Chapter 32247(d)∆VLdIdtRI LdIdtRILdIdt=+eqeq11112222where II I12and dIdtdIdtdIdt.We may choose to keep the currents constant in time. Then,1RRReq.We may choose to make the current swing through 0. Then,1LLLeq.This equivalent coil with resistance will be equivalent to the pair of real inductors forall other currents as well.Section 32.3Energy in a Magnetic FieldP32.29LNIB==×=−Φ200 3 70 1017542 34...ejmH so ULI=121204230064822...H AJafaf.P32.30(a)The magnetic energy density is given byµ×⋅=×−B2026624502 1 26 10806 10...TTmAJm3af.(b)The magnetic energy stored in the field equals utimes the volume of the solenoid (thevolume in which Bis non-zero).UuV×=8 06 100 2600 031 06 3262..mmkJ3afbgπP32.31LNA×LNMOQP=−µµ02022268 00 600 1000800821A..HI×=−12128 21 100 7702 44262.AJP32.32
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This note was uploaded on 12/14/2011 for the course PHY 203 taught by Professor Staff during the Fall '11 term at Indiana State University .