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## Credits

Vishwakarma Government Engineering College (VGEC), Ahmedabad
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## Power Factor Using Area Of X-Section (3-phase 3-wire US) Solution

STEP 0: Pre-Calculation Summary
Formula Used
power_factor = (Power Transmitted/Maximum Voltage)*sqrt(2*Resistivity*Length/(Area Of 3-Φ 3-wire system))
PF = (P/Vm)*sqrt(2*ρ*l/(a9))
This formula uses 1 Functions, 5 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Power Transmitted - The Power Transmitted Value through a shaft. (Measured in Watt)
Maximum Voltage - Maximum Voltage the highest voltage rating for electrical devices (Measured in Volt)
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 3-Φ 3-wire system - The Area Of 3-Φ 3-wire system is the amount of two-dimensional space taken up by an object. (Measured in Square Meter)
STEP 1: Convert Input(s) to Base Unit
Power Transmitted: 10 Watt --> 10 Watt No Conversion Required
Maximum Voltage: 60 Volt --> 60 Volt No Conversion Required
Resistivity: 1.7E-05 Ohm Meter --> 1.7E-05 Ohm Meter No Conversion Required
Length: 3 Meter --> 3 Meter No Conversion Required
Area Of 3-Φ 3-wire system: 10 Square Meter --> 10 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
PF = (P/Vm)*sqrt(2*ρ*l/(a9)) --> (10/60)*sqrt(2*1.7E-05*3/(10))
Evaluating ... ...
PF = 0.000532290647422377
STEP 3: Convert Result to Output's Unit
0.000532290647422377 --> No Conversion Required
FINAL ANSWER
0.000532290647422377 <-- Power Factor
(Calculation completed in 00.016 seconds)

## < 7 Area Of X-Section Calculators

Power Transmitted Using Area Of X-Section (3-phase 3-wire US)
transmitted_power = sqrt(Area Of 1-Φ 3-wire system*Line Losses*(Maximum Voltage^2)*(cos(Theta)^2)/(2*Resistivity*Length)) Go
Maximum Voltage Using Area Of X-Section (3-phase 3-wire US)
maximum_voltage = (Power Transmitted/cos(Theta))*sqrt(2*Resistivity*Length/(Line Losses*Area Of 3-Φ 3-wire system)) Go
RMS Voltage Using Area Of X-Section (3-phase 3-wire US)
rms_voltage = (2*Power Transmitted/cos(Theta))*sqrt(Resistivity*Length/(Line Losses*Area Of 3-Φ 3-wire system)) Go
Resistivity Using Area Of X-Section (3-phase 3-wire US)
resistivity = Area Of 3-Φ 3-wire system*Line Losses*(Maximum Voltage^2)*(cos(Theta)^2)/(2*(Power Transmitted^2)*Length) Go
Length Using Area Of X-Section (3-phase 3-wire US)
length = Area Of 3-Φ 3-wire system*Line Losses*(Maximum Voltage^2)*(cos(Theta)^2)/(2*(Power Transmitted^2)*Resistivity) Go
Angle Using Area Of X-Section (3-phase 3-wire US)
angle = acos((Power Transmitted/Maximum Voltage)*sqrt(2*Resistivity*Length/(Area Of 3-Φ 3-wire system))) Go
Power Factor Using Area Of X-Section (3-phase 3-wire US)
power_factor = (Power Transmitted/Maximum Voltage)*sqrt(2*Resistivity*Length/(Area Of 3-Φ 3-wire system)) Go

### Power Factor Using Area Of X-Section (3-phase 3-wire US) Formula

power_factor = (Power Transmitted/Maximum Voltage)*sqrt(2*Resistivity*Length/(Area Of 3-Φ 3-wire system))
PF = (P/Vm)*sqrt(2*ρ*l/(a9))

## Why do we use 3 phase 3 wire?

The function of neutral wire in the 3 phase 3 wire system is to serve as a return wire for the general domestic supply system. The neutral is paired to each of the single-phase loads.

## How to Calculate Power Factor Using Area Of X-Section (3-phase 3-wire US)?

Power Factor Using Area Of X-Section (3-phase 3-wire US) calculator uses power_factor = (Power Transmitted/Maximum Voltage)*sqrt(2*Resistivity*Length/(Area Of 3-Φ 3-wire system)) to calculate the Power Factor, The Power Factor Using Area Of X-Section (3-phase 3-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 (3-phase 3-wire US) using this online calculator? To use this online calculator for Power Factor Using Area Of X-Section (3-phase 3-wire US), enter Power Transmitted (P), Maximum Voltage (Vm), Resistivity (ρ), Length (l) and Area Of 3-Φ 3-wire system (a9) and hit the calculate button. Here is how the Power Factor Using Area Of X-Section (3-phase 3-wire US) calculation can be explained with given input values -> 0.000532 = (10/60)*sqrt(2*1.7E-05*3/(10)).

### FAQ

What is Power Factor Using Area Of X-Section (3-phase 3-wire US)?
The Power Factor Using Area Of X-Section (3-phase 3-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 = (P/Vm)*sqrt(2*ρ*l/(a9)) or power_factor = (Power Transmitted/Maximum Voltage)*sqrt(2*Resistivity*Length/(Area Of 3-Φ 3-wire system)). The Power Transmitted Value through a shaft, Maximum Voltage the highest voltage rating for electrical devices, 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 and The Area Of 3-Φ 3-wire system is the amount of two-dimensional space taken up by an object.
How to calculate Power Factor Using Area Of X-Section (3-phase 3-wire US)?
The Power Factor Using Area Of X-Section (3-phase 3-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 = (Power Transmitted/Maximum Voltage)*sqrt(2*Resistivity*Length/(Area Of 3-Φ 3-wire system)). To calculate Power Factor Using Area Of X-Section (3-phase 3-wire US), you need Power Transmitted (P), Maximum Voltage (Vm), Resistivity (ρ), Length (l) and Area Of 3-Φ 3-wire system (a9). With our tool, you need to enter the respective value for Power Transmitted, Maximum Voltage, Resistivity, Length and Area Of 3-Φ 3-wire system 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, Maximum Voltage, Resistivity, Length and Area Of 3-Φ 3-wire system. We can use 7 other way(s) to calculate the same, which is/are as follows -
• transmitted_power = sqrt(Area Of 1-Φ 3-wire system*Line Losses*(Maximum Voltage^2)*(cos(Theta)^2)/(2*Resistivity*Length))
• resistivity = Area Of 3-Φ 3-wire system*Line Losses*(Maximum Voltage^2)*(cos(Theta)^2)/(2*(Power Transmitted^2)*Length)
• length = Area Of 3-Φ 3-wire system*Line Losses*(Maximum Voltage^2)*(cos(Theta)^2)/(2*(Power Transmitted^2)*Resistivity)
• maximum_voltage = (Power Transmitted/cos(Theta))*sqrt(2*Resistivity*Length/(Line Losses*Area Of 3-Φ 3-wire system))
• rms_voltage = (2*Power Transmitted/cos(Theta))*sqrt(Resistivity*Length/(Line Losses*Area Of 3-Φ 3-wire system))
• power_factor = (Power Transmitted/Maximum Voltage)*sqrt(2*Resistivity*Length/(Area Of 3-Φ 3-wire system))
• angle = acos((Power Transmitted/Maximum Voltage)*sqrt(2*Resistivity*Length/(Area Of 3-Φ 3-wire system)))
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