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True/False: magnetic loading and teeth flux density

Short answer

FALSE. Higher specific magnetic loading raises gap flux density, which increases tooth flux density, not lowers it.

State and justify whether the following statement is TRUE or FALSE: Higher specific magnetic loading lowers the flux density in teeth.

FALSE.

The teeth carry the gap flux through an iron area smaller than the gap area (tooth width is less than slot pitch). Tooth flux density is roughly

Bt≈Bg×slot pitchtooth width×kiB_t \approx B_g \times \frac{\text{slot pitch}}{\text{tooth width} \times k_i}

So a higher specific magnetic loading (higher BavB_{av}, hence higher BgB_g) raises the flux density in the teeth. This is why BavB_{av} is limited: tooth density should not exceed about 2.1–2.2 Wb/m², otherwise the teeth saturate and a large field mmf is needed.

Example: with Bg=0.8B_g = 0.8 Wb/m², slot pitch 30 mm, tooth width 15 mm and ki=0.9k_i = 0.9, Bt≈0.8×30/(15×0.9)=1.78B_t \approx 0.8 \times 30/(15 \times 0.9) = 1.78 Wb/m²; raising BgB_g to 1.0 Wb/m² gives Bt≈2.22B_t \approx 2.22 Wb/m², which is already at the saturation limit.

✓ Answer checked by Claude Sonnet 5.5

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