Power in Three Phase AC Supply Calculator

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✖Phase voltage refers to the voltage measured across a single phase in a multi-phase electrical system, typically in systems such as three-phase AC, providing power to electrical loads or machinery.ⓘ Phase Voltage [V_ph]			+10% -10%
✖Phase Current refers to the current flowing through a particular phase of a polyphase electrical system, such as in a three-phase system, delivering power to loads or motors.ⓘ Phase Current [Iph]			+10% -10%
✖Theta Demo typically refers to an angle in geometry or trigonometry. It's often used to represent an unknown or variable angle in equations or problems. In the Greek alphabet, theta looks like θ.ⓘ Theta Demo [θ]			+10% -10%

✖Power demo in electrical systems is the rate at which energy is transferred or converted per unit of time.ⓘ Power in Three Phase AC Supply [P]

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Formula

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Power in Three Phase AC Supply

Formula

`"P" = 3*"V"_{"ph"}*"Iph"*cos("θ")`

Example

`"46.27543W"=3*"10V"*"10A"*cos("30rad")`

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Power in Three Phase AC Supply Solution

STEP 0: Pre-Calculation Summary

Formula Used

Power demo = 3*Phase Voltage*Phase Current*cos(Theta Demo)
P = 3*V_ph*Iph*cos(θ)
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 demo - (Measured in Watt) - Power demo in electrical systems is the rate at which energy is transferred or converted per unit of time.
Phase Voltage - (Measured in Volt) - Phase voltage refers to the voltage measured across a single phase in a multi-phase electrical system, typically in systems such as three-phase AC, providing power to electrical loads or machinery.
Phase Current - (Measured in Ampere) - Phase Current refers to the current flowing through a particular phase of a polyphase electrical system, such as in a three-phase system, delivering power to loads or motors.
Theta Demo - (Measured in Radian) - Theta Demo typically refers to an angle in geometry or trigonometry. It's often used to represent an unknown or variable angle in equations or problems. In the Greek alphabet, theta looks like θ.

STEP 1: Convert Input(s) to Base Unit

Phase Voltage: 10 Volt --> 10 Volt No Conversion Required
Phase Current: 10 Ampere --> 10 Ampere No Conversion Required
Theta Demo: 30 Radian --> 30 Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = 3*V_ph*Iph*cos(θ) --> 3*10*10*cos(30)

Evaluating ... ...

P = 46.2754349662752

STEP 3: Convert Result to Output's Unit

46.2754349662752 Watt --> No Conversion Required

FINAL ANSWER

46.2754349662752 ≈ 46.27543 Watt <-- Power demo

(Calculation completed in 00.004 seconds)

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Credits

Created by harshitha yn

Acharya institute of technology (AIT), Bangalore

harshitha yn has created this Calculator and 3 more calculators!

Verified by Dipanjona Mallick

Heritage Insitute of technology (HITK), Kolkata

Dipanjona Mallick has verified this Calculator and 50+ more calculators!

< 3 Playground Calculators

Power in Three Phase AC Supply

Go Power demo = 3*Phase Voltage*Phase Current*cos(Theta Demo)

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Diode Current for Resonant Converter

Go Diode Current = (Constant Load Current/Inductor)*Time demo

Power in Three Phase AC Supply Formula

Power demo = 3*Phase Voltage*Phase Current*cos(Theta Demo)
P = 3*V_ph*Iph*cos(θ)

What is Power in Three Phase AC Supply?

Power in Three Phase AC Supply is the product of the line voltage, the line current, and the square root of three (for balanced systems), representing the total electrical energy transferred per unit of time in a three-phase electrical system.

How to Calculate Power in Three Phase AC Supply?

Power in Three Phase AC Supply calculator uses Power demo = 3*Phase Voltage*Phase Current*cos(Theta Demo) to calculate the Power demo, Power in Three Phase AC Supply refers to the combined electrical energy delivered by three alternating currents, typically denoted as active (real), reactive, and apparent power, crucial for industrial and high-power applications. Power demo is denoted by P symbol.

How to calculate Power in Three Phase AC Supply using this online calculator? To use this online calculator for Power in Three Phase AC Supply, enter Phase Voltage (V_ph), Phase Current (Iph) & Theta Demo (θ) and hit the calculate button. Here is how the Power in Three Phase AC Supply calculation can be explained with given input values -> 46.27543 = 3*10*10*cos(30).

FAQ

What is Power in Three Phase AC Supply?

Power in Three Phase AC Supply refers to the combined electrical energy delivered by three alternating currents, typically denoted as active (real), reactive, and apparent power, crucial for industrial and high-power applications and is represented as P = 3*V_ph*Iph*cos(θ) or Power demo = 3*Phase Voltage*Phase Current*cos(Theta Demo). Phase voltage refers to the voltage measured across a single phase in a multi-phase electrical system, typically in systems such as three-phase AC, providing power to electrical loads or machinery, Phase Current refers to the current flowing through a particular phase of a polyphase electrical system, such as in a three-phase system, delivering power to loads or motors & Theta Demo typically refers to an angle in geometry or trigonometry. It's often used to represent an unknown or variable angle in equations or problems. In the Greek alphabet, theta looks like θ.

How to calculate Power in Three Phase AC Supply?

Power in Three Phase AC Supply refers to the combined electrical energy delivered by three alternating currents, typically denoted as active (real), reactive, and apparent power, crucial for industrial and high-power applications is calculated using Power demo = 3*Phase Voltage*Phase Current*cos(Theta Demo). To calculate Power in Three Phase AC Supply, you need Phase Voltage (V_ph), Phase Current (Iph) & Theta Demo (θ). With our tool, you need to enter the respective value for Phase Voltage, Phase Current & Theta Demo 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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