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Line Losses Using Area Of X-section(3-phase 3-wire OS) Solution

STEP 0: Pre-Calculation Summary
Formula Used
line_losses = (2*Length*Resistivity*(Power Transmitted^2))/(3*Area Of 3-Φ 3-wire system*(Maximum Voltage^2)*((cos(Theta))^2))
W = (2*l*ρ*(P^2))/(3*a9*(Vm^2)*((cos(ϑ))^2))
This formula uses 1 Functions, 6 Variables
Functions Used
cos - Trigonometric cosine function, cos(Angle)
Variables Used
Length - Length is the measurement or extent of something from end to end. (Measured in Meter)
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)
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)
Maximum Voltage - Maximum Voltage the highest voltage rating for electrical devices (Measured in Volt)
Theta - Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint. (Measured in Degree)
STEP 1: Convert Input(s) to Base Unit
Length: 3 Meter --> 3 Meter No Conversion Required
Resistivity: 1.7E-05 Ohm Meter --> 1.7E-05 Ohm Meter No Conversion Required
Power Transmitted: 10 Kilowatt --> 10000 Watt (Check conversion here)
Area Of 3-Φ 3-wire system: 10 Square Meter --> 10 Square Meter No Conversion Required
Maximum Voltage: 60 Volt --> 60 Volt No Conversion Required
Theta: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
W = (2*l*ρ*(P^2))/(3*a9*(Vm^2)*((cos(ϑ))^2)) --> (2*3*1.7E-05*(10000^2))/(3*10*(60^2)*((cos(0.5235987755982))^2))
Evaluating ... ...
W = 0.125925925925926
STEP 3: Convert Result to Output's Unit
0.125925925925926 Watt --> No Conversion Required
FINAL ANSWER
0.125925925925926 Watt <-- Line Losses
(Calculation completed in 00.023 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

Line Losses Using Area Of X-section(3-phase 3-wire OS) Formula

line_losses = (2*Length*Resistivity*(Power Transmitted^2))/(3*Area Of 3-Φ 3-wire system*(Maximum Voltage^2)*((cos(Theta))^2))
W = (2*l*ρ*(P^2))/(3*a9*(Vm^2)*((cos(ϑ))^2))

What is the value of maximum voltage and volume of conductor material in 3-phase 3-wire system?

The volume of conductor material required in this system is 0.5/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 Line Losses Using Area Of X-section(3-phase 3-wire OS)?

Line Losses Using Area Of X-section(3-phase 3-wire OS) calculator uses line_losses = (2*Length*Resistivity*(Power Transmitted^2))/(3*Area Of 3-Φ 3-wire system*(Maximum Voltage^2)*((cos(Theta))^2)) to calculate the Line Losses, The Line Losses Using Area Of X-section(3-phase 3-wire OS) formula is defined as the loss of electric energy due to the heating of line wires by the current. Line Losses and is denoted by W symbol.

How to calculate Line Losses Using Area Of X-section(3-phase 3-wire OS) using this online calculator? To use this online calculator for Line Losses Using Area Of X-section(3-phase 3-wire OS), enter Length (l), Resistivity (ρ), Power Transmitted (P), Area Of 3-Φ 3-wire system (a9), Maximum Voltage (Vm) and Theta (ϑ) and hit the calculate button. Here is how the Line Losses Using Area Of X-section(3-phase 3-wire OS) calculation can be explained with given input values -> 0.125926 = (2*3*1.7E-05*(10000^2))/(3*10*(60^2)*((cos(0.5235987755982))^2)).

FAQ

What is Line Losses Using Area Of X-section(3-phase 3-wire OS)?
The Line Losses Using Area Of X-section(3-phase 3-wire OS) formula is defined as the loss of electric energy due to the heating of line wires by the current and is represented as W = (2*l*ρ*(P^2))/(3*a9*(Vm^2)*((cos(ϑ))^2)) or line_losses = (2*Length*Resistivity*(Power Transmitted^2))/(3*Area Of 3-Φ 3-wire system*(Maximum Voltage^2)*((cos(Theta))^2)). Length is the measurement or extent of something from end to end, Resistivity is the measure of how strongly a material opposes the flow of current through them, The Power Transmitted Value through a shaft, The Area Of 3-Φ 3-wire system is the amount of two-dimensional space taken up by an object, Maximum Voltage the highest voltage rating for electrical devices and Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.
How to calculate Line Losses Using Area Of X-section(3-phase 3-wire OS)?
The Line Losses Using Area Of X-section(3-phase 3-wire OS) formula is defined as the loss of electric energy due to the heating of line wires by the current is calculated using line_losses = (2*Length*Resistivity*(Power Transmitted^2))/(3*Area Of 3-Φ 3-wire system*(Maximum Voltage^2)*((cos(Theta))^2)). To calculate Line Losses Using Area Of X-section(3-phase 3-wire OS), you need Length (l), Resistivity (ρ), Power Transmitted (P), Area Of 3-Φ 3-wire system (a9), Maximum Voltage (Vm) and Theta (ϑ). With our tool, you need to enter the respective value for Length, Resistivity, Power Transmitted, Area Of 3-Φ 3-wire system, Maximum Voltage and Theta 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 Line Losses?
In this formula, Line Losses uses Length, Resistivity, Power Transmitted, Area Of 3-Φ 3-wire system, Maximum Voltage and Theta. 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 Line Losses Using Area Of X-section(3-phase 3-wire OS) calculator used?
Among many, Line Losses 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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