RMS Voltage(1-Phase 2-Wire US) Calculator

✖Maximum Voltage Underground AC is defined as the peak amplitude of the AC voltage supplied to the line or wire.ⓘ Maximum Voltage Underground AC [V_m]

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

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

STEP 0: Pre-Calculation Summary

Formula Used

Root Mean Square Voltage = Maximum Voltage Underground AC/sqrt(2)
V_rms = V_m/sqrt(2)
This formula uses 1 Functions, 2 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.
Maximum Voltage Underground AC - (Measured in Volt) - Maximum Voltage Underground AC is defined as the peak amplitude of the AC voltage supplied to the line or wire.

STEP 1: Convert Input(s) to Base Unit

Maximum Voltage Underground AC: 230 Volt --> 230 Volt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_rms = V_m/sqrt(2) --> 230/sqrt(2)

Evaluating ... ...

V_rms = 162.634559672906

STEP 3: Convert Result to Output's Unit

162.634559672906 Volt --> No Conversion Required

FINAL ANSWER

162.634559672906 ≈ 162.6346 Volt <-- Root Mean Square Voltage

(Calculation completed in 00.004 seconds)

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Home » Engineering » Electrical » Power System » Underground AC Supply » 1 Φ 2 Wire System » Current and Voltage » RMS Voltage(1-Phase 2-Wire US)

Credits

Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

Urvi Rathod has created this Calculator and 1500+ more calculators!

Verified by Shobhit Dimri

Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

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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(1-Phase 2-Wire US) Formula

LaTeX Go

Root Mean Square Voltage = Maximum Voltage Underground AC/sqrt(2)
V_rms = V_m/sqrt(2)

What is the value of max voltage and volume in 1-phase 2-wire underground 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(1-Phase 2-Wire US)?

RMS Voltage(1-Phase 2-Wire US) calculator uses Root Mean Square Voltage = Maximum Voltage Underground AC/sqrt(2) to calculate the Root Mean Square Voltage, The RMS Voltage(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(1-Phase 2-Wire US) using this online calculator? To use this online calculator for RMS Voltage(1-Phase 2-Wire US), enter Maximum Voltage Underground AC (V_m) and hit the calculate button. Here is how the RMS Voltage(1-Phase 2-Wire US) calculation can be explained with given input values -> 162.6346 = 230/sqrt(2).

FAQ

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

The RMS Voltage(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 = V_m/sqrt(2) or Root Mean Square Voltage = Maximum Voltage Underground AC/sqrt(2). Maximum Voltage Underground AC is defined as the peak amplitude of the AC voltage supplied to the line or wire.

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

The RMS Voltage(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 = Maximum Voltage Underground AC/sqrt(2). To calculate RMS Voltage(1-Phase 2-Wire US), you need Maximum Voltage Underground AC (V_m). With our tool, you need to enter the respective value for Maximum Voltage 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 Maximum Voltage Underground AC. We can use 3 other way(s) to calculate the same, which is/are as follows -

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))
Root Mean Square Voltage = Power Transmitted/(Current Underground AC*cos(Phase Difference))

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