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Rotor Current in Induction Motor given Stator Voltage Formula

GoRotor 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 K \cdot V in}{\sqrt{{R r(ph)}^{2} + {(s \cdot X r(ph))}^{2}}}

I_r - Rotor Current?s - Slip?K - Turn Ratio?V_in - Stator Voltage?R_r(ph) - Rotor Resistance per Phase?X_r(ph) - Rotor Reactance per Phase?

Rotor Current in Induction Motor given Stator Voltage Example

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

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

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

2.6163 = \frac{0.19 \cdot 9 \cdot 89.5}{\sqrt{56^{2} + {(0.19 \cdot 89)}^{2}}}

2.6163A = \frac{0.19 \cdot 9 \cdot 89.5V}{\sqrt{{56Ω}^{2} + {(0.19 \cdot 89Ω)}^{2}}}

2.6163 = \frac{0.19 \cdot 9 \cdot 89.5}{\sqrt{56^{2} + {(0.19 \cdot 89)}^{2}}}

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Rotor Current in Induction Motor given Stator Voltage Solution

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

FIRST Step Consider the formula

I r = \frac{s \cdot K \cdot V in}{\sqrt{{R r(ph)}^{2} + {(s \cdot X r(ph))}^{2}}}

Next Step Substitute values of Variables

∴

I r = \frac{0.19 \cdot 9 \cdot 89.5V}{\sqrt{{56Ω}^{2} + {(0.19 \cdot 89Ω)}^{2}}}

Next Step Prepare to Evaluate

∴

I r = \frac{0.19 \cdot 9 \cdot 89.5}{\sqrt{56^{2} + {(0.19 \cdot 89)}^{2}}}

Next Step Evaluate

∴

I r = 2.61626924817099A

LAST Step Rounding Answer

∴

I r = 2.6163A

Rotor Current in Induction Motor given Stator Voltage 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

Turn Ratio

Turn Ratio is the rotor/stator turn ratio per phase.

Symbol: K

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Turn Ratio

Stator Voltage

Stator Voltage is the input voltage of the motor.

Symbol: V_in

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Stator Voltage

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 to find Rotor Current

Go Rotor Current in Induction Motor

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

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

How to Evaluate Rotor Current in Induction Motor given Stator Voltage?

Rotor Current in Induction Motor given Stator Voltage evaluator uses Rotor Current = (Slip*Turn Ratio*Stator Voltage)/sqrt(Rotor Resistance per Phase^2+(Slip*Rotor Reactance per Phase)^2) to evaluate the Rotor Current, Rotor Current in Induction Motor given Stator Voltage 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 given Stator Voltage using this online evaluator? To use this online evaluator for Rotor Current in Induction Motor given Stator Voltage, enter Slip (s), Turn Ratio (K), Stator Voltage (V_in), 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 given Stator Voltage

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

The formula of Rotor Current in Induction Motor given Stator Voltage is expressed as Rotor Current = (Slip*Turn Ratio*Stator Voltage)/sqrt(Rotor Resistance per Phase^2+(Slip*Rotor Reactance per Phase)^2). Here is an example- 2.616269 = (0.19*9*89.5)/sqrt(56^2+(0.19*89)^2).

How to calculate Rotor Current in Induction Motor given Stator Voltage?

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

What are the other ways to Calculate Rotor Current?

Here are the different ways to Calculate Rotor Current-

Rotor Current=(Slip*Induced EMF)/sqrt(Rotor Resistance per Phase^2+(Slip*Rotor Reactance per Phase)^2)

Can the Rotor Current in Induction Motor given Stator Voltage be negative?

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

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

Rotor Current in Induction Motor given Stator Voltage 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 given Stator Voltage can be measured.

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Rotor Current in Induction Motor given Stator Voltage Formula

​GoRotor Current in Induction Motor Formula

Rotor Current in Induction Motor given Stator Voltage Example

Rotor Current in Induction Motor given Stator Voltage Solution

Rotor Current in Induction Motor given Stator Voltage Formula Elements

Other Formulas to find Rotor Current

Other formulas in Current category

How to Evaluate Rotor Current in Induction Motor given Stator Voltage?

FAQs on Rotor Current in Induction Motor given Stator Voltage

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GoRotor Current in Induction Motor Formula