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## Credits

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

STEP 0: Pre-Calculation Summary
Formula Used
area5 = 4*Resistivity*Length*(Power Transmitted^2)/(Line Losses*((Maximum Voltage*cos(Theta))^2))
a5 = 4*ρ*l*(P^2)/(W*((Vm*cos(ϑ))^2))
This formula uses 1 Functions, 6 Variables
Functions Used
cos - Trigonometric cosine function, cos(Angle)
Variables Used
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)
Power Transmitted - The Power Transmitted Value through a shaft. (Measured in Watt)
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)
STEP 1: Convert Input(s) to Base Unit
Resistivity: 1.7E-05 Ohm Meter --> 1.7E-05 Ohm Meter No Conversion Required
Length: 3 Meter --> 3 Meter No Conversion Required
Power Transmitted: 10 Watt --> 10 Watt 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)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
a5 = 4*ρ*l*(P^2)/(W*((Vm*cos(ϑ))^2)) --> 4*1.7E-05*3*(10^2)/(0.6*((60*cos(0.5235987755982))^2))
Evaluating ... ...
a5 = 1.25925925925926E-05
STEP 3: Convert Result to Output's Unit
1.25925925925926E-05 Square Meter --> No Conversion Required
FINAL ANSWER
1.25925925925926E-05 Square Meter <-- Area Of 1-Φ 2-wire mid-point system
(Calculation completed in 00.034 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

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

area5 = 4*Resistivity*Length*(Power Transmitted^2)/(Line Losses*((Maximum Voltage*cos(Theta))^2))
a5 = 4*ρ*l*(P^2)/(W*((Vm*cos(ϑ))^2))

## 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 Area Of X-Section (1-phase 2-wire Mid-point Earthed)?

Area Of X-Section (1-phase 2-wire Mid-point Earthed) calculator uses area5 = 4*Resistivity*Length*(Power Transmitted^2)/(Line Losses*((Maximum Voltage*cos(Theta))^2)) to calculate the Area Of 1-Φ 2-wire mid-point system, The Area Of X-Section (1-phase 2-wire Mid-point Earthed) formula is defined as the cross-sectional area simply as the square of the wire's diameter in mils and calls that our area in units of “circular mils.” This makes number handling ever so much easier. Area Of 1-Φ 2-wire mid-point system and is denoted by a5 symbol.

How to calculate Area Of X-Section (1-phase 2-wire Mid-point Earthed) using this online calculator? To use this online calculator for Area Of X-Section (1-phase 2-wire Mid-point Earthed), enter Resistivity (ρ), Length (l), Power Transmitted (P), Line Losses (W), Maximum Voltage (Vm) and Theta (ϑ) and hit the calculate button. Here is how the Area Of X-Section (1-phase 2-wire Mid-point Earthed) calculation can be explained with given input values -> 1.259E-5 = 4*1.7E-05*3*(10^2)/(0.6*((60*cos(0.5235987755982))^2)).

### FAQ

What is Area Of X-Section (1-phase 2-wire Mid-point Earthed)?
The Area Of X-Section (1-phase 2-wire Mid-point Earthed) formula is defined as the cross-sectional area simply as the square of the wire's diameter in mils and calls that our area in units of “circular mils.” This makes number handling ever so much easier and is represented as a5 = 4*ρ*l*(P^2)/(W*((Vm*cos(ϑ))^2)) or area5 = 4*Resistivity*Length*(Power Transmitted^2)/(Line Losses*((Maximum Voltage*cos(Theta))^2)). 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 Power Transmitted Value through a shaft, Line Losses is defined as the losses that are produced in the line, Maximum Voltage the highest voltage rating for electrical devices and Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.
How to calculate Area Of X-Section (1-phase 2-wire Mid-point Earthed)?
The Area Of X-Section (1-phase 2-wire Mid-point Earthed) formula is defined as the cross-sectional area simply as the square of the wire's diameter in mils and calls that our area in units of “circular mils.” This makes number handling ever so much easier is calculated using area5 = 4*Resistivity*Length*(Power Transmitted^2)/(Line Losses*((Maximum Voltage*cos(Theta))^2)). To calculate Area Of X-Section (1-phase 2-wire Mid-point Earthed), you need Resistivity (ρ), Length (l), Power Transmitted (P), Line Losses (W), Maximum Voltage (Vm) and Theta (ϑ). With our tool, you need to enter the respective value for Resistivity, Length, Power Transmitted, Line Losses, Maximum Voltage and Theta 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 Area Of 1-Φ 2-wire mid-point system?
In this formula, Area Of 1-Φ 2-wire mid-point system uses Resistivity, Length, Power Transmitted, Line Losses, Maximum Voltage and Theta. 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))))
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