IDNStudy.com, kung saan nagtatagpo ang mga eksperto para sagutin ang iyong mga tanong. Tuklasin ang malawak na hanay ng mga paksa at makahanap ng maaasahang sagot mula sa mga bihasang miyembro ng aming komunidad.

What is the reluctance of a material that has a length of 0.70mm, cross-sectional area of 1500 mm', and permeability of 4,500 uWb/At • m?

Sagot :

Given:

[tex]length \: (\( l \)) = 0.70 mm = 0.70 \times 10^{-3} m,[/tex]

[tex]- Cross-sectional area (\( A \)) = 1500 mm\(^2\) = 1500 \times 10^{-6} m\(^2\),[/tex]

[tex]- Permeability (\( \mu \)) = 4500 µWb/At·m = 4500 \times 10^{-6} Wb/At·m.[/tex]

Plugging in these values:

[tex]\[ \mathcal{R} = \frac{0.70 \times 10^{-3} \text{ m}}{4500 \times 10^{-6} \text{ Wb/At·m} \times 1500 \times 10^{-6} \text{ m}^2} \]

[/tex]

Simplify the expression:

[tex]\[ \mathcal{R} = \frac{0.70 \times 10^{-3}}{4500 \times 1500 \times 10^{-12}} \]

[/tex]

[tex]\[ \mathcal{R} = \frac{0.70 \times 10^{-3}}{6.75 \times 10^{-6}} \][/tex]

[tex]\[ \mathcal{R} = \frac{0.70}{6.75} \times 10^{3} \][/tex]

[tex]\[ \mathcal{R} \approx 0.1037 \times 10^{3} \][/tex]

[tex]\[ \mathcal{R} {\boxed{\approx 103.7 \text{ At/Wb} \]}}[/tex]