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FM radio stations use radio waves with frequencies from 88.0 to $108 \mathrm{MHz}$ to broadcast their signals. Assuming that the inductance in Figure $24-5$ has a value of $6.00 \times 10^{-7} \mathrm{H}$ determine the range of capacitance values that are needed so the antenna can pick up all the radio waves broadcasted by FM stations.
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Step 1: The resonant frequency of a circuit with an inductor and a capacitor is given by the formula: \[f = \frac{1}{2\pi\sqrt{LC}}\] where \(f\) is the frequency, \(L\) is the inductance, and \(C\) is the capacitance. Show more…
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FM radio stations use radio waves with frequencies from 88.0 to $108 \mathrm{MHz}$ to broadcast their signals. Assuming that the inductance in Figure 24.4 has a value of $6.00 \times 10^{-7} \mathrm{H},$ determine the range of capacitance values that are needed so the antenna can pick up all the radio waves broadcasted by FM stations.
FM radio stations use radio waves with frequencies from 88.0 to 108 $\mathrm{MHz}$ to broadcast their signals. Assuming the inductance in Figure 24.4 has a value of $6.00 \times 10^{-7} H$ . determine the range of capacitance values that are needed so the antenna can pick up all the radio waves broad casted by FM stations.
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