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## Credits

Vishwakarma Government Engineering College (VGEC), Ahmedabad
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## Power Factor Using Area Of X-Section (1-Phase 2-Wire US) Solution

STEP 0: Pre-Calculation Summary
Formula Used
power_factor = sqrt(((4)*(Power Transmitted^2)*Resistivity*Length)/(Area Of 1-Φ 2-wire system*Line Losses*(Maximum Voltage^2)))
PF = sqrt(((4)*(P^2)*ρ*l)/(a4*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 1-Φ 2-wire system - The Area Of 1-Φ 2-wire 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)
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 1-Φ 2-wire 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
STEP 2: Evaluate Formula
Substituting Input Values in Formula
PF = sqrt(((4)*(P^2)*ρ*l)/(a4*W*(Vm^2))) --> sqrt(((4)*(10000^2)*1.7E-05*3)/(6*0.6*(60^2)))
Evaluating ... ...
PF = 1.25462108784847
STEP 3: Convert Result to Output's Unit
1.25462108784847 --> No Conversion Required
FINAL ANSWER
1.25462108784847 <-- Power Factor
(Calculation completed in 00.021 seconds)

## < 9 Area Of X-Section Calculators

Power Transmitted Using Area Of X-Section (1-Phase 2-Wire US)
power_transmitted = sqrt((Area Of 1-Φ 2-wire system*(Maximum Voltage^2)*Line Losses*((cos(Theta))^2))/(4*Resistivity*Length)) Go
Maximum Voltage Using Area Of X-Section (1-Phase 2-Wire US)
maximum_voltage = sqrt((4*Length*Resistivity*(Power Transmitted^2))/(Area Of 1-Φ 2-wire system*Line Losses*(cos(Theta))^2)) Go
RMS Voltage Using Area Of X-Section (1-Phase 2-Wire US)
rms_voltage = sqrt((2*Length*Resistivity*(Power Transmitted^2))/(Area Of 2-Φ 3-wire system*Line Losses*((cos(Theta))^2))) Go
Power Factor Using Area Of X-Section (1-Phase 2-Wire US)
power_factor = sqrt(((4)*(Power Transmitted^2)*Resistivity*Length)/(Area Of 1-Φ 2-wire system*Line Losses*(Maximum Voltage^2))) Go
Resistivity Using Area Of X-Section (1-Phase 2-Wire US)
resistivity = Area Of 1-Φ 2-wire system*(Maximum Voltage^2)*Line Losses*((cos(Theta))^2)/((4)*Length*(Power Transmitted^2)) Go
Line Losses Using Area Of X-Section (1-Phase 2-Wire US)
line_losses = (4*Length*Resistivity*(Power Transmitted^2))/(Area Of X-Section*(Maximum Voltage^2)*((cos(Theta))^2)) Go
Length Using Area Of X-Section (1-Phase 2-Wire US)
length = Area Of 1-Φ 2-wire system*Line Losses*(Maximum Voltage*cos(Theta))^2/(4*(Power Transmitted^2)*Resistivity) Go
Constant Using Area Of X-Section (1-Phase 2-Wire US)
constant = Area Of 1-Φ 2-wire system*Length*(cos(Theta))^2 Go
Volume Of Conductor Material Using Area Of X-Section (1-Phase 2-Wire US)
volume_of_conductor_material = Area Of 1-Φ 2-wire system*Length*2 Go

### Power Factor Using Area Of X-Section (1-Phase 2-Wire US) Formula

power_factor = sqrt(((4)*(Power Transmitted^2)*Resistivity*Length)/(Area Of 1-Φ 2-wire system*Line Losses*(Maximum Voltage^2)))
PF = sqrt(((4)*(P^2)*ρ*l)/(a4*W*(Vm^2)))

## What is the value of maximum voltage and volume of conductor material in 1-phase 2-wire 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 Power Factor Using Area Of X-Section (1-Phase 2-Wire US)?

Power Factor Using Area Of X-Section (1-Phase 2-Wire US) calculator uses power_factor = sqrt(((4)*(Power Transmitted^2)*Resistivity*Length)/(Area Of 1-Φ 2-wire system*Line Losses*(Maximum Voltage^2))) to calculate the Power Factor, The Power Factor Using Area Of X-Section (1-Phase 2-Wire US) 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 (1-Phase 2-Wire US) using this online calculator? To use this online calculator for Power Factor Using Area Of X-Section (1-Phase 2-Wire US), enter Power Transmitted (P), Resistivity (ρ), Length (l), Area Of 1-Φ 2-wire system (a4), Line Losses (W) and Maximum Voltage (Vm) and hit the calculate button. Here is how the Power Factor Using Area Of X-Section (1-Phase 2-Wire US) calculation can be explained with given input values -> 1.254621 = sqrt(((4)*(10000^2)*1.7E-05*3)/(6*0.6*(60^2))).

### FAQ

What is Power Factor Using Area Of X-Section (1-Phase 2-Wire US)?
The Power Factor Using Area Of X-Section (1-Phase 2-Wire US) 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(((4)*(P^2)*ρ*l)/(a4*W*(Vm^2))) or power_factor = sqrt(((4)*(Power Transmitted^2)*Resistivity*Length)/(Area Of 1-Φ 2-wire system*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, The Area Of 1-Φ 2-wire 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 and Maximum Voltage the highest voltage rating for electrical devices.
How to calculate Power Factor Using Area Of X-Section (1-Phase 2-Wire US)?
The Power Factor Using Area Of X-Section (1-Phase 2-Wire US) 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(((4)*(Power Transmitted^2)*Resistivity*Length)/(Area Of 1-Φ 2-wire system*Line Losses*(Maximum Voltage^2))). To calculate Power Factor Using Area Of X-Section (1-Phase 2-Wire US), you need Power Transmitted (P), Resistivity (ρ), Length (l), Area Of 1-Φ 2-wire system (a4), Line Losses (W) and Maximum Voltage (Vm). With our tool, you need to enter the respective value for Power Transmitted, Resistivity, Length, Area Of 1-Φ 2-wire system, 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 1-Φ 2-wire system, Line Losses and Maximum Voltage. We can use 9 other way(s) to calculate the same, which is/are as follows -
• power_transmitted = sqrt((Area Of 1-Φ 2-wire system*(Maximum Voltage^2)*Line Losses*((cos(Theta))^2))/(4*Resistivity*Length))
• resistivity = Area Of 1-Φ 2-wire system*(Maximum Voltage^2)*Line Losses*((cos(Theta))^2)/((4)*Length*(Power Transmitted^2))
• length = Area Of 1-Φ 2-wire system*Line Losses*(Maximum Voltage*cos(Theta))^2/(4*(Power Transmitted^2)*Resistivity)
• line_losses = (4*Length*Resistivity*(Power Transmitted^2))/(Area Of X-Section*(Maximum Voltage^2)*((cos(Theta))^2))
• maximum_voltage = sqrt((4*Length*Resistivity*(Power Transmitted^2))/(Area Of 1-Φ 2-wire system*Line Losses*(cos(Theta))^2))
• rms_voltage = sqrt((2*Length*Resistivity*(Power Transmitted^2))/(Area Of 2-Φ 3-wire system*Line Losses*((cos(Theta))^2)))
• power_factor = sqrt(((4)*(Power Transmitted^2)*Resistivity*Length)/(Area Of 1-Φ 2-wire system*Line Losses*(Maximum Voltage^2)))
• constant = Area Of 1-Φ 2-wire system*Length*(cos(Theta))^2
• volume_of_conductor_material = Area Of 1-Φ 2-wire system*Length*2
Where is the Power Factor Using Area Of X-Section (1-Phase 2-Wire US) calculator used?
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