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Inductor

2 June, 2016 - 15:17
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Figure 3.4 Inductor 
 

The inductor stores magnetic flux, with larger valued inductors capable of storing more flux. Inductance has units of henries (H), and is named for the American physicist Joseph Henry8 . The differential and integral forms of the inductor's v-i relation are

v(t)=L\frac{d}{dt}i\left ( t \right )\ or\ i(t)=\frac{1}{L}\int_{-\infty }^{t}v(\alpha)d\alpha

The power consumed/produced by an inductor depends on the product of the inductor current and its derivative

p(t)=Li(t)\frac{d}{dt}i(t)

and its total energy expenditure up to time t is given by

E(t)=\frac{1}{2}Li^2(t)

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