예제(자기인턱턴스계산)⁕

\[\mu _{s} =3,000, S=2[cm ^{2}],l=20[cm]\]\[N=300,L=?\]

\[F= \oint _{ l} ^{ } {\vec H \cdot \vec{dl} = } NI = \Phi R_m\]

\[ \Phi = \frac{NI}{R_m} ← R_m =\frac { l} { \mu S}\]

\[\Phi = \frac{ \mu N I S} { l} [\omega b]\]

\[ L=\frac{ N \Phi} {I } =\frac {\mu N^2 S} { l } = \frac{\mu_0 \mu_s N^2 S} { l }\]

\[ =\frac{4 \pi \times 10 ^{-7} \times 3,000 \times 300 ^{2} \times 2 \times 10 ^{-4}}{0.2}\] \[=0.339[H]\]