208CHAPTER 21 21.15The ratio of inductive reactance at 250.0 Hzf=to that at 160.0 Hzf=is ( )()22211122LLXfLfXfLπ==f, so 54.0 45.0221150.0 Hz60.0 HzLLfXXf==Ω=50.0 HzΩThe maximum current at 2f=is thenrmsV∆=maxmax200V3.14 A45.0 VI∆=Ω21.16The maximum current in this inductive circuit will be ( )rmsrmsmaxrms22LVVII∆∆=max80.0 mAI<LThus, if , it is necessary that rms2280.0 mAVf∆2250.0Vor 7.03 H220.0 Hz8.0010A−>=>×21.17From BNIΦ=L, the total flux through the coil is ,BtotalBNLIΦ=Φ=⋅where is the flux through a single turn on the coil. Thus, BΦmax,maxmaxrms220V2260.0 HzotalLVLILXVLππ∆Φ=⋅
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