Power Transmitted using Current in Each Outer (2-Phase 3-Wire US) Solution

STEP 0: Pre-Calculation Summary
Formula Used
Power Transmitted = Current Underground AC*Maximum Voltage Underground AC*cos(Phase Difference)
P = I*Vm*cos(Φ)
This formula uses 1 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)
Variables Used
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.
Current Underground AC - (Measured in Ampere) - Current Underground AC is defined as the current flowing through the overhead ac supply wire.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Current Underground AC: 9 Ampere --> 9 Ampere No Conversion Required
Maximum Voltage Underground AC: 230 Volt --> 230 Volt No Conversion Required
Phase Difference: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
P = I*Vm*cos(Φ) --> 9*230*cos(0.5235987755982)
Evaluating ... ...
P = 1792.67258583379
STEP 3: Convert Result to Output's Unit
1792.67258583379 Watt --> No Conversion Required
FINAL ANSWER
1792.67258583379 1792.673 Watt <-- Power Transmitted
(Calculation completed in 00.004 seconds)

Credits

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8 Power & Power Factor Calculators

Transmitted Power using Line Losses (2-Phase 3-Wire US)
Go Power Transmitted = sqrt(Line Losses*Area of Underground AC Wire*(Maximum Voltage Underground AC*cos(Phase Difference))^2/((2+sqrt(2))*Resistivity*Length of Underground AC Wire))
Power Transmitted using Volume of Conductor Material (2 Phase 3 Wire US)
Go Power Transmitted = sqrt(Line Losses*Volume Of Conductor*(Maximum Voltage Underground AC*cos(Phase Difference))^2/(Resistivity*(((2+sqrt(2))*Length of Underground AC Wire)^2)))
Power Factor using Line Losses (2-Phase 3-Wire US)
Go Power Factor = (Power Transmitted/Maximum Voltage Underground AC)*sqrt((2+sqrt(2))*Resistivity*Length of Underground AC Wire/Line Losses*Area of Underground AC Wire)
Power Transmitted using Current in Neutral Wire (2-Phase 3-Wire US)
Go Power Transmitted = (Current Underground AC*Maximum Voltage Underground AC*cos(Phase Difference))/sqrt(2)
Power Factor using Current in Neutral Wire (2-Phase 3-Wire US)
Go Power Factor = sqrt(2)*Power Transmitted/(Current Underground AC*Maximum Voltage Underground AC)
Power Transmitted using Current in Each Outer (2-Phase 3-Wire US)
Go Power Transmitted = Current Underground AC*Maximum Voltage Underground AC*cos(Phase Difference)
Power Factor using Current in Each Outer (2-Phase 3-Wire US)
Go Power Factor = Power Transmitted/(Current Underground AC*Maximum Voltage Underground AC)
Power Factor using Volume of Conductor Material (2 Phase 3 Wire US)
Go Power Factor = sqrt((2.194)*Constant Underground AC/Volume Of Conductor)

Power Transmitted using Current in Each Outer (2-Phase 3-Wire US) Formula

Power Transmitted = Current Underground AC*Maximum Voltage Underground AC*cos(Phase Difference)
P = I*Vm*cos(Φ)

What is the value of volume of conductor material in 2-phase 3-wire US?

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

How to Calculate Power Transmitted using Current in Each Outer (2-Phase 3-Wire US)?

Power Transmitted using Current in Each Outer (2-Phase 3-Wire US) calculator uses Power Transmitted = Current Underground AC*Maximum Voltage Underground AC*cos(Phase Difference) to calculate the Power Transmitted, The Power Transmitted using Current in Each Outer (2-Phase 3-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 is denoted by P symbol.

How to calculate Power Transmitted using Current in Each Outer (2-Phase 3-Wire US) using this online calculator? To use this online calculator for Power Transmitted using Current in Each Outer (2-Phase 3-Wire US), enter Current Underground AC (I), Maximum Voltage Underground AC (Vm) & Phase Difference (Φ) and hit the calculate button. Here is how the Power Transmitted using Current in Each Outer (2-Phase 3-Wire US) calculation can be explained with given input values -> 1792.673 = 9*230*cos(0.5235987755982).

FAQ

What is Power Transmitted using Current in Each Outer (2-Phase 3-Wire US)?
The Power Transmitted using Current in Each Outer (2-Phase 3-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 = I*Vm*cos(Φ) or Power Transmitted = Current Underground AC*Maximum Voltage Underground AC*cos(Phase Difference). Current Underground AC is defined as the current flowing through the overhead ac supply wire, Maximum Voltage Underground AC is defined as the peak amplitude of the AC voltage supplied to the line or wire & 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.
How to calculate Power Transmitted using Current in Each Outer (2-Phase 3-Wire US)?
The Power Transmitted using Current in Each Outer (2-Phase 3-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 Power Transmitted = Current Underground AC*Maximum Voltage Underground AC*cos(Phase Difference). To calculate Power Transmitted using Current in Each Outer (2-Phase 3-Wire US), you need Current Underground AC (I), Maximum Voltage Underground AC (Vm) & Phase Difference (Φ). With our tool, you need to enter the respective value for Current Underground AC, Maximum Voltage Underground AC & Phase Difference 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 Current Underground AC, Maximum Voltage Underground AC & Phase Difference. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Power Transmitted = sqrt(Line Losses*Volume Of Conductor*(Maximum Voltage Underground AC*cos(Phase Difference))^2/(Resistivity*(((2+sqrt(2))*Length of Underground AC Wire)^2)))
  • Power Transmitted = sqrt(Line Losses*Area of Underground AC Wire*(Maximum Voltage Underground AC*cos(Phase Difference))^2/((2+sqrt(2))*Resistivity*Length of Underground AC Wire))
  • Power Transmitted = (Current Underground AC*Maximum Voltage Underground AC*cos(Phase Difference))/sqrt(2)
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