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## Credits

Vishwakarma Government Engineering College (VGEC), Ahmedabad
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## Line Losses Using Area Of X-Section (3-phase 4-wire US) Solution

STEP 0: Pre-Calculation Summary
Formula Used
line_losses = 2*Resistivity*Length*(Power Transmitted^2)/(Area Of 3-Φ 4-wire system*(Maximum Voltage^2)*(cos(Theta)^2))
W = 2*ρ*l*(P^2)/(a10*(Vm^2)*(cos(ϑ)^2))
This formula uses 1 Functions, 6 Variables
Functions Used
cos - Trigonometric cosine function, cos(Angle)
Variables Used
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)
Power Transmitted - The Power Transmitted Value through a shaft. (Measured in Kilowatt)
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)
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
Resistivity: 1.7E-05 Ohm Meter --> 1.7E-05 Ohm Meter No Conversion Required
Length: 3 Meter --> 3 Meter No Conversion Required
Power Transmitted: 10 Kilowatt --> 10000 Watt (Check conversion here)
Area Of 3-Φ 4-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*ρ*l*(P^2)/(a10*(Vm^2)*(cos(ϑ)^2)) --> 2*1.7E-05*3*(10000^2)/(10*(60^2)*(cos(0.5235987755982)^2))
Evaluating ... ...
W = 0.377777777777778
STEP 3: Convert Result to Output's Unit
0.377777777777778 Watt --> No Conversion Required
0.377777777777778 Watt <-- Line Losses
(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

### Line Losses Using Area Of X-Section (3-phase 4-wire US) Formula

line_losses = 2*Resistivity*Length*(Power Transmitted^2)/(Area Of 3-Φ 4-wire system*(Maximum Voltage^2)*(cos(Theta)^2))
W = 2*ρ*l*(P^2)/(a10*(Vm^2)*(cos(ϑ)^2))

## What is the average line loss?

System average line losses are in the range of six to ten percent on most. Power Plant Step Up Transformer Step DownDistribution Lines Transmission Lines Residence. 1 “Distribution” is, regrettably, an ambiguous term when discussing electric power.

## How to Calculate Line Losses Using Area Of X-Section (3-phase 4-wire US)?

Line Losses Using Area Of X-Section (3-phase 4-wire US) calculator uses line_losses = 2*Resistivity*Length*(Power Transmitted^2)/(Area Of 3-Φ 4-wire system*(Maximum Voltage^2)*(cos(Theta)^2)) to calculate the Line Losses, The Line Losses Using Area Of X-Section (3-phase 4-wire US) 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 4-wire US) using this online calculator? To use this online calculator for Line Losses Using Area Of X-Section (3-phase 4-wire US), enter Resistivity (ρ), Length (l), Power Transmitted (P), Area Of 3-Φ 4-wire system (a10), Maximum Voltage (Vm) and Theta (ϑ) and hit the calculate button. Here is how the Line Losses Using Area Of X-Section (3-phase 4-wire US) calculation can be explained with given input values -> 0.377778 = 2*1.7E-05*3*(10000^2)/(10*(60^2)*(cos(0.5235987755982)^2)).

### FAQ

What is Line Losses Using Area Of X-Section (3-phase 4-wire US)?
The Line Losses Using Area Of X-Section (3-phase 4-wire US) 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*ρ*l*(P^2)/(a10*(Vm^2)*(cos(ϑ)^2)) or line_losses = 2*Resistivity*Length*(Power Transmitted^2)/(Area Of 3-Φ 4-wire system*(Maximum Voltage^2)*(cos(Theta)^2)). 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 Power Transmitted Value through a shaft, The Area Of 3-Φ 4-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 4-wire US)?
The Line Losses Using Area Of X-Section (3-phase 4-wire US) 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*Resistivity*Length*(Power Transmitted^2)/(Area Of 3-Φ 4-wire system*(Maximum Voltage^2)*(cos(Theta)^2)). To calculate Line Losses Using Area Of X-Section (3-phase 4-wire US), you need Resistivity (ρ), Length (l), Power Transmitted (P), Area Of 3-Φ 4-wire system (a10), Maximum Voltage (Vm) and Theta (ϑ). With our tool, you need to enter the respective value for Resistivity, Length, Power Transmitted, Area Of 3-Φ 4-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 Resistivity, Length, Power Transmitted, Area Of 3-Φ 4-wire system, Maximum Voltage and Theta. 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 Line Losses Using Area Of X-Section (3-phase 4-wire US) calculator used?
Among many, Line Losses 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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