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Question -

A radio can tune over thefrequency range of a portion of MW broadcast band: (800 kHz to 1200 kHz). Ifits┬аLC┬аcircuit has an effective inductance of 200 ╬╝H, whatmust be the range of its variable capacitor?



Answer -

The range of frequency (╬╜) of aradio is 800 kHz to 1200 kHz.

Lower tuning frequency, ╬╜1┬а=800 kHz = 800 ├Ч 103┬аHz

Upper tuning frequency, ╬╜2┬а=1200 kHz = 1200├Ч 103┬аHz

Effective inductance ofcircuit┬аL┬а= 200 ╬╝H = 200 ├Ч 10тИТ6┬аH

Capacitanceof variable capacitor for ╬╜1┬аis given as:
C1

Where,

╧Й1┬а= Angularfrequency for capacitor┬аC1

Capacitance of variable capacitorfor ╬╜2,

C2┬а

Where,

╧Й2┬а= Angularfrequency for capacitor┬аC2

Hence, the range of the variablecapacitor is from 88.04 pF┬аto 198.1┬аpF.

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