A 86.0-F capacitor is connected to a generator operatingat a low frequency. The

Question

A 86.0-F capacitor is connected to a generator operatingat a low frequency. The rms voltage of the generator is 4.60 V andis constant. A fuse in series with the capacitor has negligibleresistance and will burn out when the rms current reaches 11.0 A.As the generator frequency is increased, at what frequency will thefuse burn out? please include all the steps :) thanks. A 86.0-F capacitor is connected to a generator operatingat a low frequency. The rms voltage of the generator is 4.60 V andis constant. A fuse in series with the capacitor has negligibleresistance and will burn out when the rms current reaches 11.0 A.As the generator frequency is increased, at what frequency will thefuse burn out? please include all the steps :) thanks.

Explanation / Answer

   Capacitivereactance   XC   =   1/ 2 * f * C    Current   I   =   V /XC                      =   V* 2 * f * C    =>   given   I   =   11.0   A       Capacitace   C   =   86.0F    11.0   =   4.60 * 2* 3.14 * f * 86.0 * 10-6    frequency at which the fuse blowsout         f   =   11.0/ 2.48 * 10-3                                                                         =   4.43* 103   Hz                                                                         =   4.43* 103   Hz

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