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## Credits

Vishwakarma Government Engineering College (VGEC), Ahmedabad
Urvi Rathod has created this Calculator and 1000+ more calculators!
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## Power Factor Using Area Of X-section(2-phase 4-wire OS) Solution

STEP 0: Pre-Calculation Summary
Formula Used
power_factor = sqrt((Power Transmitted^2)*Resistivity*Length/(2*Area Of X-Section*Line Losses*(Maximum Voltage^2)))
PF = sqrt((P^2)*ρ*l/(2*a*W*(Vm^2)))
This formula uses 1 Functions, 6 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
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)
Length - Length is the measurement or extent of something from end to end. (Measured in Meter)
Area Of X-Section - Area Of X-Section 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.” (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)
STEP 1: Convert Input(s) to Base Unit
Power Transmitted: 10 Kilowatt --> 10000 Watt (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 X-Section: 5 Square Meter --> 5 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
STEP 2: Evaluate Formula
Substituting Input Values in Formula
PF = sqrt((P^2)*ρ*l/(2*a*W*(Vm^2))) --> sqrt((10000^2)*1.7E-05*3/(2*5*0.6*(60^2)))
Evaluating ... ...
PF = 0.485912657903775
STEP 3: Convert Result to Output's Unit
0.485912657903775 --> No Conversion Required
0.485912657903775 <-- Power Factor
(Calculation completed in 00.031 seconds)

## < 9 Area Of X-Section Calculators

Power Transmitted Using Area Of X-Section(2-phase 4-wire OS)
power_transmitted = sqrt((2*Area Of X-Section*(Maximum Voltage^2)*Line Losses*((cos(Theta))^2))/(Resistivity*Length)) Go
Maximum Voltage Using Area Of X-section(2-phase 4-wire OS)
maximum_voltage = sqrt((Length*Resistivity*(Power Transmitted^2))/(2*Area Of X-Section*Line Losses*((cos(Theta))^2))) Go
RMS Voltage Using Area Of X-Section(2-phase 4-wire OS)
rms_voltage = sqrt((Length*Resistivity*(Power Transmitted^2))/(Area Of X-Section*Line Losses*((cos(Theta))^2))) Go
Power Factor Using Area Of X-section(2-phase 4-wire OS)
power_factor = sqrt((Power Transmitted^2)*Resistivity*Length/(2*Area Of X-Section*Line Losses*(Maximum Voltage^2))) Go
Line Losses Using Area Of X-Section(2-phase 4-wire OS)
line_losses = (Length*Resistivity*(Power Transmitted^2))/(2*Area Of X-Section*(Maximum Voltage^2)*((cos(Theta))^2)) Go
Length Of Wire Using Area Of X-section(2-phase 4-wire OS)
length = 2*Area Of X-Section*(Maximum Voltage^2)*Line Losses*((cos(Theta))^2)/(Resistivity*(Power Transmitted^2)) Go
Resistivity Using Area Of X-Section(2-phase 4-wire OS)
resistivity = 2*Area Of X-Section*(Maximum Voltage^2)*Line Losses*((cos(Theta))^2)/(Length*(Power Transmitted^2)) Go
Load Current Using Area Of X-section(2-phase 4-wire OS)
load_current = sqrt(Line Losses*Area Of X-Section/((32)*Resistivity*Length)) Go
Volume Of Conductor Material Using Area Of X-Section(2-phase 4-wire OS)
volume_of_conductor_material = (4)*Area Of X-Section*Length Go

### Power Factor Using Area Of X-section(2-phase 4-wire OS) Formula

power_factor = sqrt((Power Transmitted^2)*Resistivity*Length/(2*Area Of X-Section*Line Losses*(Maximum Voltage^2)))
PF = sqrt((P^2)*ρ*l/(2*a*W*(Vm^2)))

## What is the value of maximum voltage and volume of conductor material in 2-phase 4-wire system?

The volume of conductor material required in this system is 1/2cos2θ times that of 2-wire d.c.system with the one conductor earthed. The maximum voltage between conductors is 2vm so that r.m.s. value of voltage between them is √2vm.

## How to Calculate Power Factor Using Area Of X-section(2-phase 4-wire OS)?

Power Factor Using Area Of X-section(2-phase 4-wire OS) calculator uses power_factor = sqrt((Power Transmitted^2)*Resistivity*Length/(2*Area Of X-Section*Line Losses*(Maximum Voltage^2))) to calculate the Power Factor, The Power Factor Using Area Of X-section(2-phase 4-wire OS) formula is defined as the cosine of the angle between the voltage phasor and current phasor in an AC circuit. Power Factor and is denoted by PF symbol.

How to calculate Power Factor Using Area Of X-section(2-phase 4-wire OS) using this online calculator? To use this online calculator for Power Factor Using Area Of X-section(2-phase 4-wire OS), enter Power Transmitted (P), Resistivity (ρ), Length (l), Area Of X-Section (a), Line Losses (W) and Maximum Voltage (Vm) and hit the calculate button. Here is how the Power Factor Using Area Of X-section(2-phase 4-wire OS) calculation can be explained with given input values -> 0.485913 = sqrt((10000^2)*1.7E-05*3/(2*5*0.6*(60^2))).

### FAQ

What is Power Factor Using Area Of X-section(2-phase 4-wire OS)?
The Power Factor Using Area Of X-section(2-phase 4-wire OS) formula is defined as the cosine of the angle between the voltage phasor and current phasor in an AC circuit and is represented as PF = sqrt((P^2)*ρ*l/(2*a*W*(Vm^2))) or power_factor = sqrt((Power Transmitted^2)*Resistivity*Length/(2*Area Of X-Section*Line Losses*(Maximum Voltage^2))). The Power Transmitted Value through a shaft, 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, Area Of X-Section 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.”, Line Losses is defined as the losses that are produced in the line and Maximum Voltage the highest voltage rating for electrical devices.
How to calculate Power Factor Using Area Of X-section(2-phase 4-wire OS)?
The Power Factor Using Area Of X-section(2-phase 4-wire OS) formula is defined as the cosine of the angle between the voltage phasor and current phasor in an AC circuit is calculated using power_factor = sqrt((Power Transmitted^2)*Resistivity*Length/(2*Area Of X-Section*Line Losses*(Maximum Voltage^2))). To calculate Power Factor Using Area Of X-section(2-phase 4-wire OS), you need Power Transmitted (P), Resistivity (ρ), Length (l), Area Of X-Section (a), Line Losses (W) and Maximum Voltage (Vm). With our tool, you need to enter the respective value for Power Transmitted, Resistivity, Length, Area Of X-Section, Line Losses and Maximum Voltage 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 Power Factor?
In this formula, Power Factor uses Power Transmitted, Resistivity, Length, Area Of X-Section, Line Losses and Maximum Voltage. We can use 9 other way(s) to calculate the same, which is/are as follows -
• line_losses = (Length*Resistivity*(Power Transmitted^2))/(2*Area Of X-Section*(Maximum Voltage^2)*((cos(Theta))^2))
• maximum_voltage = sqrt((Length*Resistivity*(Power Transmitted^2))/(2*Area Of X-Section*Line Losses*((cos(Theta))^2)))
• power_factor = sqrt((Power Transmitted^2)*Resistivity*Length/(2*Area Of X-Section*Line Losses*(Maximum Voltage^2)))
• power_transmitted = sqrt((2*Area Of X-Section*(Maximum Voltage^2)*Line Losses*((cos(Theta))^2))/(Resistivity*Length))
• resistivity = 2*Area Of X-Section*(Maximum Voltage^2)*Line Losses*((cos(Theta))^2)/(Length*(Power Transmitted^2))
• length = 2*Area Of X-Section*(Maximum Voltage^2)*Line Losses*((cos(Theta))^2)/(Resistivity*(Power Transmitted^2))
• volume_of_conductor_material = (4)*Area Of X-Section*Length
• load_current = sqrt(Line Losses*Area Of X-Section/((32)*Resistivity*Length))
• rms_voltage = sqrt((Length*Resistivity*(Power Transmitted^2))/(Area Of X-Section*Line Losses*((cos(Theta))^2)))
Where is the Power Factor Using Area Of X-section(2-phase 4-wire OS) calculator used?
Among many, Power Factor Using Area Of X-section(2-phase 4-wire OS) calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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