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Rotor Current in Induction Motor Formula

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Rotor current refers to the flow of electric current in the rotor of an electric machine, such as an electric motor or generator. Check FAQs

I r = \frac{s \cdot E i}{\sqrt{{R r(ph)}^{2} + {(s \cdot X r(ph))}^{2}}}

I_r - Rotor Current?s - Slip?E_i - Induced EMF?R_r(ph) - Rotor Resistance per Phase?X_r(ph) - Rotor Reactance per Phase?

Rotor Current in Induction Motor Example

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Here is how the Rotor Current in Induction Motor equation looks like with Values.

Here is how the Rotor Current in Induction Motor equation looks like with Units.

Here is how the Rotor Current in Induction Motor equation looks like.

0.2186 = \frac{0.19 \cdot 67.3}{\sqrt{56^{2} + {(0.19 \cdot 89)}^{2}}}

0.2186A = \frac{0.19 \cdot 67.3V}{\sqrt{{56Ω}^{2} + {(0.19 \cdot 89Ω)}^{2}}}

0.2186 = \frac{0.19 \cdot 67.3}{\sqrt{56^{2} + {(0.19 \cdot 89)}^{2}}}

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Rotor Current in Induction Motor Solution

Follow our step by step solution on how to calculate Rotor Current in Induction Motor?

FIRST Step Consider the formula

I r = \frac{s \cdot E i}{\sqrt{{R r(ph)}^{2} + {(s \cdot X r(ph))}^{2}}}

Next Step Substitute values of Variables

∴

I r = \frac{0.19 \cdot 67.3V}{\sqrt{{56Ω}^{2} + {(0.19 \cdot 89Ω)}^{2}}}

Next Step Prepare to Evaluate

∴

I r = \frac{0.19 \cdot 67.3}{\sqrt{56^{2} + {(0.19 \cdot 89)}^{2}}}

Next Step Evaluate

∴

I r = 0.218590838487781A

LAST Step Rounding Answer

∴

I r = 0.2186A

Rotor Current in Induction Motor Formula Elements

Variables

Functions

Rotor Current

Rotor current refers to the flow of electric current in the rotor of an electric machine, such as an electric motor or generator.

Symbol: I_r

Measurement: Electric CurrentUnit: A

Note: Value should be greater than 0.

Formulas to find Rotor Current

Slip

Slip in Induction Motor is the relative speed between the rotating magnetic flux and rotor expressed in terms of per unit synchronous speed. It is a dimensionless quantity.

Symbol: s

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Slip

Induced EMF

Induced EMF is the EMF generated due to the motion.

Symbol: E_i

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Induced EMF

Rotor Resistance per Phase

Rotor Resistance per Phase is the electrical resistance of each phase winding in the rotor of a three-phase AC generator.

Symbol: R_r(ph)

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Rotor Resistance per Phase

Rotor Reactance per Phase

Rotor Reactance per Phase is the electrical reactance of each phase winding in the rotor of a three-phase AC generator.

Symbol: X_r(ph)

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Rotor Reactance per Phase

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 Current category

Go Armature Current given Power in Induction Motor

I a = \frac{P out}{V a}

Go Field Current using Load Current in Induction Motor

I f = I a - I L

Go Load Current in Induction Motor

I L = I a - I f

Go Frequency given Number of Poles in Induction Motor

f = \frac{n \cdot N s}{120}

How to Evaluate Rotor Current in Induction Motor?

Rotor Current in Induction Motor evaluator uses Rotor Current = (Slip*Induced EMF)/sqrt(Rotor Resistance per Phase^2+(Slip*Rotor Reactance per Phase)^2) to evaluate the Rotor Current, The Rotor Current in Induction Motor refers to the flow of electric current in the rotor of an electric machine, such as an electric motor or generator. Rotor Current is denoted by I_r symbol.

How to evaluate Rotor Current in Induction Motor using this online evaluator? To use this online evaluator for Rotor Current in Induction Motor, enter Slip (s), Induced EMF (E_i), Rotor Resistance per Phase (R_r(ph)) & Rotor Reactance per Phase (X_r(ph)) and hit the calculate button.

FAQs on Rotor Current in Induction Motor

What is the formula to find Rotor Current in Induction Motor?

The formula of Rotor Current in Induction Motor is expressed as Rotor Current = (Slip*Induced EMF)/sqrt(Rotor Resistance per Phase^2+(Slip*Rotor Reactance per Phase)^2). Here is an example- 0.218591 = (0.19*67.3)/sqrt(56^2+(0.19*89)^2).

How to calculate Rotor Current in Induction Motor?

With Slip (s), Induced EMF (E_i), Rotor Resistance per Phase (R_r(ph)) & Rotor Reactance per Phase (X_r(ph)) we can find Rotor Current in Induction Motor using the formula - Rotor Current = (Slip*Induced EMF)/sqrt(Rotor Resistance per Phase^2+(Slip*Rotor Reactance per Phase)^2). This formula also uses Square Root (sqrt) function(s).

Can the Rotor Current in Induction Motor be negative?

No, the Rotor Current in Induction Motor, measured in Electric Current cannot be negative.

Which unit is used to measure Rotor Current in Induction Motor?

Rotor Current in Induction Motor is usually measured using the Ampere[A] for Electric Current. Milliampere[A], Microampere[A], Centiampere[A] are the few other units in which Rotor Current in Induction Motor can be measured.

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Rotor Current in Induction Motor Formula

Rotor Current in Induction Motor Example

Rotor Current in Induction Motor Solution

Rotor Current in Induction Motor Formula Elements

Other formulas in Current category

How to Evaluate Rotor Current in Induction Motor?

FAQs on Rotor Current in Induction Motor

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