Question 12.48: A manufacturer’s specifications for one of his offerings are...

(a)

  \begin{aligned} Q &=\frac{\omega_T L}{R_{a c}} \Rightarrow R_{a c}=\frac{\omega_T L}{Q} \\\\ &=\frac{2 \pi(2.52  MHz )(22  \mu H )}{50}=6.97   \Omega . \end{aligned}

(b)

  \begin{aligned} S R F &=\frac{1}{2 \pi \sqrt{L C}} \Rightarrow C=\frac{1}{(2 \pi S R F)^2 L} \\\\ &=\frac{1}{4 \pi^2(13  MHz )^2(22  \mu H )}=6.81  pF \end{aligned}