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ElectricalMachine
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What is the condition to derive Maximum Starting torque from Developed torque?

A

A) R2 = X2

B

B) Slip = 1

C

C) R2 = X2

D

D) Both S=1 and R2 = X2

Correct Answer

тЪЩя╕П TE тАв Technical Concept & PrincipleElectricalMachine
Option D

Both S=1 and R2 = X2

Quick Summary:

The correct answer is D) Both S=1 and R2 = X2. This condition indicates that maximum starting torque occurs when slip is at its maximum value (1) and rotor resistance equals the rotor reactance.

тЪЩя╕ПTETechnical SolutionConcept & Principle
ЁЯТб Explanation

The correct answer is D) Both S=1 and R2 = X2. This condition indicates that maximum starting torque occurs when slip is at its maximum value (1) and rotor resistance equals the rotor reactance.

ЁЯФв Key Formulas

TmaxтИЭV2R2+jX2T_{max} \propto \frac{V^2}{R_2 + jX_2}TmaxтАЛтИЭR2тАЛ+jX2тАЛV2тАЛ тАФ Developed torque representation

S=NsтИТNrNsS = \frac{N_s - N_r}{N_s}S=NsтАЛNsтАЛтИТNrтАЛтАЛ тАФ Slip definition

тЪЩя╕П Working Principle

When slip (S) is 1, it implies that the motor is at standstill, leading to maximum induced current and consequently maximum torque. The condition R2 = X2 signifies that the rotor resistance equals the rotor reactance, optimizing the torque developed at this slip.

ЁЯУМ Key Points
  • тЦ╕

    Maximum torque is achieved at a slip of 1.

  • тЦ╕

    Balancing rotor resistance and reactance enhances torque output.

тЬЕ Advantages
  • тЦ╕

    Provides high starting torque for heavy loads

  • тЦ╕

    Optimizes rotor dynamics for efficiency

тЭМ Disadvantages / Limitations
  • тЦ╕

    Can lead to higher losses at high slip

  • тЦ╕

    Might cause overheating under prolonged operation

ЁЯЫая╕П Applications / Uses
  • тЦ╕

    Used in applications requiring high starting torque

  • тЦ╕

    Applicable in cranes and elevators

ЁЯУД Additional Information
  • тЦ╕

    Rotor resistance (R2) and reactance (X2) should be optimized for performance.

  • тЦ╕

    Option A is incorrect as it does not consider slip being equal to one.

ЁЯУК Diagram / Illustration
Maximum Starting Torque ConditionS = 1R2 = X2Max Torque Occurs Here
тЬЕ

D is correct тАФ Both conditions are necessary for maximizing starting torque.

Core Concepts Used
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Induction Motors Torque Development Slip in Motors
ЁЯТб EXAM TIP

Understanding the relationship between rotor resistance, reactance, and slip is vital in optimizing motor performance.

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