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## Credits

Vishwakarma Government Engineering College (VGEC), Ahmedabad
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## RMS Voltage Using Area Of X-Section (1-phase 2-wire Mid-point Earthed) Solution

STEP 0: Pre-Calculation Summary
Formula Used
rms_voltage = (Power Transmitted/ cos(Theta))*sqrt(2*Resistivity*Length/(Area Of 1-Φ 2-wire mid-point system*Line Losses))
Vrms = (P/ cos(ϑ))*sqrt(2*ρ*l/(a5*W))
This formula uses 2 Functions, 6 Variables
Functions Used
cos - Trigonometric cosine function, cos(Angle)
sqrt - Squre root function, sqrt(Number)
Variables Used
Power Transmitted - The Power Transmitted Value through a shaft. (Measured in Watt)
Theta - Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint. (Measured in Degree)
Resistivity - Resistivity is the measure of how strongly a material opposes the flow of current through them. (Measured in Ohm Meter)
Length - Length is the measurement or extent of something from end to end. (Measured in Meter)
Area Of 1-Φ 2-wire mid-point system - The Area Of 1-Φ 2-wire mid-point system is the amount of two-dimensional space taken up by an object. (Measured in Square Meter)
Line Losses - Line Losses is defined as the losses that are produced in the line. (Measured in Watt)
STEP 1: Convert Input(s) to Base Unit
Power Transmitted: 10 Watt --> 10 Watt No Conversion Required
Theta: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
Resistivity: 1.7E-05 Ohm Meter --> 1.7E-05 Ohm Meter No Conversion Required
Length: 3 Meter --> 3 Meter No Conversion Required
Area Of 1-Φ 2-wire mid-point system: 6 Square Meter --> 6 Square Meter No Conversion Required
Line Losses: 0.6 Watt --> 0.6 Watt No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vrms = (P/ cos(ϑ))*sqrt(2*ρ*l/(a5*W)) --> (10/ cos(0.5235987755982))*sqrt(2*1.7E-05*3/(6*0.6))
Evaluating ... ...
Vrms = 0.0614636297152859
STEP 3: Convert Result to Output's Unit
0.0614636297152859 Volt --> No Conversion Required
0.0614636297152859 Volt <-- Root mean square voltage
(Calculation completed in 00.022 seconds)

## < 9 Area Of X-Section Calculators

Angle Using Area Of X-Section (1-phase 2-wire Mid-point Earthed)
theta = acos(sqrt(4*(Power Transmitted^2)*Resistivity*Length/(Area Of 1-Φ 2-wire mid-point system*Line Losses*(Maximum Voltage^2)))) Go
Power Transmitted Using Area Of X-Section (1-phase 2-wire Mid-point Earthed)
transmitted_power = sqrt(Area Of 1-Φ 2-wire mid-point system*Line Losses*(Maximum Voltage*cos(Theta))^2/(4*Resistivity*Length)) Go
Maximum Voltage Using Area Of X-Section (1-phase 2-wire Mid-point Earthed)
maximum_voltage = (2*Power Transmitted/ cos(Theta))*sqrt(Resistivity*Length/(Area Of 1-Φ 2-wire mid-point system*Line Losses)) Go
RMS Voltage Using Area Of X-Section (1-phase 2-wire Mid-point Earthed)
rms_voltage = (Power Transmitted/ cos(Theta))*sqrt(2*Resistivity*Length/(Area Of 1-Φ 2-wire mid-point system*Line Losses)) Go
Power Factor Using Area Of X-Section (1-phase 2-wire Mid-point Earthed)
power_factor = sqrt(4*(Power Transmitted^2)*Resistivity*Length/(Area Of 1-Φ 2-wire mid-point system*Line Losses*(Maximum Voltage^2))) Go
Line Losses Using Area Of X-Section (1-phase 2-wire Mid-point Earthed)
line_losses = 4*Resistivity*Length*(Power Transmitted^2)/(Area Of 1-Φ 2-wire mid-point system*(Maximum Voltage^2)*(cos(Theta)^2)) Go
Resistivity Using Area Of X-Section (1-phase 2-wire Mid-point Earthed)
resistivity = Area Of 1-Φ 2-wire mid-point system*Line Losses*((Maximum Voltage*cos(Theta))^2)/(4*(Power Transmitted^2)*Length) Go
Length Using Area Of X-Section (1-phase 2-wire Mid-point Earthed)
length = Area Of 1-Φ 2-wire mid-point system*Line Losses*((Maximum Voltage*cos(Theta))^2)/(4*(Power Transmitted^2)*Resistivity) Go
Area Of X-Section (1-phase 2-wire Mid-point Earthed)
area5 = 4*Resistivity*Length*(Power Transmitted^2)/(Line Losses*((Maximum Voltage*cos(Theta))^2)) Go

### RMS Voltage Using Area Of X-Section (1-phase 2-wire Mid-point Earthed) Formula

rms_voltage = (Power Transmitted/ cos(Theta))*sqrt(2*Resistivity*Length/(Area Of 1-Φ 2-wire mid-point system*Line Losses))
Vrms = (P/ cos(ϑ))*sqrt(2*ρ*l/(a5*W))

## What is the value of volume of conductor material in this US?

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.

## How to Calculate RMS Voltage Using Area Of X-Section (1-phase 2-wire Mid-point Earthed)?

RMS Voltage Using Area Of X-Section (1-phase 2-wire Mid-point Earthed) calculator uses rms_voltage = (Power Transmitted/ cos(Theta))*sqrt(2*Resistivity*Length/(Area Of 1-Φ 2-wire mid-point system*Line Losses)) to calculate the Root mean square voltage, The RMS Voltage Using Area Of X-Section (1-phase 2-wire Mid-point Earthed) formula is defined as the square root of the time average of the voltage squared. Root mean square voltage and is denoted by Vrms symbol.

How to calculate RMS Voltage Using Area Of X-Section (1-phase 2-wire Mid-point Earthed) using this online calculator? To use this online calculator for RMS Voltage Using Area Of X-Section (1-phase 2-wire Mid-point Earthed), enter Power Transmitted (P), Theta (ϑ), Resistivity (ρ), Length (l), Area Of 1-Φ 2-wire mid-point system (a5) and Line Losses (W) and hit the calculate button. Here is how the RMS Voltage Using Area Of X-Section (1-phase 2-wire Mid-point Earthed) calculation can be explained with given input values -> 0.061464 = (10/ cos(0.5235987755982))*sqrt(2*1.7E-05*3/(6*0.6)).

### FAQ

What is RMS Voltage Using Area Of X-Section (1-phase 2-wire Mid-point Earthed)?
The RMS Voltage Using Area Of X-Section (1-phase 2-wire Mid-point Earthed) formula is defined as the square root of the time average of the voltage squared and is represented as Vrms = (P/ cos(ϑ))*sqrt(2*ρ*l/(a5*W)) or rms_voltage = (Power Transmitted/ cos(Theta))*sqrt(2*Resistivity*Length/(Area Of 1-Φ 2-wire mid-point system*Line Losses)). The Power Transmitted Value through a shaft, Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint, Resistivity is the measure of how strongly a material opposes the flow of current through them, Length is the measurement or extent of something from end to end, The Area Of 1-Φ 2-wire mid-point system is the amount of two-dimensional space taken up by an object and Line Losses is defined as the losses that are produced in the line.
How to calculate RMS Voltage Using Area Of X-Section (1-phase 2-wire Mid-point Earthed)?
The RMS Voltage Using Area Of X-Section (1-phase 2-wire Mid-point Earthed) formula is defined as the square root of the time average of the voltage squared is calculated using rms_voltage = (Power Transmitted/ cos(Theta))*sqrt(2*Resistivity*Length/(Area Of 1-Φ 2-wire mid-point system*Line Losses)). To calculate RMS Voltage Using Area Of X-Section (1-phase 2-wire Mid-point Earthed), you need Power Transmitted (P), Theta (ϑ), Resistivity (ρ), Length (l), Area Of 1-Φ 2-wire mid-point system (a5) and Line Losses (W). With our tool, you need to enter the respective value for Power Transmitted, Theta, Resistivity, Length, Area Of 1-Φ 2-wire mid-point system and Line Losses 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, Theta, Resistivity, Length, Area Of 1-Φ 2-wire mid-point system and Line Losses. We can use 9 other way(s) to calculate the same, which is/are as follows -
• area5 = 4*Resistivity*Length*(Power Transmitted^2)/(Line Losses*((Maximum Voltage*cos(Theta))^2))
• transmitted_power = sqrt(Area Of 1-Φ 2-wire mid-point system*Line Losses*(Maximum Voltage*cos(Theta))^2/(4*Resistivity*Length))
• resistivity = Area Of 1-Φ 2-wire mid-point system*Line Losses*((Maximum Voltage*cos(Theta))^2)/(4*(Power Transmitted^2)*Length)
• length = Area Of 1-Φ 2-wire mid-point system*Line Losses*((Maximum Voltage*cos(Theta))^2)/(4*(Power Transmitted^2)*Resistivity)
• line_losses = 4*Resistivity*Length*(Power Transmitted^2)/(Area Of 1-Φ 2-wire mid-point system*(Maximum Voltage^2)*(cos(Theta)^2))
• maximum_voltage = (2*Power Transmitted/ cos(Theta))*sqrt(Resistivity*Length/(Area Of 1-Φ 2-wire mid-point system*Line Losses))
• rms_voltage = (Power Transmitted/ cos(Theta))*sqrt(2*Resistivity*Length/(Area Of 1-Φ 2-wire mid-point system*Line Losses))
• power_factor = sqrt(4*(Power Transmitted^2)*Resistivity*Length/(Area Of 1-Φ 2-wire mid-point system*Line Losses*(Maximum Voltage^2)))
• theta = acos(sqrt(4*(Power Transmitted^2)*Resistivity*Length/(Area Of 1-Φ 2-wire mid-point system*Line Losses*(Maximum Voltage^2))))
Where is the RMS Voltage Using Area Of X-Section (1-phase 2-wire Mid-point Earthed) calculator used?
Among many, RMS Voltage Using Area Of X-Section (1-phase 2-wire Mid-point Earthed) calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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