Unformatted text preview: capacitors. We can therefore draw the useful analogy: capacitors are to charge as inductors are to current. 11.5 Energy Stored in a Magnetic Field As with capacitors, we are now in a position to talk about the energy stored in a magnetic ﬁeld. We will forgo the hand-wavy derivation and simply quote the results here. The energy stored in a magnetic ﬁeld within a conductor is U = 1 2 Li 2 (40) Note that this is very similar to the energy dissipated by a resistor and to the energy stored in a capacitor. As with capacitors, we can use the idea of energy stored in an inductive magnetic ﬁeld to sneak in the back door of the much broader and more important concept of energy density. The energy density of a magnetic ﬁeld (no matter how it is produced) is u = 1 2 μ B 2 (41) Notice that this is very similar to the energy density of an electric ﬁeld. 43...
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This note was uploaded on 12/05/2011 for the course PHY 2049 taught by Professor Any during the Spring '08 term at University of Florida.
- Spring '08