Power in Three-Phase AC Circuits using Phase Current Calculator

✖Phase Voltage is the potential difference between a line and a neutral in a three phase circuit.ⓘ Phase Voltage [V_ph]			+10% -10%
✖The Phase Current is a current flow between phase to neutral in a three phase circuit.ⓘ Phase Current [I_ph]			+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%

✖The Real Power P is the average power in watts delivered to a load. It is the only useful power. It is the actual power dissipated by the load.ⓘ Power in Three-Phase AC Circuits using Phase Current [P]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download AC Power Formulas PDF PDF Image

Power in Three-Phase AC Circuits using Phase Current Solution

STEP 0: Pre-Calculation Summary

Formula Used

Real Power = 3*Phase Voltage*Phase Current*cos(Phase Difference)
P = 3*V_ph*I_ph*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

Real Power - (Measured in Watt) - The Real Power P is the average power in watts delivered to a load. It is the only useful power. It is the actual power dissipated by the load.
Phase Voltage - (Measured in Volt) - Phase Voltage is the potential difference between a line and a neutral in a three phase circuit.
Phase Current - (Measured in Ampere) - The Phase Current is a current flow between phase to neutral in a three phase circuit.
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

Phase Voltage: 240 Volt --> 240 Volt No Conversion Required
Phase Current: 0.4 Ampere --> 0.4 Ampere No Conversion Required
Phase Difference: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = 3*V_ph*I_ph*cos(Φ) --> 3*240*0.4*cos(0.5235987755982)

Evaluating ... ...

P = 249.415316289918

STEP 3: Convert Result to Output's Unit

249.415316289918 Watt --> No Conversion Required

FINAL ANSWER

249.415316289918 ≈ 249.4153 Watt <-- Real Power

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Electrical » Electrical Circuit » AC Circuits » AC Power » Power in Three-Phase AC Circuits using Phase Current

Credits

Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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

Verified by Team Softusvista

Softusvista Office (Pune), India

Team Softusvista has verified this Calculator and 1100+ more calculators!

< AC Power Calculators

Power in Single-Phase AC Circuits using Voltage

LaTeX Go Real Power = (Voltage^2*cos(Phase Difference))/Resistance

Power in Single-Phase AC Circuits using Current

LaTeX Go Real Power = Current^2*Resistance*cos(Phase Difference)

Power in Single-Phase AC Circuits

LaTeX Go Real Power = Voltage*Current*cos(Phase Difference)

Complex Power

LaTeX Go Complex Power = sqrt(Real Power^2+Reactive Power^2)

Power in Three-Phase AC Circuits using Phase Current Formula

LaTeX Go

Real Power = 3*Phase Voltage*Phase Current*cos(Phase Difference)
P = 3*V_ph*I_ph*cos(Φ)

What is the difference between single phase and three phase power supply?

In a single-phase supply, the power flows through one conductor whereas the three-phase supply consists of three conductors for power supply. The single-phase supply requires two wires (one phase and one neutral) for completing the circuit. The three phase requires three-phase wires and one neutral wire for completing the circuit.

How to Calculate Power in Three-Phase AC Circuits using Phase Current?

Power in Three-Phase AC Circuits using Phase Current calculator uses Real Power = 3*Phase Voltage*Phase Current*cos(Phase Difference) to calculate the Real Power, Power in Three-Phase AC Circuits using Phase Current is a common method of alternating current electric power generation, transmission, and distribution. It is a type of polyphase system and is the most common method used by electrical grids worldwide to transfer power. Real Power is denoted by P symbol.

How to calculate Power in Three-Phase AC Circuits using Phase Current using this online calculator? To use this online calculator for Power in Three-Phase AC Circuits using Phase Current, enter Phase Voltage (V_ph), Phase Current (I_ph) & Phase Difference (Φ) and hit the calculate button. Here is how the Power in Three-Phase AC Circuits using Phase Current calculation can be explained with given input values -> 249.4153 = 3*240*0.4*cos(0.5235987755982).

FAQ

What is Power in Three-Phase AC Circuits using Phase Current?

Power in Three-Phase AC Circuits using Phase Current is a common method of alternating current electric power generation, transmission, and distribution. It is a type of polyphase system and is the most common method used by electrical grids worldwide to transfer power and is represented as P = 3*V_ph*I_ph*cos(Φ) or Real Power = 3*Phase Voltage*Phase Current*cos(Phase Difference). Phase Voltage is the potential difference between a line and a neutral in a three phase circuit, The Phase Current is a current flow between phase to neutral in a three phase circuit & 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 in Three-Phase AC Circuits using Phase Current?

Power in Three-Phase AC Circuits using Phase Current is a common method of alternating current electric power generation, transmission, and distribution. It is a type of polyphase system and is the most common method used by electrical grids worldwide to transfer power is calculated using Real Power = 3*Phase Voltage*Phase Current*cos(Phase Difference). To calculate Power in Three-Phase AC Circuits using Phase Current, you need Phase Voltage (V_ph), Phase Current (I_ph) & Phase Difference (Φ). With our tool, you need to enter the respective value for Phase Voltage, Phase Current & 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 Real Power?

In this formula, Real Power uses Phase Voltage, Phase Current & Phase Difference. We can use 3 other way(s) to calculate the same, which is/are as follows -

Real Power = Voltage*Current*cos(Phase Difference)
Real Power = Current^2*Resistance*cos(Phase Difference)
Real Power = (Voltage^2*cos(Phase Difference))/Resistance

Home

FREE PDFs

🔍 Search