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Power Factor Using Area Of X-Section (3-phase 4-wire US) Solution

STEP 0: Pre-Calculation Summary
Formula Used
theta = acos((Power Transmitted/Maximum Voltage)*sqrt(2*Resistivity*Length/(Area Of 3-Φ 4-wire system*Line Losses)))
ϑ = acos((P/Vm)*sqrt(2*ρ*l/(a10*W)))
This formula uses 3 Functions, 6 Variables
Functions Used
cos - Trigonometric cosine function, cos(Angle)
acos - Inverse trigonometric cosine function, acos(Number)
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 4-wire system - The Area Of 3-Φ 4-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)
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 4-wire system: 10 Square Meter --> 10 Square Meter No Conversion Required
Line Losses: 0.6 Watt --> 0.6 Watt No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ϑ = acos((P/Vm)*sqrt(2*ρ*l/(a10*W))) --> acos((10/60)*sqrt(2*1.7E-05*3/(10*0.6)))
Evaluating ... ...
ϑ = 1.57010914246988
STEP 3: Convert Result to Output's Unit
1.57010914246988 Radian -->89.9606272384457 Degree (Check conversion here)
FINAL ANSWER
89.9606272384457 Degree <-- Theta
(Calculation completed in 00.031 seconds)

9 Area Of X-Section Calculators

Power Factor Using Area Of X-Section (3-phase 4-wire US)
theta = acos((Power Transmitted/Maximum Voltage)*sqrt(2*Resistivity*Length/(Area Of 3-Φ 4-wire system*Line Losses))) Go
Angle Using Area Of X-Section (3-phase 4-wire US)
theta = acos((Power Transmitted/Maximum Voltage)*sqrt(2*Resistivity*Length/(Area Of 3-Φ 4-wire system*Line Losses))) Go
Maximum Voltage Using Area Of X-Section (3-phase 4-wire US)
maximum_voltage = (Power Transmitted/cos(Theta))*sqrt(2*Resistivity*Length/(Line Losses*Area Of 3-Φ 3-wire system)) Go
Power Transmitted Using Area Of X-Section (3-phase 4-wire US)
transmitted_power = Maximum Voltage*cos(Theta)*sqrt(Area Of 2-Φ 4-wire system*Line Losses/(2*Resistivity*Length)) Go
RMS Voltage Using Area Of X-Section (3-phase 4-wire US)
rms_voltage = (2*Power Transmitted/cos(Theta))*sqrt(Resistivity*Length/(6*Line Losses*Area Of 3-Φ 3-wire system)) Go
Resistivity Using Area Of X-Section (3-phase 4-wire US)
resistivity = Area Of 3-Φ 4-wire system*Line Losses*(Maximum Voltage^2)*(cos(Theta)^2)/(4*Length*(Power Transmitted^2)) Go
Line Losses Using Area Of X-Section (3-phase 4-wire US)
line_losses = 2*Resistivity*Length*(Power Transmitted^2)/(Area Of 3-Φ 4-wire system*(Maximum Voltage^2)*(cos(Theta)^2)) Go
Length Using Area Of X-Section (3-phase 4-wire US)
length = Area Of 2-Φ 4-wire system*Line Losses*(Maximum Voltage^2)*(cos(Theta)^2)/(4*Resistivity*(Power Transmitted^2)) Go
Area Of X-Section (3-phase 4-wire US)
area10 = (Power Transmitted^2)*2*Resistivity*Length/(Line Losses*(Maximum Voltage^2)*(cos(Theta)^2)) Go

Power Factor Using Area Of X-Section (3-phase 4-wire US) Formula

theta = acos((Power Transmitted/Maximum Voltage)*sqrt(2*Resistivity*Length/(Area Of 3-Φ 4-wire system*Line Losses)))
ϑ = acos((P/Vm)*sqrt(2*ρ*l/(a10*W)))

What is the correct power factor?

The ideal power factor is unity, or one. Anything less than one means that extra power is required to achieve the actual task at hand. All current flow causes losses both in the supply and distribution system. A load with a power factor of 1.0 results in the most efficient loading of the supply.

How to Calculate Power Factor Using Area Of X-Section (3-phase 4-wire US)?

Power Factor Using Area Of X-Section (3-phase 4-wire US) calculator uses theta = acos((Power Transmitted/Maximum Voltage)*sqrt(2*Resistivity*Length/(Area Of 3-Φ 4-wire system*Line Losses))) to calculate the Theta, The Power Factor Using Area Of X-Section (3-phase 4-wire US) formula is defined as the cosine of the angle between the voltage phasor and current phasor in an AC circuit. Theta and is denoted by ϑ symbol.

How to calculate Power Factor Using Area Of X-Section (3-phase 4-wire US) using this online calculator? To use this online calculator for Power Factor Using Area Of X-Section (3-phase 4-wire US), enter Power Transmitted (P), Maximum Voltage (Vm), Resistivity (ρ), Length (l), Area Of 3-Φ 4-wire system (a10) and Line Losses (W) and hit the calculate button. Here is how the Power Factor Using Area Of X-Section (3-phase 4-wire US) calculation can be explained with given input values -> 89.96063 = acos((10/60)*sqrt(2*1.7E-05*3/(10*0.6))).

FAQ

What is Power Factor Using Area Of X-Section (3-phase 4-wire US)?
The Power Factor Using Area Of X-Section (3-phase 4-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 ϑ = acos((P/Vm)*sqrt(2*ρ*l/(a10*W))) or theta = acos((Power Transmitted/Maximum Voltage)*sqrt(2*Resistivity*Length/(Area Of 3-Φ 4-wire system*Line Losses))). 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, The Area Of 3-Φ 4-wire system is the amount of two-dimensional space taken up by an object and Line Losses is defined as the losses that are produced in the line.
How to calculate Power Factor Using Area Of X-Section (3-phase 4-wire US)?
The Power Factor Using Area Of X-Section (3-phase 4-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 theta = acos((Power Transmitted/Maximum Voltage)*sqrt(2*Resistivity*Length/(Area Of 3-Φ 4-wire system*Line Losses))). To calculate Power Factor Using Area Of X-Section (3-phase 4-wire US), you need Power Transmitted (P), Maximum Voltage (Vm), Resistivity (ρ), Length (l), Area Of 3-Φ 4-wire system (a10) and Line Losses (W). With our tool, you need to enter the respective value for Power Transmitted, Maximum Voltage, Resistivity, Length, Area Of 3-Φ 4-wire system and Line Losses 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 Theta?
In this formula, Theta uses Power Transmitted, Maximum Voltage, Resistivity, Length, Area Of 3-Φ 4-wire system and Line Losses. We can use 9 other way(s) to calculate the same, which is/are as follows -
  • transmitted_power = Maximum Voltage*cos(Theta)*sqrt(Area Of 2-Φ 4-wire system*Line Losses/(2*Resistivity*Length))
  • 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/(6*Line Losses*Area Of 3-Φ 3-wire system))
  • theta = acos((Power Transmitted/Maximum Voltage)*sqrt(2*Resistivity*Length/(Area Of 3-Φ 4-wire system*Line Losses)))
  • theta = acos((Power Transmitted/Maximum Voltage)*sqrt(2*Resistivity*Length/(Area Of 3-Φ 4-wire system*Line Losses)))
  • resistivity = Area Of 3-Φ 4-wire system*Line Losses*(Maximum Voltage^2)*(cos(Theta)^2)/(4*Length*(Power Transmitted^2))
  • length = Area Of 2-Φ 4-wire system*Line Losses*(Maximum Voltage^2)*(cos(Theta)^2)/(4*Resistivity*(Power Transmitted^2))
  • line_losses = 2*Resistivity*Length*(Power Transmitted^2)/(Area Of 3-Φ 4-wire system*(Maximum Voltage^2)*(cos(Theta)^2))
  • area10 = (Power Transmitted^2)*2*Resistivity*Length/(Line Losses*(Maximum Voltage^2)*(cos(Theta)^2))
Where is the Power Factor Using Area Of X-Section (3-phase 4-wire US) calculator used?
Among many, Power Factor Using Area Of X-Section (3-phase 4-wire US) calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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