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Understanding L-C Circuit Dynamics: Voltage Current & Energy Analysis
Chapter 30, Problem 30.58(choose chapter or problem)
An L-C circuit consists of a 60.0-mH inductor and a \(250-\mu \mathrm{F}\) capacitor. The initial charge on the capacitor is \(6.00\ \mu\mathrm{C}\), and the initial current in the inductor is zero.
(a) What is the maximum voltage across the capacitor?
(b) What is the maximum current in the inductor?
(c) What is the maximum energy stored in the inductor?
(d) When the current in the inductor has half its maximum value, what is the charge on the capacitor and what is the energy stored in the inductor?
Questions & Answers
QUESTION:
An L-C circuit consists of a 60.0-mH inductor and a \(250-\mu \mathrm{F}\) capacitor. The initial charge on the capacitor is \(6.00\ \mu\mathrm{C}\), and the initial current in the inductor is zero.
(a) What is the maximum voltage across the capacitor?
(b) What is the maximum current in the inductor?
(c) What is the maximum energy stored in the inductor?
(d) When the current in the inductor has half its maximum value, what is the charge on the capacitor and what is the energy stored in the inductor?
ANSWER:Step 1 of 5
\(\begin{array}{l} Q=6 \times 10^{-6} \mathrm{C} \\ C=250 \times 10^{-6} \mathrm{~F} \\ v_{\max }=? \\ L=60 \times 10^{-3} \mathrm{H} \\ U=? \quad q=? \end{array}\)
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Understanding L-C Circuit Dynamics: Voltage Current & Energy Analysis
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Explore the intricate dynamics of an L-C circuit as we analyze voltage current and energy transitions between a 60.0 millihenry inductor and a 250 microfarad capacitor. Understand the principles of energy transfer and storage in this system. Uncover key insights from calculations on capacitor charges and inductor energies at specific circuit conditions.