# radio_tuner - L = 26 μH what are the maximum and minimum...

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Radio Tuner Given: F i n d : mH L 1 . 3 ? max C kHz f L 550 ? min C ? max kHz f H 1600 L V A i 5 . 2 ? max C V MHz f L 88 ? max C MHz f H 108 ? min C H L 26 You have an inductor that you are planning to use in series with a variable capacitor C in the tuning section of a radio. (a) If you have a fixed inductance L = 3.1 mH, find the maximum and minimum capacitances the variable capacitor must be able to reach in order that the resonant frequencies of the circuit cover the entire AM band: 550 - 1600 kHz. Neglect the internal resistance of the inductor. (b) For the parameters of part (a), if a current is present in the circuit with peak value 2.5 μA, calculate the maximum voltage that appears across the inductor and capacitor, respectively, at the upper end of the AM frequency band. (c) Suppose now you wish to build a variable LC circuit whose resonant frequencies cover the full FM band: 88 - 108 MHz. If you choose a fixed inductance

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Unformatted text preview: L = 26 μH, what are the maximum and minimum capacitances the variable capacitor must reach in this case? Solutions a.) To find & we can use the following formula: max C min C LC 1 f 2 phys 211 LC f 1 2 LC f 1 2 2 2 2 1 f L C 2 max 2 1 L f L C 2 min 2 1 H f L C b.) To find & we can use the following formula: max L V max C V max max L C V V L C U U 2 2 1 Li U L 2 2 1 CV U C 2 2 2 1 2 1 CV Li C Li V 2 H H H L C f Li f L Li f L Li C Li V V 2 2 2 1 2 2 2 2 min 2 max max H L C f Li V V 2 max max c.) To find & we can use the following formula: max C min C 2 2 1 f L C 2 max 2 1 L f L C 2 min 2 1 H f L C...
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radio_tuner - L = 26 μH what are the maximum and minimum...

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