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Question:

What is the maximum current through the inductor as the circuit oscillates?

An electric oscillator is made with a 0.10 uF capacitor and a 1.0 mH inductor. The capacitor is initially charged to 5.0 V.

Answer:

This may be an overly long method and an incorrect interpretation of the question but assuming it is an inductor and capacitor in parallel: Impedance of inductor 2πfL and imp. of capacitor 1 / (2πfC) When the current resonates the impedances are equal and thus this equation is formed: 1 / (2π√(RC)) f, the resonant frequency. So you calculate the frequency and that allows you to get the impedance of the inductor or capacitor - which turns out to be 100 ohms. In parallel two 100 ohm components give an impedance of 50 ohms (1 / R 1 / R1 + 1 / R2). Therefore the maximum current should be 5V / 50? 0.1 A

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