# Q7.10  A radio can tune over the frequency range of a portion of broadcast band: . If its circuit has an effective inductance of , what must be the range of its variable capacitor?

Given,

Range of the frequency in which radio can be tune = The effective inductance of the Circuit = Now, As we know,  where is tuning frequency.

For getting the range of the value of a capacitor, let's calculate the two values of the capacitor, one maximum, and one minimum.

first, let's calculate the minimum value of capacitance which is the case when tuning frequency = 800KHz. Hence the minimum value of capacitance is 198pF.

Now, Let's calculate the maximum value of the capacitor.

in this case, tuning frequency = 1200KHz Hence the maximum  value of the capacitor is 88.04pf

Hence the Range of the values of the capacitor is .

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