Transmitted Power using Load Current (1 Phase 3 Wire US) Calculator

✖Current Underground AC is defined as the current flowing through the overhead ac supply wire.ⓘ Current Underground AC [I]			+10% -10%
✖Maximum Voltage Underground AC is defined as the peak amplitude of the AC voltage supplied to the line or wire.ⓘ Maximum Voltage Underground AC [V_m]			+10% -10%
✖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.ⓘ Phase Difference [Φ]			+10% -10%

✖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.ⓘ Transmitted Power using Load Current (1 Phase 3 Wire US) [P]

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Transmitted Power using Load Current (1 Phase 3 Wire US) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Power Transmitted = Current Underground AC*Maximum Voltage Underground AC*cos(Phase Difference)/sqrt(2)
P = I*V_m*cos(Φ)/sqrt(2)
This formula uses 2 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)
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

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*V_m*cos(Φ)/sqrt(2) --> 9*230*cos(0.5235987755982)/sqrt(2)

Evaluating ... ...

P = 1267.61094189029

STEP 3: Convert Result to Output's Unit

1267.61094189029 Watt --> No Conversion Required

FINAL ANSWER

1267.61094189029 ≈ 1267.611 Watt <-- Power Transmitted

(Calculation completed in 00.004 seconds)

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Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

Urvi Rathod has created this Calculator and 1500+ more calculators!

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Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

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< Power and Power Factor Calculators

Transmitted Power using Volume of Conductor Material(1 Phase 3 Wire US)

LaTeX Go Power Transmitted = sqrt(Line Losses*Volume Of Conductor*(Maximum Voltage Underground AC*cos(Phase Difference))^2/(10*Resistivity*(Length of Underground AC Wire)^2))

Power Factor using Volume of Conductor Material(1 Phase 3 Wire US)

LaTeX Go Power Factor = sqrt(10*Resistivity*((Power Transmitted*Length of Underground AC Wire)^2)/(Line Losses*Volume Of Conductor*((Maximum Voltage Underground AC)^2)))

Power Factor using Load Current (1 Phase 3 Wire US)

LaTeX Go Power Factor = sqrt(2)*Power Transmitted/(Maximum Voltage Underground AC*Current Underground AC)

Power Factor Angle for Single Phase 3 Wire System

LaTeX Go Phase Difference = acos(Power Transmitted/(2*Voltage Underground AC*Current Underground AC))

Transmitted Power using Load Current (1 Phase 3 Wire US) Formula

LaTeX Go

Power Transmitted = Current Underground AC*Maximum Voltage Underground AC*cos(Phase Difference)/sqrt(2)
P = I*V_m*cos(Φ)/sqrt(2)

What is a single phase 3 wire system?

Single-phase three-wire is also a term used to describe a system where the center of the phase is earthed rather than either end. This means that the largest voltage-to-earth fault experienced will be half the output voltage. It is commonly used when working with power tools in especially wet or 'rough' environments.

How to Calculate Transmitted Power using Load Current (1 Phase 3 Wire US)?

Transmitted Power using Load Current (1 Phase 3 Wire US) calculator uses Power Transmitted = Current Underground AC*Maximum Voltage Underground AC*cos(Phase Difference)/sqrt(2) to calculate the Power Transmitted, The Transmitted Power using Load Current (1 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 Transmitted Power using Load Current (1 Phase 3 Wire US) using this online calculator? To use this online calculator for Transmitted Power using Load Current (1 Phase 3 Wire US), enter Current Underground AC (I), Maximum Voltage Underground AC (V_m) & Phase Difference (Φ) and hit the calculate button. Here is how the Transmitted Power using Load Current (1 Phase 3 Wire US) calculation can be explained with given input values -> 1267.611 = 9*230*cos(0.5235987755982)/sqrt(2).

FAQ

What is Transmitted Power using Load Current (1 Phase 3 Wire US)?

The Transmitted Power using Load Current (1 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*V_m*cos(Φ)/sqrt(2) or Power Transmitted = Current Underground AC*Maximum Voltage Underground AC*cos(Phase Difference)/sqrt(2). 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 Transmitted Power using Load Current (1 Phase 3 Wire US)?

The Transmitted Power using Load Current (1 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)/sqrt(2). To calculate Transmitted Power using Load Current (1 Phase 3 Wire US), you need Current Underground AC (I), Maximum Voltage Underground AC (V_m) & 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/(10*Resistivity*(Length of Underground AC Wire)^2))
Power Transmitted = sqrt(Area of Underground AC Wire*Line Losses*(Maximum Voltage Underground AC^2)*(cos(Phase Difference)^2)/(4*Resistivity*Length of Underground AC Wire))
Power Transmitted = sqrt(Line Losses*(Maximum Voltage Underground AC^2)*(cos(Phase Difference)^2)/(4*Resistance Underground AC))

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