's Unit

55.0917659308758 Volt --> No Conversion Required

FINAL ANSWER

55.0917659308758 ≈ 55.09177 Volt <-- Root Mean Square Voltage

(Calculation completed in 00.004 seconds)

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< Current and Voltage Calculators

Maximum Voltage using Area of X-Section (1-Phase 2-Wire US)

LaTeX Go Maximum Voltage Underground AC = sqrt((4*Length of Underground AC Wire*Resistivity*(Power Transmitted^2))/(Area of Underground AC Wire*Line Losses*(cos(Phase Difference))^2))

Maximum Voltage using Volume of Conductor Material (1-Phase 2-Wire US)

LaTeX Go Maximum Voltage Underground AC = sqrt(8*Resistivity*(Power Transmitted*Length of Underground AC Wire)^2/(Line Losses*Volume Of Conductor*(cos(Phase Difference))^2))

Load Current (1-Phase 2-Wire US)

LaTeX Go Current Underground AC = Power Transmitted*sqrt(2)/(Maximum Voltage Underground AC*cos(Phase Difference))

RMS Voltage(1-Phase 2-Wire US)

LaTeX Go Root Mean Square Voltage = Maximum Voltage Underground AC/sqrt(2)

RMS Voltage using Constant (1-Phase 2-Wire US) Formula

LaTeX Go

Root Mean Square Voltage = 2*Power Transmitted*Length of Underground AC Wire*sqrt(2*Resistivity/(Line Losses*Constant Underground AC))
V_rms = 2*P*L*sqrt(2*ρ/(P_loss*K))

What is the value of maximum voltage and volume of conductor material in 1-phase 2-wire system?

The volume of conductor material required in this system is 2/cos²θ times that of 2-wire d.c.system with the one conductor earthed. The maximum voltage between conductors is v_m so that r.m.s. value of voltage between them is v_m/√2.

How to Calculate RMS Voltage using Constant (1-Phase 2-Wire US)?

RMS Voltage using Constant (1-Phase 2-Wire US) calculator uses Root Mean Square Voltage = 2*Power Transmitted*Length of Underground AC Wire*sqrt(2*Resistivity/(Line Losses*Constant Underground AC)) to calculate the Root Mean Square Voltage, The RMS Voltage using Constant (1-Phase 2-Wire 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 Constant (1-Phase 2-Wire US) using this online calculator? To use this online calculator for RMS Voltage using Constant (1-Phase 2-Wire US), enter Power Transmitted (P), Length of Underground AC Wire (L), Resistivity (ρ), Line Losses (P_loss) & Constant Underground AC (K) and hit the calculate button. Here is how the RMS Voltage using Constant (1-Phase 2-Wire US) calculation can be explained with given input values -> 55.09177 = 2*300*24*sqrt(2*1.7E-05/(2.67*0.87)).

FAQ

What is RMS Voltage using Constant (1-Phase 2-Wire US)?

The RMS Voltage using Constant (1-Phase 2-Wire US) formula is defined as the square root of the time average of the voltage squared and is represented as V_rms = 2*P*L*sqrt(2*ρ/(P_loss*K)) or Root Mean Square Voltage = 2*Power Transmitted*Length of Underground AC Wire*sqrt(2*Resistivity/(Line Losses*Constant Underground AC)). 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 Underground AC Wire is the total length of the wire from one end to other end, Resistivity is the measure of how strongly a material opposes the flow of current through them, Line Losses is defined as the total losses occurring in an Underground AC line when in use & Constant Underground AC is defined as the constant of line of a Overhead supply system.

How to calculate RMS Voltage using Constant (1-Phase 2-Wire US)?

The RMS Voltage using Constant (1-Phase 2-Wire US) formula is defined as the square root of the time average of the voltage squared is calculated using Root Mean Square Voltage = 2*Power Transmitted*Length of Underground AC Wire*sqrt(2*Resistivity/(Line Losses*Constant Underground AC)). To calculate RMS Voltage using Constant (1-Phase 2-Wire US), you need Power Transmitted (P), Length of Underground AC Wire (L), Resistivity (ρ), Line Losses (P_loss) & Constant Underground AC (K). With our tool, you need to enter the respective value for Power Transmitted, Length of Underground AC Wire, Resistivity, Line Losses & Constant Underground AC 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 Root Mean Square Voltage?

In this formula, Root Mean Square Voltage uses Power Transmitted, Length of Underground AC Wire, Resistivity, Line Losses & Constant Underground AC. We can use 3 other way(s) to calculate the same, which is/are as follows -

Root Mean Square Voltage = Maximum Voltage Underground AC/sqrt(2)
Root Mean Square Voltage = sqrt((2*Length of Underground AC Wire*Resistivity*(Power Transmitted^2))/(Area of Underground AC Wire*Line Losses*((cos(Phase Difference))^2)))
Root Mean Square Voltage = sqrt(4*Resistivity*(Power Transmitted*Length of Underground AC Wire)^2/(Line Losses*(cos(Phase Difference))^2*Volume Of Conductor))

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