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## Credits

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

STEP 0: Pre-Calculation Summary
Formula Used
length = Area Of 1-Φ 2-wire mid-point system*Line Losses*((Maximum Voltage*cos(Theta))^2)/(4*(Power Transmitted^2)*Resistivity)
l = a5*W*((Vm*cos(ϑ))^2)/(4*(P^2)*ρ)
This formula uses 1 Functions, 6 Variables
Functions Used
cos - Trigonometric cosine function, cos(Angle)
Variables Used
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)
Maximum Voltage - Maximum Voltage the highest voltage rating for electrical devices (Measured in Volt)
Theta - Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint. (Measured in Degree)
Power Transmitted - The Power Transmitted Value through a shaft. (Measured in Kilowatt)
Resistivity - Resistivity is the measure of how strongly a material opposes the flow of current through them. (Measured in Ohm Meter)
STEP 1: Convert Input(s) to Base Unit
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
Maximum Voltage: 60 Volt --> 60 Volt No Conversion Required
Theta: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
Power Transmitted: 10 Kilowatt --> 10000 Watt (Check conversion here)
Resistivity: 1.7E-05 Ohm Meter --> 1.7E-05 Ohm Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
l = a5*W*((Vm*cos(ϑ))^2)/(4*(P^2)*ρ) --> 6*0.6*((60*cos(0.5235987755982))^2)/(4*(10000^2)*1.7E-05)
Evaluating ... ...
l = 1.42941176470588
STEP 3: Convert Result to Output's Unit
1.42941176470588 Meter --> No Conversion Required
1.42941176470588 Meter <-- Length
(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

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

length = Area Of 1-Φ 2-wire mid-point system*Line Losses*((Maximum Voltage*cos(Theta))^2)/(4*(Power Transmitted^2)*Resistivity)
l = a5*W*((Vm*cos(ϑ))^2)/(4*(P^2)*ρ)

## What is the value of maximum voltage and volume of conductor material in this 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 vm so that r.m.s. value of voltage between them is vm/√2.

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

Length Using Area Of X-Section (1-phase 2-wire Mid-point Earthed) calculator uses length = Area Of 1-Φ 2-wire mid-point system*Line Losses*((Maximum Voltage*cos(Theta))^2)/(4*(Power Transmitted^2)*Resistivity) to calculate the Length, The Length Using Area Of X-Section (1-phase 2-wire Mid-point Earthed) formula is defined as the total length of the wire that used in the two-phase three-wire mid-point earthed Underground system. Length and is denoted by l symbol.

How to calculate Length Using Area Of X-Section (1-phase 2-wire Mid-point Earthed) using this online calculator? To use this online calculator for Length Using Area Of X-Section (1-phase 2-wire Mid-point Earthed), enter Area Of 1-Φ 2-wire mid-point system (a5), Line Losses (W), Maximum Voltage (Vm), Theta (ϑ), Power Transmitted (P) and Resistivity (ρ) and hit the calculate button. Here is how the Length Using Area Of X-Section (1-phase 2-wire Mid-point Earthed) calculation can be explained with given input values -> 1.429412 = 6*0.6*((60*cos(0.5235987755982))^2)/(4*(10000^2)*1.7E-05).

### FAQ

What is Length Using Area Of X-Section (1-phase 2-wire Mid-point Earthed)?
The Length Using Area Of X-Section (1-phase 2-wire Mid-point Earthed) formula is defined as the total length of the wire that used in the two-phase three-wire mid-point earthed Underground system and is represented as l = a5*W*((Vm*cos(ϑ))^2)/(4*(P^2)*ρ) or length = Area Of 1-Φ 2-wire mid-point system*Line Losses*((Maximum Voltage*cos(Theta))^2)/(4*(Power Transmitted^2)*Resistivity). The Area Of 1-Φ 2-wire mid-point system is the amount of two-dimensional space taken up by an object, Line Losses is defined as the losses that are produced in the line, Maximum Voltage the highest voltage rating for electrical devices, Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint, The Power Transmitted Value through a shaft and Resistivity is the measure of how strongly a material opposes the flow of current through them.
How to calculate Length Using Area Of X-Section (1-phase 2-wire Mid-point Earthed)?
The Length Using Area Of X-Section (1-phase 2-wire Mid-point Earthed) formula is defined as the total length of the wire that used in the two-phase three-wire mid-point earthed Underground system is calculated using length = Area Of 1-Φ 2-wire mid-point system*Line Losses*((Maximum Voltage*cos(Theta))^2)/(4*(Power Transmitted^2)*Resistivity). To calculate Length Using Area Of X-Section (1-phase 2-wire Mid-point Earthed), you need Area Of 1-Φ 2-wire mid-point system (a5), Line Losses (W), Maximum Voltage (Vm), Theta (ϑ), Power Transmitted (P) and Resistivity (ρ). With our tool, you need to enter the respective value for Area Of 1-Φ 2-wire mid-point system, Line Losses, Maximum Voltage, Theta, Power Transmitted and Resistivity 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 Length?
In this formula, Length uses Area Of 1-Φ 2-wire mid-point system, Line Losses, Maximum Voltage, Theta, Power Transmitted and Resistivity. 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 Length Using Area Of X-Section (1-phase 2-wire Mid-point Earthed) calculator used?
Among many, Length 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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