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# A series $R L C$ circuit with $R=3.0 \Omega, C=20 \mathrm{pF}$, and a resonant frequency of $17 \mathrm{MHz}$ is connected to an alternating emf with $\mathcal{E}_{\max }=12 \mathrm{~V}$. $(a)$ What is the amplitude of the voltage across the inductor at resonance? $(b)$ What is the amplitude of the voltage across the resistor at resonance? $(c)$ What is the average power dissipated in this circuit? $(d)$ What is the quality factor $\mathbf{Q}$ of this circuit?

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Given the following:

\begin{aligned} R&=3.0\ \Omega\\ C&=20\ \text{pF}\\ f&=17\ \text{MHz}\\ \xi_{max}&=12\ \text{V} \end{aligned}

Determine a) the voltage across the inductor, b) the voltage across the resistor, c) the average power dissipated, and d) the quality factor.

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