Referred Resistance given Rotor Resistance Calculator

✖The effective turn ratio of an induction motor is a measure of the ratio of the voltage induced in the stator winding to the voltage induced in the rotor winding.ⓘ Effective Turn Ratio [a_eff]			+10% -10%
✖Rotor resistance per phase the resistance of the AC induction motor rotor.ⓘ Rotor Resistance [R_r]			+10% -10%

✖Referred Resistance is defined as the resistance of the rotor referred to the primary of the induction motor.ⓘ Referred Resistance given Rotor Resistance [R₂]

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Formula

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Referred Resistance given Rotor Resistance

Formula

`"R"_{"2"} = "a"_{"eff"}^2*"R"_{"r"}`

Example

`"13.456Ω"=("1.45")^2*"6.4Ω"`

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Referred Resistance given Rotor Resistance Solution

STEP 0: Pre-Calculation Summary

Formula Used

Referred Resistance = Effective Turn Ratio^2*Rotor Resistance
R₂ = a_eff^2*R_r
This formula uses 3 Variables

Variables Used

Referred Resistance - (Measured in Ohm) - Referred Resistance is defined as the resistance of the rotor referred to the primary of the induction motor.
Effective Turn Ratio - The effective turn ratio of an induction motor is a measure of the ratio of the voltage induced in the stator winding to the voltage induced in the rotor winding.
Rotor Resistance - (Measured in Ohm) - Rotor resistance per phase the resistance of the AC induction motor rotor.

STEP 1: Convert Input(s) to Base Unit

Effective Turn Ratio: 1.45 --> No Conversion Required
Rotor Resistance: 6.4 Ohm --> 6.4 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R₂ = a_eff^2*R_r --> 1.45^2*6.4

Evaluating ... ...

R₂ = 13.456

STEP 3: Convert Result to Output's Unit

13.456 Ohm --> No Conversion Required

FINAL ANSWER

13.456 Ohm <-- Referred Resistance

(Calculation completed in 00.004 seconds)

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Credits

Created by Parminder Singh

Chandigarh University (CU), Punjab

Parminder Singh has created this Calculator and 100+ more calculators!

Verified by Aman Dhussawat

GURU TEGH BAHADUR INSTITUTE OF TECHNOLOGY (GTBIT), NEW DELHI

Aman Dhussawat has verified this Calculator and 100+ more calculators!

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Referred Resistance given Rotor Resistance Formula

Referred Resistance = Effective Turn Ratio^2*Rotor Resistance
R₂ = a_eff^2*R_r

Explain the rotor circuit model?

The greater the relative motion between the rotor and the stator magnetic fields, the greater the resulting rotor voltage and rotor frequency, The largest relative motion occurs when the rotor is stationary, called the locked-rotor or blocked-rotor condition, so the largest voltage and rotor frequency arc induced in the rotor at that condition.

How to Calculate Referred Resistance given Rotor Resistance?

Referred Resistance given Rotor Resistance calculator uses Referred Resistance = Effective Turn Ratio^2*Rotor Resistance to calculate the Referred Resistance, The Referred Resistance given Rotor Resistance formula refers to the effective resistance seen by the stator winding of the motor when the effects of the rotor are taken into account. Referred Resistance is denoted by R₂ symbol.

How to calculate Referred Resistance given Rotor Resistance using this online calculator? To use this online calculator for Referred Resistance given Rotor Resistance, enter Effective Turn Ratio (a_eff) & Rotor Resistance (R_r) and hit the calculate button. Here is how the Referred Resistance given Rotor Resistance calculation can be explained with given input values -> 13.456 = 1.45^2*6.4.

FAQ

What is Referred Resistance given Rotor Resistance?

The Referred Resistance given Rotor Resistance formula refers to the effective resistance seen by the stator winding of the motor when the effects of the rotor are taken into account and is represented as R₂ = a_eff^2*R_r or Referred Resistance = Effective Turn Ratio^2*Rotor Resistance. The effective turn ratio of an induction motor is a measure of the ratio of the voltage induced in the stator winding to the voltage induced in the rotor winding & Rotor resistance per phase the resistance of the AC induction motor rotor.

How to calculate Referred Resistance given Rotor Resistance?

The Referred Resistance given Rotor Resistance formula refers to the effective resistance seen by the stator winding of the motor when the effects of the rotor are taken into account is calculated using Referred Resistance = Effective Turn Ratio^2*Rotor Resistance. To calculate Referred Resistance given Rotor Resistance, you need Effective Turn Ratio (a_eff) & Rotor Resistance (R_r). With our tool, you need to enter the respective value for Effective Turn Ratio & Rotor Resistance and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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