234 Faraday’s LawP31.61The flux through the coil is ΦBBABAt=⋅ ==BAcoscosθω. The induced emf isεωωω=−=NddtNBAdtdtNBAtBΦcossinbg.(a)εωmax......==×=NBA60 0 1 000 100 0 20030 036 0T mradsV2afej(b)ddtNBΦ=, thus ddtNBΦmaxmax.==36 00 6000 600V60.0V Wbs(c)At t=00500. s, t=150.rad andεε=maxsin ..sin ..360359radVradVafaf.(d)The torque on the coil at any time isτµ=×=×==FHGIKJFHGIKJBNINAB ItRtsinsinmax.When =max, sin.t=1 00 and τ=⋅max..2236 030 010 0432RVrad sNmΩ.P31.62(a)We use NtB∆Φ∆, with N=1 .Taking a=×−500 103mto be the radius of the washer, and h=0500m,∆ΦBBA BA AB BaIhaIaaIha aahI=−=−=+−FHGIKJ=+−FHGIKJ=−+21212002222112πµµµ.The time for the washer to drop a distance h(from rest) is:∆thg=2.Therefore,=+=+=+0222ahIhatahIghaIgh∆and=×⋅×+=−−4105 00 1010 02 0 5000 005 00980297 473TmAmAm mmsmnV2ej(b)Since the magnetic flux going through the washer (into the plane of the paper) is decreasingin time, a current will form in the washer so as to oppose that decrease. Therefore, the
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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 .