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Referred Resistance given Rotor Resistance Formula

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Referred Resistance is defined as the resistance of the rotor referred to the primary of the induction motor. Check FAQs

R 2 = {a eff}^{2} \cdot R r

R₂ - Referred Resistance?a_eff - Effective Turn Ratio?R_r - Rotor Resistance?

Referred Resistance given Rotor Resistance Example

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Here is how the Referred Resistance given Rotor Resistance equation looks like with Values.

Here is how the Referred Resistance given Rotor Resistance equation looks like with Units.

Here is how the Referred Resistance given Rotor Resistance equation looks like.

13.456 = {1.45}^{2} \cdot 6.4

13.456Ω = {1.45}^{2} \cdot 6.4Ω

13.456 = {1.45}^{2} \cdot 6.4

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Referred Resistance given Rotor Resistance Solution

Follow our step by step solution on how to calculate Referred Resistance given Rotor Resistance?

FIRST Step Consider the formula

R 2 = {a eff}^{2} \cdot R r

Next Step Substitute values of Variables

∴

R 2 = {1.45}^{2} \cdot 6.4Ω

Next Step Prepare to Evaluate

∴

R 2 = {1.45}^{2} \cdot 6.4

LAST Step Evaluate

∴

R 2 = 13.456Ω

Referred Resistance given Rotor Resistance Formula Elements

Variables

Referred Resistance

Referred Resistance is defined as the resistance of the rotor referred to the primary of the induction motor.

Symbol: R₂

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Referred Resistance

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.

Symbol: a_eff

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Effective Turn Ratio

Rotor Resistance

Rotor resistance per phase the resistance of the AC induction motor rotor.

Symbol: R_r

Measurement: Electric ResistanceUnit: Ω

Note: Value can be positive or negative.

Formulas to find Rotor Resistance

Other formulas in Impedance category

Go Resistance given Slip at Maximum Torque

R = s \cdot X

Go Reactance given Slip at Maximum Torque

X = \frac{R}{s}

Go Referred Reactane given Rotor Reactance

X 2 = {a eff}^{2} \cdot X R0

How to Evaluate Referred Resistance given Rotor Resistance?

Referred Resistance given Rotor Resistance evaluator uses Referred Resistance = Effective Turn Ratio^2*Rotor Resistance to evaluate 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 evaluate Referred Resistance given Rotor Resistance using this online evaluator? To use this online evaluator for Referred Resistance given Rotor Resistance, enter Effective Turn Ratio (a_eff) & Rotor Resistance (R_r) and hit the calculate button.

FAQs on Referred Resistance given Rotor Resistance

What is the formula to find Referred Resistance given Rotor Resistance?

The formula of Referred Resistance given Rotor Resistance is expressed as Referred Resistance = Effective Turn Ratio^2*Rotor Resistance. Here is an example- 13.456 = 1.45^2*6.4.

How to calculate Referred Resistance given Rotor Resistance?

With Effective Turn Ratio (a_eff) & Rotor Resistance (R_r) we can find Referred Resistance given Rotor Resistance using the formula - Referred Resistance = Effective Turn Ratio^2*Rotor Resistance.

Can the Referred Resistance given Rotor Resistance be negative?

No, the Referred Resistance given Rotor Resistance, measured in Electric Resistance cannot be negative.

Which unit is used to measure Referred Resistance given Rotor Resistance?

Referred Resistance given Rotor Resistance is usually measured using the Ohm[Ω] for Electric Resistance. Megohm[Ω], Microhm[Ω], Volt per Ampere[Ω] are the few other units in which Referred Resistance given Rotor Resistance can be measured.

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