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## Credits

Vishwakarma Government Engineering College (VGEC), Ahmedabad
Urvi Rathod has created this Calculator and 1000+ more calculators!
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## Power Transmitted Using Area Of X-Section (3-phase 4-wire US) Solution

STEP 0: Pre-Calculation Summary
Formula Used
transmitted_power = Maximum Voltage*cos(Theta)*sqrt(Area Of 2-Φ 4-wire system*Line Losses/(2*Resistivity*Length))
P = Vm*cos(ϑ)*sqrt(a7*W/(2*ρ*l))
This formula uses 2 Functions, 6 Variables
Functions Used
cos - Trigonometric cosine function, cos(Angle)
sqrt - Squre root function, sqrt(Number)
Variables Used
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)
Area Of 2-Φ 4-wire system - The Area Of 2-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)
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)
STEP 1: Convert Input(s) to Base Unit
Maximum Voltage: 60 Volt --> 60 Volt No Conversion Required
Theta: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
Area Of 2-Φ 4-wire system: 7 Square Meter --> 7 Square Meter No Conversion Required
Line Losses: 0.6 Watt --> 0.6 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
STEP 2: Evaluate Formula
Substituting Input Values in Formula
P = Vm*cos(ϑ)*sqrt(a7*W/(2*ρ*l)) --> 60*cos(0.5235987755982)*sqrt(7*0.6/(2*1.7E-05*3))
Evaluating ... ...
P = 10544.0253503221
STEP 3: Convert Result to Output's Unit
10544.0253503221 Watt --> No Conversion Required
10544.0253503221 Watt <-- Power Transmitted
(Calculation completed in 00.055 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 Transmitted Using Area Of X-Section (3-phase 4-wire US) Formula

transmitted_power = Maximum Voltage*cos(Theta)*sqrt(Area Of 2-Φ 4-wire system*Line Losses/(2*Resistivity*Length))
P = Vm*cos(ϑ)*sqrt(a7*W/(2*ρ*l))

## Why is power transmission needed?

Mechanical power transmission and its elements are used for the following reasons; Generated power or energy can be converted into a useful form. Physical constraints limit the power generation at the place where its used hence it can be transferred from source to a place where it is needed.

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

Power Transmitted Using Area Of X-Section (3-phase 4-wire US) calculator uses transmitted_power = Maximum Voltage*cos(Theta)*sqrt(Area Of 2-Φ 4-wire system*Line Losses/(2*Resistivity*Length)) to calculate the Power Transmitted, The Power Transmitted Using Area Of X-Section (3-phase 4-wire US) formula is defined as the bulk movement of electrical energy from a generating site, such as a power station or power plant, to an electrical substation where voltage is transformed and distributed to consumers or other substations. Power Transmitted and is denoted by P symbol.

How to calculate Power Transmitted Using Area Of X-Section (3-phase 4-wire US) using this online calculator? To use this online calculator for Power Transmitted Using Area Of X-Section (3-phase 4-wire US), enter Maximum Voltage (Vm), Theta (ϑ), Area Of 2-Φ 4-wire system (a7), Line Losses (W), Resistivity (ρ) and Length (l) and hit the calculate button. Here is how the Power Transmitted Using Area Of X-Section (3-phase 4-wire US) calculation can be explained with given input values -> 10544.03 = 60*cos(0.5235987755982)*sqrt(7*0.6/(2*1.7E-05*3)).

### FAQ

What is Power Transmitted Using Area Of X-Section (3-phase 4-wire US)?
The Power Transmitted Using Area Of X-Section (3-phase 4-wire US) formula is defined as the bulk movement of electrical energy from a generating site, such as a power station or power plant, to an electrical substation where voltage is transformed and distributed to consumers or other substations and is represented as P = Vm*cos(ϑ)*sqrt(a7*W/(2*ρ*l)) or transmitted_power = Maximum Voltage*cos(Theta)*sqrt(Area Of 2-Φ 4-wire system*Line Losses/(2*Resistivity*Length)). Maximum Voltage the highest voltage rating for electrical devices, Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint, The Area Of 2-Φ 4-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, Resistivity is the measure of how strongly a material opposes the flow of current through them and Length is the measurement or extent of something from end to end.
How to calculate Power Transmitted Using Area Of X-Section (3-phase 4-wire US)?
The Power Transmitted Using Area Of X-Section (3-phase 4-wire US) formula is defined as the bulk movement of electrical energy from a generating site, such as a power station or power plant, to an electrical substation where voltage is transformed and distributed to consumers or other substations is calculated using transmitted_power = Maximum Voltage*cos(Theta)*sqrt(Area Of 2-Φ 4-wire system*Line Losses/(2*Resistivity*Length)). To calculate Power Transmitted Using Area Of X-Section (3-phase 4-wire US), you need Maximum Voltage (Vm), Theta (ϑ), Area Of 2-Φ 4-wire system (a7), Line Losses (W), Resistivity (ρ) and Length (l). With our tool, you need to enter the respective value for Maximum Voltage, Theta, Area Of 2-Φ 4-wire system, Line Losses, Resistivity and Length 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 Power Transmitted?
In this formula, Power Transmitted uses Maximum Voltage, Theta, Area Of 2-Φ 4-wire system, Line Losses, Resistivity and Length. 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 Transmitted Using Area Of X-Section (3-phase 4-wire US) calculator used?
Among many, Power Transmitted 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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