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!

Power Transmitted Using Area Of X-Section(2-phase 4-wire OS) Solution

STEP 0: Pre-Calculation Summary
Formula Used
power_transmitted = sqrt((2*Area Of X-Section*(Maximum Voltage^2)*Line Losses*((cos(Theta))^2))/(Resistivity*Length))
P = sqrt((2*a*(Vm^2)*W*((cos(ϑ))^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
Area Of X-Section - Area Of X-Section 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.” (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 X-Section: 5 Square Meter --> 5 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((2*a*(Vm^2)*W*((cos(ϑ))^2))/(ρ*l)) --> sqrt((2*5*(60^2)*0.6*((cos(0.5235987755982))^2))/(1.7E-05*3))
Evaluating ... ...
P = 17822.6557735801
STEP 3: Convert Result to Output's Unit
17822.6557735801 Watt -->17.8226557735801 Kilowatt (Check conversion here)
FINAL ANSWER
17.8226557735801 Kilowatt <-- Power Transmitted
(Calculation completed in 00.016 seconds)

9 Area Of X-Section Calculators

Power Transmitted Using Area Of X-Section(2-phase 4-wire OS)
power_transmitted = sqrt((2*Area Of X-Section*(Maximum Voltage^2)*Line Losses*((cos(Theta))^2))/(Resistivity*Length)) Go
Maximum Voltage Using Area Of X-section(2-phase 4-wire OS)
maximum_voltage = sqrt((Length*Resistivity*(Power Transmitted^2))/(2*Area Of X-Section*Line Losses*((cos(Theta))^2))) Go
RMS Voltage Using Area Of X-Section(2-phase 4-wire OS)
rms_voltage = sqrt((Length*Resistivity*(Power Transmitted^2))/(Area Of X-Section*Line Losses*((cos(Theta))^2))) Go
Power Factor Using Area Of X-section(2-phase 4-wire OS)
power_factor = sqrt((Power Transmitted^2)*Resistivity*Length/(2*Area Of X-Section*Line Losses*(Maximum Voltage^2))) Go
Line Losses Using Area Of X-Section(2-phase 4-wire OS)
line_losses = (Length*Resistivity*(Power Transmitted^2))/(2*Area Of X-Section*(Maximum Voltage^2)*((cos(Theta))^2)) Go
Length Of Wire Using Area Of X-section(2-phase 4-wire OS)
length = 2*Area Of X-Section*(Maximum Voltage^2)*Line Losses*((cos(Theta))^2)/(Resistivity*(Power Transmitted^2)) Go
Resistivity Using Area Of X-Section(2-phase 4-wire OS)
resistivity = 2*Area Of X-Section*(Maximum Voltage^2)*Line Losses*((cos(Theta))^2)/(Length*(Power Transmitted^2)) Go
Load Current Using Area Of X-section(2-phase 4-wire OS)
load_current = sqrt(Line Losses*Area Of X-Section/((32)*Resistivity*Length)) Go
Volume Of Conductor Material Using Area Of X-Section(2-phase 4-wire OS)
volume_of_conductor_material = (4)*Area Of X-Section*Length Go

Power Transmitted Using Area Of X-Section(2-phase 4-wire OS) Formula

power_transmitted = sqrt((2*Area Of X-Section*(Maximum Voltage^2)*Line Losses*((cos(Theta))^2))/(Resistivity*Length))
P = sqrt((2*a*(Vm^2)*W*((cos(ϑ))^2))/(ρ*l))

What is the value of maximum voltage and volume of conductor material in 2-phase 4-wire system?

The volume of conductor material required in this system is 1/2cos2θ times that of 2-wire d.c.system with the one conductor earthed. The maximum voltage between conductors is 2vm so that r.m.s. value of voltage between them is √2vm.

How to Calculate Power Transmitted Using Area Of X-Section(2-phase 4-wire OS)?

Power Transmitted Using Area Of X-Section(2-phase 4-wire OS) calculator uses power_transmitted = sqrt((2*Area Of X-Section*(Maximum Voltage^2)*Line Losses*((cos(Theta))^2))/(Resistivity*Length)) to calculate the Power Transmitted, The Power Transmitted Using Area Of X-section(2-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(2-phase 4-wire OS) using this online calculator? To use this online calculator for Power Transmitted Using Area Of X-Section(2-phase 4-wire OS), enter Area Of X-Section (a), 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(2-phase 4-wire OS) calculation can be explained with given input values -> 17.82266 = sqrt((2*5*(60^2)*0.6*((cos(0.5235987755982))^2))/(1.7E-05*3)).

FAQ

What is Power Transmitted Using Area Of X-Section(2-phase 4-wire OS)?
The Power Transmitted Using Area Of X-section(2-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((2*a*(Vm^2)*W*((cos(ϑ))^2))/(ρ*l)) or power_transmitted = sqrt((2*Area Of X-Section*(Maximum Voltage^2)*Line Losses*((cos(Theta))^2))/(Resistivity*Length)). Area Of X-Section 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.”, 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(2-phase 4-wire OS)?
The Power Transmitted Using Area Of X-section(2-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((2*Area Of X-Section*(Maximum Voltage^2)*Line Losses*((cos(Theta))^2))/(Resistivity*Length)). To calculate Power Transmitted Using Area Of X-Section(2-phase 4-wire OS), you need Area Of X-Section (a), 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 X-Section, 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 X-Section, Maximum Voltage, Line Losses, Theta, Resistivity and Length. We can use 9 other way(s) to calculate the same, which is/are as follows -
  • line_losses = (Length*Resistivity*(Power Transmitted^2))/(2*Area Of X-Section*(Maximum Voltage^2)*((cos(Theta))^2))
  • maximum_voltage = sqrt((Length*Resistivity*(Power Transmitted^2))/(2*Area Of X-Section*Line Losses*((cos(Theta))^2)))
  • power_factor = sqrt((Power Transmitted^2)*Resistivity*Length/(2*Area Of X-Section*Line Losses*(Maximum Voltage^2)))
  • power_transmitted = sqrt((2*Area Of X-Section*(Maximum Voltage^2)*Line Losses*((cos(Theta))^2))/(Resistivity*Length))
  • resistivity = 2*Area Of X-Section*(Maximum Voltage^2)*Line Losses*((cos(Theta))^2)/(Length*(Power Transmitted^2))
  • length = 2*Area Of X-Section*(Maximum Voltage^2)*Line Losses*((cos(Theta))^2)/(Resistivity*(Power Transmitted^2))
  • volume_of_conductor_material = (4)*Area Of X-Section*Length
  • load_current = sqrt(Line Losses*Area Of X-Section/((32)*Resistivity*Length))
  • rms_voltage = sqrt((Length*Resistivity*(Power Transmitted^2))/(Area Of X-Section*Line Losses*((cos(Theta))^2)))
Where is the Power Transmitted Using Area Of X-Section(2-phase 4-wire OS) calculator used?
Among many, Power Transmitted Using Area Of X-Section(2-phase 4-wire OS) 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!