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## Credits

Vishwakarma Government Engineering College (VGEC), Ahmedabad
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Birsa Institute of Technology (BIT), Sindri
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## Power Transmitted Using Area Of X-section(3-phase 4-wire OS) Solution

STEP 0: Pre-Calculation Summary
Formula Used
power_transmitted = sqrt((3*Area Of 3-Φ 4-wire system*(Maximum Voltage^2)*Line Losses*((cos(Theta))^2))/(Resistivity*2*Length))
P = sqrt((3*a10*(Vm^2)*W*((cos(ϑ))^2))/(ρ*2*l))
This formula uses 2 Functions, 6 Variables
Functions Used
cos - Trigonometric cosine function, cos(Angle)
sqrt - Squre root function, sqrt(Number)
Variables Used
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)
Line Losses - Line Losses is defined as the losses that are produced in the line. (Measured in Watt)
Theta - Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint. (Measured in Degree)
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
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
Line Losses: 0.6 Watt --> 0.6 Watt No Conversion Required
Theta: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
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 = sqrt((3*a10*(Vm^2)*W*((cos(ϑ))^2))/(ρ*2*l)) --> sqrt((3*10*(60^2)*0.6*((cos(0.5235987755982))^2))/(1.7E-05*2*3))
Evaluating ... ...
P = 21828.20625327
STEP 3: Convert Result to Output's Unit
21828.20625327 Watt -->21.82820625327 Kilowatt (Check conversion here)
21.82820625327 Kilowatt <-- Power Transmitted
(Calculation completed in 00.031 seconds)

## < 8 Area Of X-Section Calculators

Power Transmitted Using Area Of X-section(3-phase 4-wire OS)
power_transmitted = sqrt((3*Area Of 3-Φ 4-wire system*(Maximum Voltage^2)*Line Losses*((cos(Theta))^2))/(Resistivity*2*Length)) Go
Maximum Voltage Using Area Of X-section(3-phase 4-wire OS)
maximum_voltage = sqrt((2*Length*Resistivity*(Power Transmitted^2))/(3*Area Of 3-Φ 4-wire system*Line Losses*((cos(Theta))^2))) Go
Angle Of PF Using Area Of X-section(3-phase 4-wire OS)
theta = acos(sqrt(2*Resistivity*Length*(Power Transmitted^2)/(3*Area Of 3-Φ 4-wire system*Line Losses*(Maximum Voltage^2)))) Go
Line Losses Using Area Of X-section(3-phase 4-wire OS)
line_losses = (2*Length*Resistivity*(Power Transmitted^2))/(3*Area Of 3-Φ 4-wire system*(Maximum Voltage^2)*((cos(Theta))^2)) Go
Length Of Wire Using Area Of X-section(3-phase 4-wire OS)
length = 3*Area Of 3-Φ 4-wire system*(Maximum Voltage^2)*Line Losses*((cos(Theta))^2)/(2*Resistivity*(Power Transmitted^2)) Go
Resistivity Using Area Of X-section(3-phase 4-wire OS)
resistivity = 3*Area Of 3-Φ 4-wire system*(Maximum Voltage^2)*Line Losses*((cos(Theta))^2)/(2*Length*(Power Transmitted^2)) Go
RMS Voltage Using Area Of X-section(3-phase 4-wire OS)
rms_voltage = (Power Transmitted/cos(Theta))*sqrt(Resistivity*Length/(3*Area Of 3-Φ 4-wire system)) Go
Power Factor Using Area Of X-section(3-phase 4-wire OS)
power_factor = (Power Transmitted/Maximum Voltage)*sqrt(2*Resistivity*Length/(3*Area Of 3-Φ 4-wire system)) Go

### Power Transmitted Using Area Of X-section(3-phase 4-wire OS) Formula

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

## What is the value of maximum voltage and volume of conductor material in 3-phase 4-wire system?

The volume of conductor material required in this system is 7/12cos2θ 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 Power Transmitted Using Area Of X-section(3-phase 4-wire OS)?

Power Transmitted Using Area Of X-section(3-phase 4-wire OS) calculator uses power_transmitted = sqrt((3*Area Of 3-Φ 4-wire system*(Maximum Voltage^2)*Line Losses*((cos(Theta))^2))/(Resistivity*2*Length)) to calculate the Power Transmitted, The Power Transmitted Using Area Of X-section(3-phase 4-wire OS) 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 OS) using this online calculator? To use this online calculator for Power Transmitted Using Area Of X-section(3-phase 4-wire OS), enter Area Of 3-Φ 4-wire system (a10), Maximum Voltage (Vm), Line Losses (W), Theta (ϑ), 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 OS) calculation can be explained with given input values -> 21.82821 = sqrt((3*10*(60^2)*0.6*((cos(0.5235987755982))^2))/(1.7E-05*2*3)).

### FAQ

What is Power Transmitted Using Area Of X-section(3-phase 4-wire OS)?
The Power Transmitted Using Area Of X-section(3-phase 4-wire OS) 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 = sqrt((3*a10*(Vm^2)*W*((cos(ϑ))^2))/(ρ*2*l)) or power_transmitted = sqrt((3*Area Of 3-Φ 4-wire system*(Maximum Voltage^2)*Line Losses*((cos(Theta))^2))/(Resistivity*2*Length)). 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, Line Losses is defined as the losses that are produced in the line, Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint, 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 OS)?
The Power Transmitted Using Area Of X-section(3-phase 4-wire OS) 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 power_transmitted = sqrt((3*Area Of 3-Φ 4-wire system*(Maximum Voltage^2)*Line Losses*((cos(Theta))^2))/(Resistivity*2*Length)). To calculate Power Transmitted Using Area Of X-section(3-phase 4-wire OS), you need Area Of 3-Φ 4-wire system (a10), Maximum Voltage (Vm), Line Losses (W), Theta (ϑ), Resistivity (ρ) and Length (l). With our tool, you need to enter the respective value for Area Of 3-Φ 4-wire system, Maximum Voltage, Line Losses, Theta, 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 Area Of 3-Φ 4-wire system, Maximum Voltage, Line Losses, Theta, Resistivity and Length. We can use 8 other way(s) to calculate the same, which is/are as follows -
• length = 3*Area Of 3-Φ 4-wire system*(Maximum Voltage^2)*Line Losses*((cos(Theta))^2)/(2*Resistivity*(Power Transmitted^2))
• resistivity = 3*Area Of 3-Φ 4-wire system*(Maximum Voltage^2)*Line Losses*((cos(Theta))^2)/(2*Length*(Power Transmitted^2))
• power_transmitted = sqrt((3*Area Of 3-Φ 4-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 4-wire system*(Maximum Voltage^2)*((cos(Theta))^2))
• maximum_voltage = sqrt((2*Length*Resistivity*(Power Transmitted^2))/(3*Area Of 3-Φ 4-wire system*Line Losses*((cos(Theta))^2)))
• rms_voltage = (Power Transmitted/cos(Theta))*sqrt(Resistivity*Length/(3*Area Of 3-Φ 4-wire system))
• power_factor = (Power Transmitted/Maximum Voltage)*sqrt(2*Resistivity*Length/(3*Area Of 3-Φ 4-wire system))
• theta = acos(sqrt(2*Resistivity*Length*(Power Transmitted^2)/(3*Area Of 3-Φ 4-wire system*Line Losses*(Maximum Voltage^2))))
Where is the Power Transmitted Using Area Of X-section(3-phase 4-wire OS) calculator used?
Among many, Power Transmitted Using Area Of X-section(3-phase 4-wire OS) calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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