An inductor resonates at (4.08 times 10^{4} mathrm{~s}^{-1}) when placed in series with a (2.00-mu mathrm{F}) capacitor.

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An inductor resonates at \(4.08 \times 10^{4} \mathrm{~s}^{-1}\) when placed in series with a \(2.00-\mu \mathrm{F}\) capacitor. When driven at that resonant angular frequency, an AC source for which \(\varepsilon_{\max }=5.00 \mathrm{~V}\) produces a \(0.400-\mathrm{A}\) current in the circuit. What is the inductance? What is the resistance in the circuit?

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