Power Input in Induction Motor Calculator

✖Line Voltage is the voltage measured between any two lines in a three-phase circuit.ⓘ Line Voltage [V_line]			+10% -10%
✖Line Current is the measure of current in one phase before the star or delta arrangement of the component (typically input current in motor or output current in the alternator).ⓘ Line Current [I_line]			+10% -10%
✖Power Factor is defined as the ratio of the actual electrical power dissipated by an AC circuit to the product of the r.m.s. values of current and voltage.ⓘ Power Factor [cosΦ]			+10% -10%

✖Input Power is defined as the total power supplied to the electrical machine from the source which is connected to it.ⓘ Power Input in Induction Motor [P_in]

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Formula

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Power Input in Induction Motor

Formula

`"P"_{"in"} = sqrt(3)*"V"_{"line"}*"I"_{"line"}*"cosΦ"`

Example

`"40.81058W"=sqrt(3)*"18.70V"*"3.6A"*"0.35"`

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Power Input in Induction Motor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Input Power = sqrt(3)*Line Voltage*Line Current*Power Factor
P_in = sqrt(3)*V_line*I_line*cosΦ
This formula uses 1 Functions, 4 Variables

Functions Used

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

Input Power - (Measured in Watt) - Input Power is defined as the total power supplied to the electrical machine from the source which is connected to it.
Line Voltage - (Measured in Volt) - Line Voltage is the voltage measured between any two lines in a three-phase circuit.
Line Current - (Measured in Ampere) - Line Current is the measure of current in one phase before the star or delta arrangement of the component (typically input current in motor or output current in the alternator).
Power Factor - Power Factor is defined as the ratio of the actual electrical power dissipated by an AC circuit to the product of the r.m.s. values of current and voltage.

STEP 1: Convert Input(s) to Base Unit

Line Voltage: 18.7 Volt --> 18.7 Volt No Conversion Required
Line Current: 3.6 Ampere --> 3.6 Ampere No Conversion Required
Power Factor: 0.35 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_in = sqrt(3)*V_line*I_line*cosΦ --> sqrt(3)*18.7*3.6*0.35

Evaluating ... ...

P_in = 40.8105811279379

STEP 3: Convert Result to Output's Unit

40.8105811279379 Watt --> No Conversion Required

FINAL ANSWER

40.8105811279379 ≈ 40.81058 Watt <-- Input Power

(Calculation completed in 00.004 seconds)

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Created by Aman Dhussawat

GURU TEGH BAHADUR INSTITUTE OF TECHNOLOGY (GTBIT), NEW DELHI

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Chandigarh University (CU), Punjab

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< 5 Power Calculators

Power Input in Induction Motor

Go Input Power = sqrt(3)*Line Voltage*Line Current*Power Factor

Air Gap Power of Induction Motor

Go Air Gap Power = Input Power-Stator Copper Loss-Core Loss

Power Converted in Induction Motor

Go Converted Power = Air Gap Power-Rotor Copper Loss

Rotor Input Power in Induction Motor

Go Rotor Input Power = Input Power-Stator Losses

Gross Mechanical Power in Induction Motor

Go Mechanical Power = (1-Slip)*Input Power

Power Input in Induction Motor Formula

Input Power = sqrt(3)*Line Voltage*Line Current*Power Factor
P_in = sqrt(3)*V_line*I_line*cosΦ

What is input power in induction motor?

This refers to electric power applied to the motor. The following relationship exists between the input power, output (also called motive energy), and loss: Input power = Mechanical output + Loss.

How to Calculate Power Input in Induction Motor?

Power Input in Induction Motor calculator uses Input Power = sqrt(3)*Line Voltage*Line Current*Power Factor to calculate the Input Power, The Power Input in Induction Motor formula is defined as in induction motor, the power input is the electrical power supplied to the motor by the power source, which is typically an AC voltage source. This power input is converted into mechanical power output by the motor. Input Power is denoted by P_in symbol.

How to calculate Power Input in Induction Motor using this online calculator? To use this online calculator for Power Input in Induction Motor, enter Line Voltage (V_line), Line Current (I_line) & Power Factor (cosΦ) and hit the calculate button. Here is how the Power Input in Induction Motor calculation can be explained with given input values -> 40.81058 = sqrt(3)*18.7*3.6*0.35.

FAQ

What is Power Input in Induction Motor?

The Power Input in Induction Motor formula is defined as in induction motor, the power input is the electrical power supplied to the motor by the power source, which is typically an AC voltage source. This power input is converted into mechanical power output by the motor and is represented as P_in = sqrt(3)*V_line*I_line*cosΦ or Input Power = sqrt(3)*Line Voltage*Line Current*Power Factor. Line Voltage is the voltage measured between any two lines in a three-phase circuit, Line Current is the measure of current in one phase before the star or delta arrangement of the component (typically input current in motor or output current in the alternator) & Power Factor is defined as the ratio of the actual electrical power dissipated by an AC circuit to the product of the r.m.s. values of current and voltage.

How to calculate Power Input in Induction Motor?

The Power Input in Induction Motor formula is defined as in induction motor, the power input is the electrical power supplied to the motor by the power source, which is typically an AC voltage source. This power input is converted into mechanical power output by the motor is calculated using Input Power = sqrt(3)*Line Voltage*Line Current*Power Factor. To calculate Power Input in Induction Motor, you need Line Voltage (V_line), Line Current (I_line) & Power Factor (cosΦ). With our tool, you need to enter the respective value for Line Voltage, Line Current & Power Factor 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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