Chapter 31219*P31.14(a)Each coil has a pulse of voltage tending to producecounterclockwise current as the projectileapproaches, and then a pulse of clockwise voltageas the projectile recedes.(b)vdt==×=−150106253. m2.40smsV1V2t0∆VFIG. P31.14P31.15εθθddtNBNBtAA22coscosej∆∆A××−×°=−−−ε∆∆tcos..cos..80 0 100 40050 600 10200 1030 0136366V sT TmafafafLength =4413650272ANmmaf*P31.16(a)Suppose, first, that the central wire is long and straight. The enclosed current of unknownamplitude creates a circular magnetic field around it, with the magnitude of the field givenby Ampere’s Law.Bs⋅=zdIµ0:BItR=µωπ02maxsinat the location of the Rogowski coil, which we assume is centered on the wire. This fieldpasses perpendicularly through each turn of the toroid, producing fluxBA02IA tRmaxsin.The toroid has 2Rnturns. As the magnetic field varies, the emf induced in it isεπωµω=−⋅ =−NddtRnIARddttInAt2200maxmaxsincos.This is an alternating voltage with amplitude
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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 .