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ElectricalMachine
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If the supply frequency of a transformer is 50Hz, its magnetostriction frequency would be

A

25 Hz

B

200 Hz

C

50 Hz

D

100 Hz

Correct Answer

тЪЩя╕П TE тАв Technical Concept & PrincipleElectricalMachine
Option D

100 Hz

Quick Summary:

The correct answer is D (100 Hz) because the magnetostriction frequency of a transformer is typically twice the supply frequency. Therefore, if the supply frequency is 50 Hz, the magnetostriction frequency is 100 Hz.

тЪЩя╕ПTETechnical SolutionConcept & Principle
ЁЯТб Explanation

The correct answer is D (100 Hz) because the magnetostriction frequency of a transformer is typically twice the supply frequency. Therefore, if the supply frequency is 50 Hz, the magnetostriction frequency is 100 Hz.

ЁЯФв Key Formulas

fm=2fsf_m = 2f_sfmтАЛ=2fsтАЛ тАФ Magnetostriction frequency where fmf_mfmтАЛ is the magnetostriction frequency and fsf_sfsтАЛ is the supply frequency.

тЪЩя╕П Working Principle

The principle of magnetostriction refers to the change in the shape or dimensions of a ferromagnetic material when subjected to a magnetic field. In transformers, this phenomenon occurs at twice the frequency of the alternating current, leading to magnetostrictive vibrations, which are perceived as noise in transformer operation.

ЁЯУМ Key Points
  • тЦ╕

    Magnetostriction frequency is twice the supply frequency for transformers.

  • тЦ╕

    The vibrations produced due to magnetostriction can cause audible noise.

тЬЕ Advantages
  • тЦ╕

    Lower noise operation

  • тЦ╕

    Improved efficiency

тЭМ Disadvantages / Limitations
  • тЦ╕

    Increased potential for mechanical stress

  • тЦ╕

    Possible heating effects

ЁЯЫая╕П Applications / Uses
  • тЦ╕

    Transformers in power systems

  • тЦ╕

    Induction heating applications

ЁЯУД Additional Information
  • тЦ╕

    Standard transformer supply frequency is often 50 Hz in India.

  • тЦ╕

    Option A (25 Hz) is incorrect as it suggests a quarter of the frequency, not relevant.

  • тЦ╕

    Option B (200 Hz) is incorrect as it suggests a four times increase.

  • тЦ╕

    Option C (50 Hz) is the original supply frequency and does not consider magnetostriction.

ЁЯУК Diagram / Illustration
Magnetostriction Frequency100 HzCheck: 50 Hz x 2
тЬЕ

D is correct тАФ the magnetostriction frequency is double the transformer supply frequency.

Core Concepts Used
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Electromagnetism AC Circuit Theory Transformer Operation
ЁЯТб EXAM TIP

Remember that in AC circuits, phenomena like magnetostriction often relate to harmonics and multiple frequencies derived from the fundamental supply frequency.

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