AM radio tuner: The circuit of an AM radio tuner is shown in the figure. The fre

Question

AM radio tuner: The circuit of an AM radio tuner is shown in the figure. The frequency range for AM broadcasting is 540 to 1,600 kHz. (Figure 1) Given that L = 1.0muH, what must be the range of C to have the resonant frequency adjustable from one end of the AM band to another? Find Cmin. Express your answer with the appropriate units. Find Cmax. Express your answer with the appropriate units.

Explanation / Answer

frequency range 540KHz to 1600KHz so fmin=540KHz fmax=1600KHZ f=1/2pv(LC) =>C=(1/2pf)2(1/L) at minimum frequency Cmin =(1/2p*540*103)2(1/1*10-6)=8.687*10-8F or 86.87nF at maximum frequency Cmax=(1/2p*1600*103)2(1/1*10-6)=9.89*10-9F or 9.89nF

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