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Power Input in Induction Motor Formula

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Input Power is defined as the total power supplied to the electrical machine from the source which is connected to it. Check FAQs

P in = \sqrt{3} \cdot V line \cdot I line \cdot cosΦ

P_in - Input Power?V_line - Line Voltage?I_line - Line Current?cosΦ - Power Factor?

Power Input in Induction Motor Example

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Here is how the Power Input in Induction Motor equation looks like with Values.

Here is how the Power Input in Induction Motor equation looks like with Units.

Here is how the Power Input in Induction Motor equation looks like.

40.8106 = \sqrt{3} \cdot 18.7 \cdot 3.6 \cdot 0.35

40.8106W = \sqrt{3} \cdot 18.7V \cdot 3.6A \cdot 0.35

40.8106 = \sqrt{3} \cdot 18.7 \cdot 3.6 \cdot 0.35

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Power Input in Induction Motor Solution

Follow our step by step solution on how to calculate Power Input in Induction Motor?

FIRST Step Consider the formula

P in = \sqrt{3} \cdot V line \cdot I line \cdot cosΦ

Next Step Substitute values of Variables

∴

P in = \sqrt{3} \cdot 18.7V \cdot 3.6A \cdot 0.35

Next Step Prepare to Evaluate

∴

P in = \sqrt{3} \cdot 18.7 \cdot 3.6 \cdot 0.35

Next Step Evaluate

∴

P in = 40.8105811279379W

LAST Step Rounding Answer

∴

P in = 40.8106W

Power Input in Induction Motor Formula Elements

Variables

Functions

Input Power

Input Power is defined as the total power supplied to the electrical machine from the source which is connected to it.

Symbol: P_in

Measurement: PowerUnit: W

Note: Value can be positive or negative.

Formulas to find Input Power

Line Voltage

Line Voltage is the voltage measured between any two lines in a three-phase circuit.

Symbol: V_line

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Line Voltage

Line Current

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).

Symbol: I_line

Measurement: Electric CurrentUnit: A

Note: Value can be positive or negative.

Formulas to find Line Current

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.

Symbol: cosΦ

Measurement: NAUnit: Unitless

Note: Value should be less than 1.000001.

Formulas to find Power Factor

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.

Syntax: sqrt(Number)

Other formulas in Power category

Go Gross Mechanical Power in Induction Motor

P m = (1 - s) \cdot P in

Go Rotor Input Power in Induction Motor

P in(r) = P in - P sl

Go Air Gap Power of Induction Motor

P ag = P in - P s(cu) - P core

Go Power Converted in Induction Motor

P conv = P ag - P r(cu)

How to Evaluate Power Input in Induction Motor?

Power Input in Induction Motor evaluator uses Input Power = sqrt(3)*Line Voltage*Line Current*Power Factor to evaluate 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 evaluate Power Input in Induction Motor using this online evaluator? To use this online evaluator for Power Input in Induction Motor, enter Line Voltage (V_line), Line Current (I_line) & Power Factor (cosΦ) and hit the calculate button.

FAQs on Power Input in Induction Motor

What is the formula to find Power Input in Induction Motor?

The formula of Power Input in Induction Motor is expressed as Input Power = sqrt(3)*Line Voltage*Line Current*Power Factor. Here is an example- 40.81058 = sqrt(3)*18.7*3.6*0.35.

How to calculate Power Input in Induction Motor?

With Line Voltage (V_line), Line Current (I_line) & Power Factor (cosΦ) we can find Power Input in Induction Motor using the formula - Input Power = sqrt(3)*Line Voltage*Line Current*Power Factor. This formula also uses Square Root (sqrt) function(s).

Can the Power Input in Induction Motor be negative?

Yes, the Power Input in Induction Motor, measured in Power can be negative.

Which unit is used to measure Power Input in Induction Motor?

Power Input in Induction Motor is usually measured using the Watt[W] for Power. Kilowatt[W], Milliwatt[W], Microwatt[W] are the few other units in which Power Input in Induction Motor can be measured.

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Power Input in Induction Motor Formula

Power Input in Induction Motor Example

Power Input in Induction Motor Solution

Power Input in Induction Motor Formula Elements

Other formulas in Power category

How to Evaluate Power Input in Induction Motor?

FAQs on Power Input in Induction Motor

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