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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 Mid-point Earthed) Solution

STEP 0: Pre-Calculation Summary
Formula Used
power_factor = sqrt(4*(Power Transmitted^2)*Resistivity*Length/(Area Of 1-Φ 2-wire mid-point system*Line Losses*(Maximum Voltage^2)))
PF = sqrt(4*(P^2)*ρ*l/(a5*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 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)
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 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
STEP 2: Evaluate Formula
Substituting Input Values in Formula
PF = sqrt(4*(P^2)*ρ*l/(a5*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 00.028 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

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

power_factor = sqrt(4*(Power Transmitted^2)*Resistivity*Length/(Area Of 1-Φ 2-wire mid-point system*Line Losses*(Maximum Voltage^2)))
PF = sqrt(4*(P^2)*ρ*l/(a5*W*(Vm^2)))

## How are power factor and power angle related?

Power angles are generally caused due to voltage drop due to impedance in the transmission line. The power factor is caused due to phase angle between reactive and active power.

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

Power Factor Using Area Of X-Section (1-phase 2-wire Mid-point Earthed) calculator uses power_factor = sqrt(4*(Power Transmitted^2)*Resistivity*Length/(Area Of 1-Φ 2-wire mid-point system*Line Losses*(Maximum Voltage^2))) to calculate the Power Factor, The Power Factor Using Area Of X-Section (1-phase 2-wire Mid-point Earthed) 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 Mid-point Earthed) using this online calculator? To use this online calculator for Power Factor Using Area Of X-Section (1-phase 2-wire Mid-point Earthed), enter Power Transmitted (P), Resistivity (ρ), Length (l), Area Of 1-Φ 2-wire mid-point system (a5), 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 Mid-point Earthed) 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 Mid-point Earthed)?
The Power Factor Using Area Of X-Section (1-phase 2-wire Mid-point Earthed) 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/(a5*W*(Vm^2))) or power_factor = sqrt(4*(Power Transmitted^2)*Resistivity*Length/(Area Of 1-Φ 2-wire mid-point 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 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 and Maximum Voltage the highest voltage rating for electrical devices.
How to calculate Power Factor Using Area Of X-Section (1-phase 2-wire Mid-point Earthed)?
The Power Factor Using Area Of X-Section (1-phase 2-wire Mid-point Earthed) 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 mid-point system*Line Losses*(Maximum Voltage^2))). To calculate Power Factor Using Area Of X-Section (1-phase 2-wire Mid-point Earthed), you need Power Transmitted (P), Resistivity (ρ), Length (l), Area Of 1-Φ 2-wire mid-point system (a5), 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 mid-point 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 mid-point system, Line Losses and Maximum Voltage. 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 Power Factor Using Area Of X-Section (1-phase 2-wire Mid-point Earthed) calculator used?
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