Credits

Vishwakarma Government Engineering College (VGEC), Ahmedabad
Urvi Rathod has created this Calculator and 1000+ more calculators!
Osmania University (OU), Hyderabad
Kethavath Srinath has verified this Calculator and 1000+ more calculators!

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

STEP 0: Pre-Calculation Summary
Formula Used
area10 = (Power Transmitted^2)*2*Resistivity*Length/(Line Losses*(Maximum Voltage^2)*(cos(Theta)^2))
a10 = (P^2)*2*ρ*l/(W*(Vm^2)*(cos(ϑ)^2))
This formula uses 1 Functions, 6 Variables
Functions Used
cos - Trigonometric cosine function, cos(Angle)
Variables Used
Power Transmitted - The Power Transmitted Value through a shaft. (Measured in Watt)
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)
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)
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
Power Transmitted: 10 Watt --> 10 Watt 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
Line Losses: 0.6 Watt --> 0.6 Watt 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
a10 = (P^2)*2*ρ*l/(W*(Vm^2)*(cos(ϑ)^2)) --> (10^2)*2*1.7E-05*3/(0.6*(60^2)*(cos(0.5235987755982)^2))
Evaluating ... ...
a10 = 6.2962962962963E-06
STEP 3: Convert Result to Output's Unit
6.2962962962963E-06 Square Meter --> No Conversion Required
FINAL ANSWER
6.2962962962963E-06 Square Meter <-- Area Of 3-Φ 4-wire system
(Calculation completed in 00.016 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

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

area10 = (Power Transmitted^2)*2*Resistivity*Length/(Line Losses*(Maximum Voltage^2)*(cos(Theta)^2))
a10 = (P^2)*2*ρ*l/(W*(Vm^2)*(cos(ϑ)^2))

What is cross sectional area of cable?

Most wire is made with a circular cross-section of some particular radius and diameter. ... Then we define the cross-sectional area simply as the square of the wire's diameter in mils and call that our area in units of “circular mils.” This makes number handling ever so much easier.

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

Area Of X-Section (3-phase 4-wire US) calculator uses area10 = (Power Transmitted^2)*2*Resistivity*Length/(Line Losses*(Maximum Voltage^2)*(cos(Theta)^2)) to calculate the Area Of 3-Φ 4-wire system, The Area Of X-Section (3-phase 4-wire US) formula is defined as the cross-sectional area simply as the square of the wire's diameter in mils and calls that our area in units of “circular mils.” This makes number handling ever so much easier. Area Of 3-Φ 4-wire system and is denoted by a10 symbol.

How to calculate Area Of X-Section (3-phase 4-wire US) using this online calculator? To use this online calculator for Area Of X-Section (3-phase 4-wire US), enter Power Transmitted (P), Resistivity (ρ), Length (l), Line Losses (W), Maximum Voltage (Vm) and Theta (ϑ) and hit the calculate button. Here is how the Area Of X-Section (3-phase 4-wire US) calculation can be explained with given input values -> 6.296E-6 = (10^2)*2*1.7E-05*3/(0.6*(60^2)*(cos(0.5235987755982)^2)).

FAQ

What is Area Of X-Section (3-phase 4-wire US)?
The Area Of X-Section (3-phase 4-wire US) formula is defined as the cross-sectional area simply as the square of the wire's diameter in mils and calls that our area in units of “circular mils.” This makes number handling ever so much easier and is represented as a10 = (P^2)*2*ρ*l/(W*(Vm^2)*(cos(ϑ)^2)) or area10 = (Power Transmitted^2)*2*Resistivity*Length/(Line Losses*(Maximum Voltage^2)*(cos(Theta)^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, Line Losses is defined as the losses that are produced in the line, 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 Area Of X-Section (3-phase 4-wire US)?
The Area Of X-Section (3-phase 4-wire US) formula is defined as the cross-sectional area simply as the square of the wire's diameter in mils and calls that our area in units of “circular mils.” This makes number handling ever so much easier is calculated using area10 = (Power Transmitted^2)*2*Resistivity*Length/(Line Losses*(Maximum Voltage^2)*(cos(Theta)^2)). To calculate Area Of X-Section (3-phase 4-wire US), you need Power Transmitted (P), Resistivity (ρ), Length (l), Line Losses (W), Maximum Voltage (Vm) and Theta (ϑ). With our tool, you need to enter the respective value for Power Transmitted, Resistivity, Length, Line Losses, 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 Area Of 3-Φ 4-wire system?
In this formula, Area Of 3-Φ 4-wire system uses Power Transmitted, Resistivity, Length, Line Losses, 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 Area Of X-Section (3-phase 4-wire US) calculator used?
Among many, 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 -
{FormulaExamplesList}
Share Image
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!