Correct Answer

⚙️ TE • Technical Concept & PrincipleElectricalMachine

Option A

Tooth Width

Quick Summary:

The magnetic flux density in the stator teeth is inversely proportional to the tooth width. Since the total flux per pole must pass through the teeth area, reducing the tooth width increases the concentration of flux lines, thereby increasing flux density.

⚙️TETechnical SolutionConcept & Principle

💡 Explanation

🔢 Key Formulas

$B_{teeth} = \frac{\Phi}{W_t \times L_i}$ — Flux density in stator teeth

$\Phi = \frac{V}{4.44 f N K_w}$ — Flux per pole formula

⚙️ Working Principle

The stator teeth provide the path for the magnetic flux crossing the air gap. The flux per pole ( $\Phi$ ) is determined by the stator voltage and frequency. Given $\Phi = B_t \times A_t$ , where $B_t$ is the flux density and $A_t$ is the cross-sectional area of the teeth, we have $B_t = \frac{\Phi}{W_t \times L_i}$ , where $W_t$ is the tooth width and $L_i$ is the effective stack length. Thus, $B_t$ is directly governed by $W_t$ .

📌 Key Points

▸
Flux density is defined as the flux per unit cross-sectional area of the magnetic path.
▸
The area of a stator tooth is the product of tooth width and the effective core length.
▸
Higher flux density in teeth leads to magnetic saturation and increased core losses.
▸
Proper tooth design is essential to prevent excessive heating and nonlinear magnetic behavior.

✅ Advantages

▸
Uniform flux distribution
▸
Optimized magnetic performance

❌ Disadvantages / Limitations

▸
Increased weight if teeth are too wide
▸
Magnetic saturation if teeth are too narrow

🛠️ Applications / Uses

▸
Design of induction motor stators
▸
Optimization of magnetic circuits in rotating machines

📄 Additional Information

▸
Stator teeth width is a critical design parameter that influences the slot space available for windings.
▸
Option B (Tooth Height) primarily affects the leakage reactance and slot volume, not the cross-sectional area for flux.
▸
Option C (Stator Core Length) is part of the area denominator, but in design, the teeth width is the primary variable adjusted for local flux control.

📊 Diagram / Illustration

✅

A is correct — The flux density in the stator teeth is inversely proportional to the tooth width, as they define the cross-sectional area through which the pole flux must flow.

Core Concepts Used

Click any tag to open in AI Tutor

Magnetic Flux Density Magnetic Circuit Design Stator Geometry

💡 EXAM TIP

In machine design exams, always remember: Flux Density ( $B$ ) = Flux ( $\Phi$ ) / Area ( $A$ ). If the denominator (Area) decreases, the Flux Density must increase.

Discussion (0)

Loading discussion...

Prev Next

Correct Answer

Related Questions

Discussion (0)