Angle using Load Current (2 Phase 4 Wire US) Solution

STEP 0: Pre-Calculation Summary
Formula Used
Phase Difference = acos(sqrt(2)*Power Transmitted/(Maximum Voltage Underground AC*Current Underground AC))
Φ = acos(sqrt(2)*P/(Vm*I))
This formula uses 3 Functions, 4 Variables
Functions Used
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)
acos - The inverse cosine function, is the inverse function of the cosine function. It is the function that takes a ratio as an input and returns the angle whose cosine is equal to that ratio., acos(Number)
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Phase Difference - (Measured in Radian) - Phase Difference is defined as the difference between the phasor of apparent and real power (in degrees) or between voltage and current in an ac circuit.
Power Transmitted - (Measured in Watt) - Power Transmitted is the amount of power that is transferred from its place of generation to a location where it is applied to perform useful work.
Maximum Voltage Underground AC - (Measured in Volt) - Maximum Voltage Underground AC is defined as the peak amplitude of the AC voltage supplied to the line or wire.
Current Underground AC - (Measured in Ampere) - Current Underground AC is defined as the current flowing through the overhead ac supply wire.
STEP 1: Convert Input(s) to Base Unit
Power Transmitted: 300 Watt --> 300 Watt No Conversion Required
Maximum Voltage Underground AC: 230 Volt --> 230 Volt No Conversion Required
Current Underground AC: 9 Ampere --> 9 Ampere No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Φ = acos(sqrt(2)*P/(Vm*I)) --> acos(sqrt(2)*300/(230*9))
Evaluating ... ...
Φ = 1.36437503282367
STEP 3: Convert Result to Output's Unit
1.36437503282367 Radian -->78.1729310538342 Degree (Check conversion ​here)
FINAL ANSWER
78.1729310538342 78.17293 Degree <-- Phase Difference
(Calculation completed in 00.004 seconds)

Credits

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Vishwakarma Government Engineering College (VGEC), Ahmedabad
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Power and Power Factor Calculators

Power Transmitted using Area of X-Section (2 Phase 4 Wire US)
​ LaTeX ​ Go Power Transmitted = Maximum Voltage Underground AC*cos(Phase Difference)*sqrt(Area of Underground AC Wire*Line Losses/(4*Resistivity*Length of Underground AC Wire))
Power Factor using Area of X-Section (2 Phase 4 Wire US)
​ LaTeX ​ Go Power Factor = ((2)*Power Transmitted/Maximum Voltage Underground AC)*sqrt(Resistivity*Length of Underground AC Wire/(Line Losses*Area of Underground AC Wire))
Power Transmitted using Line Losses (2 Phase 4 Wire US)
​ LaTeX ​ Go Power Transmitted = Maximum Voltage Underground AC*cos(Phase Difference)*sqrt(Line Losses/(4*Resistance Underground AC))
Power Factor using Line Losses (2 Phase 4 Wire US)
​ LaTeX ​ Go Power Factor = sqrt(4*(Power Transmitted^2)*Resistance Underground AC/(Line Losses*(Maximum Voltage Underground AC^2)))

Angle using Load Current (2 Phase 4 Wire US) Formula

​LaTeX ​Go
Phase Difference = acos(sqrt(2)*Power Transmitted/(Maximum Voltage Underground AC*Current Underground AC))
Φ = acos(sqrt(2)*P/(Vm*I))

What is the value of maximum voltage in 2-phase 4-wire underground system?

The maximum voltage between conductors is vm so that r.m.s. value of voltage between them is vm/√2.

How to Calculate Angle using Load Current (2 Phase 4 Wire US)?

Angle using Load Current (2 Phase 4 Wire US) calculator uses Phase Difference = acos(sqrt(2)*Power Transmitted/(Maximum Voltage Underground AC*Current Underground AC)) to calculate the Phase Difference, The Angle using Load Current (2 phase 4 wire US) formula is defined as the phase angle between reactive and active power. Phase Difference is denoted by Φ symbol.

How to calculate Angle using Load Current (2 Phase 4 Wire US) using this online calculator? To use this online calculator for Angle using Load Current (2 Phase 4 Wire US), enter Power Transmitted (P), Maximum Voltage Underground AC (Vm) & Current Underground AC (I) and hit the calculate button. Here is how the Angle using Load Current (2 Phase 4 Wire US) calculation can be explained with given input values -> 4478.979 = acos(sqrt(2)*300/(230*9)).

FAQ

What is Angle using Load Current (2 Phase 4 Wire US)?
The Angle using Load Current (2 phase 4 wire US) formula is defined as the phase angle between reactive and active power and is represented as Φ = acos(sqrt(2)*P/(Vm*I)) or Phase Difference = acos(sqrt(2)*Power Transmitted/(Maximum Voltage Underground AC*Current Underground AC)). Power Transmitted is the amount of power that is transferred from its place of generation to a location where it is applied to perform useful work, Maximum Voltage Underground AC is defined as the peak amplitude of the AC voltage supplied to the line or wire & Current Underground AC is defined as the current flowing through the overhead ac supply wire.
How to calculate Angle using Load Current (2 Phase 4 Wire US)?
The Angle using Load Current (2 phase 4 wire US) formula is defined as the phase angle between reactive and active power is calculated using Phase Difference = acos(sqrt(2)*Power Transmitted/(Maximum Voltage Underground AC*Current Underground AC)). To calculate Angle using Load Current (2 Phase 4 Wire US), you need Power Transmitted (P), Maximum Voltage Underground AC (Vm) & Current Underground AC (I). With our tool, you need to enter the respective value for Power Transmitted, Maximum Voltage Underground AC & Current Underground AC and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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