A Radio Tuning Circuit A radio can be tuned into a particular station frequency

Question

A Radio Tuning Circuit

A radio can be tuned into a particular station frequency by adjusting the capacitance in an L-C circuit. Suppose that the minimum capacitance of a variable capacitor in a radio is 4.14pF .

Part A

What is the inductance L of a coil connected to this capacitor if the oscillation frequency of the L-Ccircuit is 1.68MHz , corresponding to one end of the AM radio broadcast band, when the capacitor is set to its minimum capacitance?

Part B

The frequency at the other end of the broadcast band is 0.550MHz . What is the maximum capacitance Cmax of the capacitor if the oscillation frequency is adjustable over the range of the broadcast band?

Explanation / Answer

As

f = 1/[2 pi sqrt(LC)]

Thus, solving for L,

L = 2.17*10^-3 H   [ANSWER]

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Using the same equation, and using the L we got above,
Cmax = 3.86*10^-11 F   [ANSWER]

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