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Angle Of PF Using Area Of X-section(3-phase 3-wire OS) Solution

STEP 0: Pre-Calculation Summary
Formula Used
theta = acos(sqrt(2*Resistivity*(Power Transmitted^2*Length^2)/(3*Area Of 3-Φ 3-wire system*Line Losses*(Maximum Voltage^2))))
ϑ = acos(sqrt(2*ρ*(P^2*l^2)/(3*a9*W*(Vm^2))))
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
Resistivity - Resistivity is the measure of how strongly a material opposes the flow of current through them. (Measured in Ohm Meter)
Power Transmitted - The Power Transmitted Value through a shaft. (Measured in Kilowatt)
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)
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
Resistivity: 1.7E-05 Ohm Meter --> 1.7E-05 Ohm Meter No Conversion Required
Power Transmitted: 10 Kilowatt --> 10000 Watt (Check conversion here)
Length: 3 Meter --> 3 Meter No Conversion Required
Area Of 3-Φ 3-wire system: 10 Square Meter --> 10 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
ϑ = acos(sqrt(2*ρ*(P^2*l^2)/(3*a9*W*(Vm^2)))) --> acos(sqrt(2*1.7E-05*(10000^2*3^2)/(3*10*0.6*(60^2))))
Evaluating ... ...
ϑ = 0.813190250037907
STEP 3: Convert Result to Output's Unit
0.813190250037907 Radian -->46.592369268369 Degree (Check conversion here)
FINAL ANSWER
46.592369268369 Degree <-- Theta
(Calculation completed in 00.031 seconds)

8 Area Of X-Section Calculators

Power Transmitted Using Area Of X-section(3-phase 3-wire OS)
power_transmitted = sqrt((3*Area Of 3-Φ 3-wire system*(Maximum Voltage^2)*Line Losses*((cos(Theta))^2))/(Resistivity*2*Length)) Go
Maximum Voltage Using Area Of X-section(3-phase 3-wire OS)
maximum_voltage = sqrt((2*Length*Resistivity*(Power Transmitted^2))/(3*Area Of 3-Φ 3-wire system*Line Losses*((cos(Theta))^2))) Go
Angle Of PF Using Area Of X-section(3-phase 3-wire OS)
theta = acos(sqrt(2*Resistivity*(Power Transmitted^2*Length^2)/(3*Area Of 3-Φ 3-wire system*Line Losses*(Maximum Voltage^2)))) Go
RMS Voltage Using Area Of X-section(3-phase 3-wire OS)
rms_voltage = sqrt(Resistivity*(Power Transmitted^2*Length^2)/(3*Area Of 3-Φ 3-wire system*Line Losses*(cos(Theta)^2))) Go
Power Factor Using Area Of X-section(3-phase 3-wire OS)
power_factor = sqrt(2*Resistivity*(Power Transmitted^2*Length^2)/(3*Area Of 3-Φ 3-wire system*Line Losses*(Maximum Voltage^2))) Go
Line Losses Using Area Of X-section(3-phase 3-wire OS)
line_losses = (2*Length*Resistivity*(Power Transmitted^2))/(3*Area Of 3-Φ 3-wire system*(Maximum Voltage^2)*((cos(Theta))^2)) Go
Length Of Wire Using Area Of X-section(3-phase 3-wire OS)
length = 3*Area Of 3-Φ 3-wire system*(Maximum Voltage^2)*Line Losses*((cos(Theta))^2)/(2*Resistivity*(Power Transmitted^2)) Go
Resistivity Using Area Of X-section(3-phase 3-wire OS)
resistivity = 3*Area Of 3-Φ 3-wire system*(Maximum Voltage^2)*Line Losses*((cos(Theta))^2)/(2*Length*(Power Transmitted^2)) Go

Angle Of PF Using Area Of X-section(3-phase 3-wire OS) Formula

theta = acos(sqrt(2*Resistivity*(Power Transmitted^2*Length^2)/(3*Area Of 3-Φ 3-wire system*Line Losses*(Maximum Voltage^2))))
ϑ = acos(sqrt(2*ρ*(P^2*l^2)/(3*a9*W*(Vm^2))))

How is a three-wire three-phase system is better than a two-wire single-phase system?

A three-wire, three-phase system can then transmit 73% more power than a two-wire, single-phase system by just the addition of one wire. A three-phase system also has some major advantages in the generation and use of electricity by rotating machines as will be explained later.

How to Calculate Angle Of PF Using Area Of X-section(3-phase 3-wire OS)?

Angle Of PF Using Area Of X-section(3-phase 3-wire OS) calculator uses theta = acos(sqrt(2*Resistivity*(Power Transmitted^2*Length^2)/(3*Area Of 3-Φ 3-wire system*Line Losses*(Maximum Voltage^2)))) to calculate the Theta, The Angle Of PF Using Area Of X-section(3-phase 3-wire OS) formula is defined as the phase angle between reactive and active power. Theta and is denoted by ϑ symbol.

How to calculate Angle Of PF Using Area Of X-section(3-phase 3-wire OS) using this online calculator? To use this online calculator for Angle Of PF Using Area Of X-section(3-phase 3-wire OS), enter Resistivity (ρ), Power Transmitted (P), Length (l), Area Of 3-Φ 3-wire system (a9), Line Losses (W) and Maximum Voltage (Vm) and hit the calculate button. Here is how the Angle Of PF Using Area Of X-section(3-phase 3-wire OS) calculation can be explained with given input values -> 46.59237 = acos(sqrt(2*1.7E-05*(10000^2*3^2)/(3*10*0.6*(60^2)))).

FAQ

What is Angle Of PF Using Area Of X-section(3-phase 3-wire OS)?
The Angle Of PF Using Area Of X-section(3-phase 3-wire OS) formula is defined as the phase angle between reactive and active power and is represented as ϑ = acos(sqrt(2*ρ*(P^2*l^2)/(3*a9*W*(Vm^2)))) or theta = acos(sqrt(2*Resistivity*(Power Transmitted^2*Length^2)/(3*Area Of 3-Φ 3-wire system*Line Losses*(Maximum Voltage^2)))). Resistivity is the measure of how strongly a material opposes the flow of current through them, The Power Transmitted Value through a shaft, Length is the measurement or extent of something from end to end, The Area Of 3-Φ 3-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 Angle Of PF Using Area Of X-section(3-phase 3-wire OS)?
The Angle Of PF Using Area Of X-section(3-phase 3-wire OS) formula is defined as the phase angle between reactive and active power is calculated using theta = acos(sqrt(2*Resistivity*(Power Transmitted^2*Length^2)/(3*Area Of 3-Φ 3-wire system*Line Losses*(Maximum Voltage^2)))). To calculate Angle Of PF Using Area Of X-section(3-phase 3-wire OS), you need Resistivity (ρ), Power Transmitted (P), Length (l), Area Of 3-Φ 3-wire system (a9), Line Losses (W) and Maximum Voltage (Vm). With our tool, you need to enter the respective value for Resistivity, Power Transmitted, Length, Area Of 3-Φ 3-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 Theta?
In this formula, Theta uses Resistivity, Power Transmitted, Length, Area Of 3-Φ 3-wire system, Line Losses and Maximum Voltage. We can use 8 other way(s) to calculate the same, which is/are as follows -
  • length = 3*Area Of 3-Φ 3-wire system*(Maximum Voltage^2)*Line Losses*((cos(Theta))^2)/(2*Resistivity*(Power Transmitted^2))
  • resistivity = 3*Area Of 3-Φ 3-wire system*(Maximum Voltage^2)*Line Losses*((cos(Theta))^2)/(2*Length*(Power Transmitted^2))
  • power_transmitted = sqrt((3*Area Of 3-Φ 3-wire system*(Maximum Voltage^2)*Line Losses*((cos(Theta))^2))/(Resistivity*2*Length))
  • line_losses = (2*Length*Resistivity*(Power Transmitted^2))/(3*Area Of 3-Φ 3-wire system*(Maximum Voltage^2)*((cos(Theta))^2))
  • maximum_voltage = sqrt((2*Length*Resistivity*(Power Transmitted^2))/(3*Area Of 3-Φ 3-wire system*Line Losses*((cos(Theta))^2)))
  • rms_voltage = sqrt(Resistivity*(Power Transmitted^2*Length^2)/(3*Area Of 3-Φ 3-wire system*Line Losses*(cos(Theta)^2)))
  • theta = acos(sqrt(2*Resistivity*(Power Transmitted^2*Length^2)/(3*Area Of 3-Φ 3-wire system*Line Losses*(Maximum Voltage^2))))
  • power_factor = sqrt(2*Resistivity*(Power Transmitted^2*Length^2)/(3*Area Of 3-Φ 3-wire system*Line Losses*(Maximum Voltage^2)))
Where is the Angle Of PF Using Area Of X-section(3-phase 3-wire OS) calculator used?
Among many, Angle Of PF Using Area Of X-section(3-phase 3-wire OS) calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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