250 Inductance*P32.44The large coil produces this field at the center of the small coil: NIRxR10112212322µ+ej. The field is normal tothe area of the small coil and nearly uniform over this area, so it produces fluxΦ122212222=+RRπthrough the face area of the small coil. When current I1varies, this is theemf induced in the small coil:εµππµ22101222212112 0122221211=−++NddtNRRINNRRdIdtMdIdtso M=+2222122.P32.45With II I=+12, the voltage across the pair is:∆VLdIdtMdIdtLdIdtMdIdtLdIdt−−1221eq.So,−=+dIdtVLMLdIdt12∆and−++=LdIdtMVLMLdIdtV221212∆∆af(a)(b)FIG. P32.45=−LLMdIdtM221bg∆.By substitution,dIdtVLMLdIdt21∆leads to=−MdIdtM212∆.Adding  to ,
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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 .