Rotor Current in Induction Motor Solution

STEP 0: Pre-Calculation Summary
Formula Used
Rotor Current = (Slip*Induced EMF)/sqrt(Rotor Resistance per Phase^2+(Slip*Rotor Reactance per Phase)^2)
Ir = (s*Ei)/sqrt(Rr(ph)^2+(s*Xr(ph))^2)
This formula uses 1 Functions, 5 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.
Induced EMF - (Measured in Volt) - Induced EMF is the EMF generated due to the motion.
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
Induced EMF: 67.3 Volt --> 67.3 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
Ir = (s*Ei)/sqrt(Rr(ph)^2+(s*Xr(ph))^2) --> (0.19*67.3)/sqrt(56^2+(0.19*89)^2)
Evaluating ... ...
Ir = 0.218590838487781
STEP 3: Convert Result to Output's Unit
0.218590838487781 Ampere --> No Conversion Required
FINAL ANSWER
0.218590838487781 0.218591 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

25 Induction Motor Circuit Calculators

Torque of Induction Motor under Running Condition
Go Torque = (3*Slip*EMF^2*Resistance)/(2*pi*Synchronous Speed*(Resistance^2+(Reactance^2*Slip)))
Rotor Current in Induction Motor
Go Rotor Current = (Slip*Induced EMF)/sqrt(Rotor Resistance per Phase^2+(Slip*Rotor Reactance per Phase)^2)
Starting Torque of Induction Motor
Go Torque = (3*EMF^2*Resistance)/(2*pi*Synchronous Speed*(Resistance^2+Reactance^2))
Maximum Running Torque
Go Running Torque = (3*EMF^2)/(4*pi*Synchronous Speed*Reactance)
Linear Synchronous Speed
Go Linear Synchronous Speed = 2*Pole Pitch Width*Line Frequency
Stator Copper Loss in Induction Motor
Go Stator Copper Loss = 3*Stator Current^2*Stator Resistance
Rotor Copper Loss in Induction Motor
Go Rotor Copper Loss = 3*Rotor Current^2*Rotor Resistance
Synchronous Speed in Induction Motor
Go Synchronous Speed = (120*Frequency)/(Number of Poles)
Frequency given Number of Poles in Induction Motor
Go Frequency = (Number of Poles*Synchronous Speed)/120
Armature Current given Power in Induction Motor
Go Armature Current = Output Power/Armature Voltage
Synchronous Speed of Induction Motor given Efficiency
Go Synchronous Speed = (Motor Speed)/(Efficiency)
Rotor Efficiency in Induction Motor
Go Efficiency = (Motor Speed)/(Synchronous Speed)
Field Current using Load Current in Induction Motor
Go Field Current = Armature Current-Load Current
Rotor Input Power in Induction Motor
Go Rotor Input Power = Input Power-Stator Losses
Load Current in Induction Motor
Go Load Current = Armature Current-Field Current
Force by Linear Induction Motor
Go Force = Input Power/Linear Synchronous Speed
Motor Speed given Efficiency in Induction Motor
Go Motor Speed = Efficiency*Synchronous Speed
Rotor Copper Loss given Input Rotor Power
Go Rotor Copper Loss = Slip*Rotor Input Power
Pitch Factor in Induction Motor
Go Pitch Factor = cos(Short Pitched Angle/2)
Gross Mechanical Power in Induction Motor
Go Mechanical Power = (1-Slip)*Input Power
Rotor Frequency given Supply Frequency
Go Rotor Frequency = Slip*Frequency
Resistance given Slip at Maximum Torque
Go Resistance = Slip*Reactance
Reactance given Slip at Maximum Torque
Go Reactance = Resistance/Slip
Breakdown Slip of Induction Motor
Go Slip = Resistance/Reactance
Slip given Efficiency in Induction Motor
Go Slip = 1-Efficiency

Rotor Current in Induction Motor Formula

Rotor Current = (Slip*Induced EMF)/sqrt(Rotor Resistance per Phase^2+(Slip*Rotor Reactance per Phase)^2)
Ir = (s*Ei)/sqrt(Rr(ph)^2+(s*Xr(ph))^2)

What is the main difference between the field current and armature current?

Field Current - Current flows in Field Winding or stationary winding of Motor or generator is called field current. Armature Current - Current Flows in Armature Winding or rotating Winding of Motor or generator is called Armature Current.

How to Calculate Rotor Current in Induction Motor?

Rotor Current in Induction Motor calculator uses Rotor Current = (Slip*Induced EMF)/sqrt(Rotor Resistance per Phase^2+(Slip*Rotor Reactance per Phase)^2) to calculate 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 Ir symbol.

How to calculate Rotor Current in Induction Motor using this online calculator? To use this online calculator for Rotor Current in Induction Motor, enter Slip (s), Induced EMF (Ei), Rotor Resistance per Phase (Rr(ph)) & Rotor Reactance per Phase (Xr(ph)) and hit the calculate button. Here is how the Rotor Current in Induction Motor calculation can be explained with given input values -> 0.218591 = (0.19*67.3)/sqrt(56^2+(0.19*89)^2).

FAQ

What is Rotor Current in Induction Motor?
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 and is represented as Ir = (s*Ei)/sqrt(Rr(ph)^2+(s*Xr(ph))^2) or Rotor Current = (Slip*Induced EMF)/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, Induced EMF is the EMF generated due to the motion, 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?
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 is calculated using Rotor Current = (Slip*Induced EMF)/sqrt(Rotor Resistance per Phase^2+(Slip*Rotor Reactance per Phase)^2). To calculate Rotor Current in Induction Motor, you need Slip (s), Induced EMF (Ei), Rotor Resistance per Phase (Rr(ph)) & Rotor Reactance per Phase (Xr(ph)). With our tool, you need to enter the respective value for Slip, Induced EMF, 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, Induced EMF, 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*Turn Ratio*Stator Voltage)/sqrt(Rotor Resistance per Phase^2+(Slip*Rotor Reactance per Phase)^2)
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