The doping concentrations in a silicon pn junction are (N_{d}=5 times 10^{15} mathrm{~cm}^{-3}) and (N_{a}=10^{17} mathrm{~cm}^{-3}). The

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The doping concentrations in a silicon pn junction are \(N_{d}=5 \times 10^{15} \mathrm{~cm}^{-3}\) and \(N_{a}=10^{17} \mathrm{~cm}^{-3}\). The zero-bias junction capacitance is \(C_{j o}=0.60 \mathrm{pF}\). An inductance of \(1.50 \mathrm{mH}\) is connected in parallel with the pn junction. Calculate the resonant frequency \(f_{o}\) of the circuit for reverse-bias voltages of

(a) \(V_{R}=1 \mathrm{~V}\),

(b) \(V_{R}=3 \mathrm{~V}\), and

(c) \(V_{R}=5 \mathrm{~V}\).

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