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Chapter 1 of 12 • Page 1 of 248🔒 Protected PDF • Watermarked
Back to Practice Questions
ElectricalMachine
PrevNext

Flux in the rotor core section ∅𝒄 =

A

ϕm\phi_mϕm​

B

ϕm\phi_mϕm​

C

ϕm\phi_mϕm​

D

None of these

Correct Answer

⚙️ TE • Technical Concept & PrincipleElectricalMachine
Option A

ϕm\phi_mϕm​

Quick Summary:

In an induction motor, the magnetic flux ϕm\phi_mϕm​ established by the stator revolving magnetic field cuts the rotor conductors. At standstill, the entire flux ϕm\phi_mϕm​ links the rotor core section, making the rotor core flux ϕc=ϕm\phi_c = \phi_mϕc​=ϕm​.

⚙️TETechnical SolutionConcept & Principle
💡 Explanation

In an induction motor, the magnetic flux ϕm\phi_mϕm​ established by the stator revolving magnetic field cuts the rotor conductors. At standstill, the entire flux ϕm\phi_mϕm​ links the rotor core section, making the rotor core flux ϕc=ϕm\phi_c = \phi_mϕc​=ϕm​.

🔢 Key Formulas

ϕc=ϕm\phi_c = \phi_mϕc​=ϕm​ — The rotor core flux is equal to the mutual air-gap flux.

ϕc=ϕm2\phi_c = \frac{\phi_m}{2}ϕc​=2ϕm​​ — (Only in cases where the flux splits between two parallel magnetic paths in the rotor).

⚙️ Working Principle

The stator produces a rotating magnetic field of flux ϕm\phi_mϕm​ which revolves at synchronous speed. This flux path is completed through the stator core, air gap, and the rotor core. Since the rotor core acts as the path for the flux reaching the inner circumference of the stator, it carries the same mutual flux ϕm\phi_mϕm​ as the stator core.

📌 Key Points
  • ▸

    The magnetic circuit of an induction motor consists of stator core, air gap, and rotor core.

  • ▸

    The rotor core carries the flux that passes through the stator teeth and air gap.

  • ▸

    The magnetic flux density in the rotor core is determined by the cross-sectional area and the flux ϕm\phi_mϕm​.

✅ Advantages
  • ▸

    Ensures uniform torque production.

  • ▸

    Provides low reluctance path for magnetic flux.

❌ Disadvantages / Limitations
  • ▸

    Subject to eddy current losses.

  • ▸

    Requires high permeability core material to minimize excitation current.

🛠️ Applications / Uses
  • ▸

    Polyphase induction motor core design.

  • ▸

    Synchronous machine rotor core calculations.

📄 Additional Information
  • ▸

    In some large machines, the magnetic circuit is designed such that the flux splits into two, meaning the core flux density is calculated based on ϕm/2\phi_m/2ϕm​/2. However, for general induction motor theory, the total flux is considered ϕm\phi_mϕm​.

  • ▸

    Option B and C are identical to A in the provided prompt, which typically suggests the question focus is simply identifying the relationship between rotor flux and mutual flux.

📊 Diagram / Illustration
Rotor Core Flux PathFlux in Rotor Core (φc)Total Mutual Flux (φm)φc = φm
✅

A is correct — The rotor core flux ϕc\phi_cϕc​ is equal to the mutual flux ϕm\phi_mϕm​ produced by the stator.

Core Concepts Used
Click any tag to open in AI Tutor
Magnetic Circuit of Induction Motor Mutual Flux Rotor Core Design
💡 EXAM TIP

Always verify if the machine design implies a split flux path (common in large machines) or a single path, as ϕcore=ϕm/2\phi_{core} = \phi_m / 2ϕcore​=ϕm​/2 might be required in specific professional exams.

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