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## Credits

Vishwakarma Government Engineering College (VGEC), Ahmedabad
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## Angle Using Area Of X-section (1-phase 3-wire US) Solution

STEP 0: Pre-Calculation Summary
Formula Used
theta = acos((2*Power Transmitted/Maximum Voltage)*sqrt(Resistivity*Length/(Line Losses*Area Of 1-Φ 3-wire system)))
ϑ = acos((2*P/Vm)*sqrt(ρ*l/(W*a6)))
This formula uses 3 Functions, 6 Variables
Functions Used
cos - Trigonometric cosine function, cos(Angle)
acos - Inverse trigonometric cosine function, acos(Number)
sqrt - Squre root function, sqrt(Number)
Variables Used
Power Transmitted - The Power Transmitted Value through a shaft. (Measured in Watt)
Maximum Voltage - Maximum Voltage the highest voltage rating for electrical devices (Measured in Volt)
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)
Area Of 1-Φ 3-wire system - The Area Of 1-Φ 3-wire system is the amount of two-dimensional space taken up by an object. (Measured in Square Meter)
STEP 1: Convert Input(s) to Base Unit
Power Transmitted: 10 Watt --> 10 Watt No Conversion Required
Maximum Voltage: 60 Volt --> 60 Volt 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
Area Of 1-Φ 3-wire system: 6 Square Meter --> 6 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ϑ = acos((2*P/Vm)*sqrt(ρ*l/(W*a6))) --> acos((2*10/60)*sqrt(1.7E-05*3/(0.6*6)))
Evaluating ... ...
ϑ = 1.5695417053779
STEP 3: Convert Result to Output's Unit
1.5695417053779 Radian -->89.9281154879365 Degree (Check conversion here)
89.9281154879365 Degree <-- Theta
(Calculation completed in 00.024 seconds)

## < 9 Area Of X-Section Calculators

Power Transmitted Using Area Of X-section (1-phase 3-wire US)
transmitted_power = sqrt(Area Of 1-Φ 3-wire system*Line Losses*(Maximum Voltage^2)*(cos(Theta)^2)/(4*Resistivity*Length)) Go
Angle Using Area Of X-section (1-phase 3-wire US)
theta = acos((2*Power Transmitted/Maximum Voltage)*sqrt(Resistivity*Length/(Line Losses*Area Of 1-Φ 3-wire system))) Go
Maximum Voltage Using Area Of X-section (1-phase 3-wire US)
maximum_voltage = (2*Power Transmitted/cos(Theta))*sqrt(Resistivity*Length/(Line Losses*Area Of 1-Φ 3-wire system)) Go
RMS Voltage Using Area Of X-section (1-phase 3-wire US)
rms_voltage = (Power Transmitted/cos(Theta))*sqrt(2*Resistivity*Length/(Line Losses*Area Of 1-Φ 3-wire system)) Go
Power Factor Using Area Of X-section (1-phase 3-wire US)
power_factor = ((2*Power Transmitted/Maximum Voltage)*sqrt(Resistivity*Length/(Line Losses*Area Of 1-Φ 3-wire system))) Go
Resistivity Using Area Of X-section (1-phase 3-wire US)
resistivity = Area Of 1-Φ 3-wire system*Line Losses*(Maximum Voltage^2)*(cos(Theta)^2)/(4*(Power Transmitted^2)*Length) Go
Length Using Area Of X-section (1-phase 3-wire US)
length = Area Of 1-Φ 3-wire system*Line Losses*(Maximum Voltage^2)*(cos(Theta)^2)/(4*(Power Transmitted^2)*Resistivity) Go
Line Losses Using Area Of X-section (1-phase 3-wire US)
line_losses = 2*Resistivity*Length*(Power Transmitted^2)/(Area Of 1-Φ 3-wire system*(Maximum Voltage^2*cos(Theta)^2)) Go
Load Current Using Area Of X-section (1-phase 3-wire US)
current6 = sqrt(Line Losses*Area/(Resistivity*Length*2)) Go

### Angle Using Area Of X-section (1-phase 3-wire US) Formula

theta = acos((2*Power Transmitted/Maximum Voltage)*sqrt(Resistivity*Length/(Line Losses*Area Of 1-Φ 3-wire system)))
ϑ = acos((2*P/Vm)*sqrt(ρ*l/(W*a6)))

## How do you calculate power factor?

Power factor (PF) is the ratio of working power, measured in kilowatts (kW), to apparent power, measured in kilovolt amperes (kVA). Apparent power, also known as demand, is the measure of the amount of power used to run machinery and equipment during a certain period. It is found by multiplying (kVA = V x A).

## How to Calculate Angle Using Area Of X-section (1-phase 3-wire US)?

Angle Using Area Of X-section (1-phase 3-wire US) calculator uses theta = acos((2*Power Transmitted/Maximum Voltage)*sqrt(Resistivity*Length/(Line Losses*Area Of 1-Φ 3-wire system))) to calculate the Theta, The Angle Using Area Of X-section (1-phase 3-wire US) formula is defined as the phase angle between reactive and active power. Theta and is denoted by ϑ symbol.

How to calculate Angle Using Area Of X-section (1-phase 3-wire US) using this online calculator? To use this online calculator for Angle Using Area Of X-section (1-phase 3-wire US), enter Power Transmitted (P), Maximum Voltage (Vm), Resistivity (ρ), Length (l), Line Losses (W) and Area Of 1-Φ 3-wire system (a6) and hit the calculate button. Here is how the Angle Using Area Of X-section (1-phase 3-wire US) calculation can be explained with given input values -> 89.92812 = acos((2*10/60)*sqrt(1.7E-05*3/(0.6*6))).

### FAQ

What is Angle Using Area Of X-section (1-phase 3-wire US)?
The Angle Using Area Of X-section (1-phase 3-wire US) formula is defined as the phase angle between reactive and active power and is represented as ϑ = acos((2*P/Vm)*sqrt(ρ*l/(W*a6))) or theta = acos((2*Power Transmitted/Maximum Voltage)*sqrt(Resistivity*Length/(Line Losses*Area Of 1-Φ 3-wire system))). The Power Transmitted Value through a shaft, Maximum Voltage the highest voltage rating for electrical devices, 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 and The Area Of 1-Φ 3-wire system is the amount of two-dimensional space taken up by an object.
How to calculate Angle Using Area Of X-section (1-phase 3-wire US)?
The Angle Using Area Of X-section (1-phase 3-wire US) formula is defined as the phase angle between reactive and active power is calculated using theta = acos((2*Power Transmitted/Maximum Voltage)*sqrt(Resistivity*Length/(Line Losses*Area Of 1-Φ 3-wire system))). To calculate Angle Using Area Of X-section (1-phase 3-wire US), you need Power Transmitted (P), Maximum Voltage (Vm), Resistivity (ρ), Length (l), Line Losses (W) and Area Of 1-Φ 3-wire system (a6). With our tool, you need to enter the respective value for Power Transmitted, Maximum Voltage, Resistivity, Length, Line Losses and Area Of 1-Φ 3-wire system 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 Theta?
In this formula, Theta uses Power Transmitted, Maximum Voltage, Resistivity, Length, Line Losses and Area Of 1-Φ 3-wire system. We can use 9 other way(s) to calculate the same, which is/are as follows -
• transmitted_power = sqrt(Area Of 1-Φ 3-wire system*Line Losses*(Maximum Voltage^2)*(cos(Theta)^2)/(4*Resistivity*Length))
• resistivity = Area Of 1-Φ 3-wire system*Line Losses*(Maximum Voltage^2)*(cos(Theta)^2)/(4*(Power Transmitted^2)*Length)
• length = Area Of 1-Φ 3-wire system*Line Losses*(Maximum Voltage^2)*(cos(Theta)^2)/(4*(Power Transmitted^2)*Resistivity)
• maximum_voltage = (2*Power Transmitted/cos(Theta))*sqrt(Resistivity*Length/(Line Losses*Area Of 1-Φ 3-wire system))
• rms_voltage = (Power Transmitted/cos(Theta))*sqrt(2*Resistivity*Length/(Line Losses*Area Of 1-Φ 3-wire system))
• power_factor = ((2*Power Transmitted/Maximum Voltage)*sqrt(Resistivity*Length/(Line Losses*Area Of 1-Φ 3-wire system)))
• theta = acos((2*Power Transmitted/Maximum Voltage)*sqrt(Resistivity*Length/(Line Losses*Area Of 1-Φ 3-wire system)))
• current6 = sqrt(Line Losses*Area/(Resistivity*Length*2))
• line_losses = 2*Resistivity*Length*(Power Transmitted^2)/(Area Of 1-Φ 3-wire system*(Maximum Voltage^2*cos(Theta)^2))
Where is the Angle Using Area Of X-section (1-phase 3-wire US) calculator used?
Among many, Angle Using Area Of X-section (1-phase 3-wire US) calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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