Rotor Current in Induction Motor given Stator Voltage Calculator

✖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.ⓘ Slip [s]			+10% -10%
✖Turn Ratio is the rotor/stator turn ratio per phase.ⓘ Turn Ratio [K]			+10% -10%
✖Stator Voltage is the input voltage of the motor.ⓘ Stator Voltage [V_in]			+10% -10%
✖Rotor Resistance per Phase is the electrical resistance of each phase winding in the rotor of a three-phase AC generator.ⓘ Rotor Resistance per Phase [R_r(ph)]			+10% -10%
✖Rotor Reactance per Phase is the electrical reactance of each phase winding in the rotor of a three-phase AC generator.ⓘ Rotor Reactance per Phase [X_r(ph)]			+10% -10%

✖Rotor current refers to the flow of electric current in the rotor of an electric machine, such as an electric motor or generator.ⓘ Rotor Current in Induction Motor given Stator Voltage [I_r]

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Formula

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Rotor Current in Induction Motor given Stator Voltage

Formula

`"I"_{"r"} = ("s"*"K"*"V"_{"in"})/sqrt("R"_{"r(ph)"}^2+("s"*"X"_{"r(ph)"})^2)`

Example

`"2.616269A"=("0.19"*"9"*"89.5V")/sqrt(("56Ω")^2+("0.19"*"89Ω")^2)`

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Rotor Current in Induction Motor given Stator Voltage Solution

STEP 0: Pre-Calculation Summary

Formula Used

Rotor Current = (Slip*Turn Ratio*Stator Voltage)/sqrt(Rotor Resistance per Phase^2+(Slip*Rotor Reactance per Phase)^2)
I_r = (s*K*V_in)/sqrt(R_r(ph)^2+(s*X_r(ph))^2)
This formula uses 1 Functions, 6 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

Rotor Current - (Measured in Ampere) - Rotor current refers to the flow of electric current in the rotor of an electric machine, such as an electric motor or generator.
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.
Turn Ratio - Turn Ratio is the rotor/stator turn ratio per phase.
Stator Voltage - (Measured in Volt) - Stator Voltage is the input voltage of the motor.
Rotor Resistance per Phase - (Measured in Ohm) - Rotor Resistance per Phase is the electrical resistance of each phase winding in the rotor of a three-phase AC generator.
Rotor Reactance per Phase - (Measured in Ohm) - Rotor Reactance per Phase is the electrical reactance of each phase winding in the rotor of a three-phase AC generator.

STEP 1: Convert Input(s) to Base Unit

Slip: 0.19 --> No Conversion Required
Turn Ratio: 9 --> No Conversion Required
Stator Voltage: 89.5 Volt --> 89.5 Volt No Conversion Required
Rotor Resistance per Phase: 56 Ohm --> 56 Ohm No Conversion Required
Rotor Reactance per Phase: 89 Ohm --> 89 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I_r = (s*K*V_in)/sqrt(R_r(ph)^2+(s*X_r(ph))^2) --> (0.19*9*89.5)/sqrt(56^2+(0.19*89)^2)

Evaluating ... ...

I_r = 2.61626924817099

STEP 3: Convert Result to Output's Unit

2.61626924817099 Ampere --> No Conversion Required

FINAL ANSWER

2.61626924817099 ≈ 2.616269 Ampere <-- Rotor Current

(Calculation completed in 00.004 seconds)

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< 5 Current Calculators

Rotor Current in Induction Motor given Stator Voltage

Go Rotor Current = (Slip*Turn Ratio*Stator Voltage)/sqrt(Rotor Resistance per Phase^2+(Slip*Rotor Reactance per Phase)^2)

Rotor Current in Induction Motor

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

Armature Current given Power in Induction Motor

Go Armature Current = Output Power/Armature Voltage

Field Current using Load Current in Induction Motor

Go Field Current = Armature Current-Load Current

Load Current in Induction Motor

Go Load Current = Armature Current-Field Current

Rotor Current in Induction Motor given Stator Voltage Formula

Rotor Current = (Slip*Turn Ratio*Stator Voltage)/sqrt(Rotor Resistance per Phase^2+(Slip*Rotor Reactance per Phase)^2)
I_r = (s*K*V_in)/sqrt(R_r(ph)^2+(s*X_r(ph))^2)

What is Slip in Induction Motor?

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. The value of slip in induction motor is can never be zero.
If Ns and Nr being the synchronous speed of rotating magnetic flux and rotor speed respectively, then the relative speed between them is equal to (Ns – Nr). Therefore, slip is defined as

Slip (s) = (Ns – Nr) / Ns

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

Rotor Current in Induction Motor given Stator Voltage calculator uses Rotor Current = (Slip*Turn Ratio*Stator Voltage)/sqrt(Rotor Resistance per Phase^2+(Slip*Rotor Reactance per Phase)^2) to calculate 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 calculate Rotor Current in Induction Motor given Stator Voltage using this online calculator? To use this online calculator 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. Here is how the Rotor Current in Induction Motor given Stator Voltage calculation can be explained with given input values -> 2.616269 = (0.19*9*89.5)/sqrt(56^2+(0.19*89)^2).

FAQ

What is Rotor Current in Induction Motor given Stator Voltage?

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 and is represented as I_r = (s*K*V_in)/sqrt(R_r(ph)^2+(s*X_r(ph))^2) or Rotor Current = (Slip*Turn Ratio*Stator Voltage)/sqrt(Rotor Resistance per Phase^2+(Slip*Rotor Reactance per Phase)^2). 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, Turn Ratio is the rotor/stator turn ratio per phase, Stator Voltage is the input voltage of the motor, Rotor Resistance per Phase is the electrical resistance of each phase winding in the rotor of a three-phase AC generator & Rotor Reactance per Phase is the electrical reactance of each phase winding in the rotor of a three-phase AC generator.

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

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 is calculated using Rotor Current = (Slip*Turn Ratio*Stator Voltage)/sqrt(Rotor Resistance per Phase^2+(Slip*Rotor Reactance per Phase)^2). To calculate Rotor Current in Induction Motor given Stator Voltage, you need Slip (s), Turn Ratio (K), Stator Voltage (V_in), Rotor Resistance per Phase (R_r(ph)) & Rotor Reactance per Phase (X_r(ph)). With our tool, you need to enter the respective value for Slip, Turn Ratio, Stator Voltage, Rotor Resistance per Phase & Rotor Reactance per Phase and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Rotor Current?

In this formula, Rotor Current uses Slip, Turn Ratio, Stator Voltage, Rotor Resistance per Phase & Rotor Reactance per Phase. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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