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An inductor of inductance 2.0 mH s conne...

An inductor of inductance `2.0 mH` s connected across a charged capacitor of capacitance `5.0 mu F` and the resulting `LC` circuit is set oscillating at its natural frequency. Let `Q` denote the instantaneous charge on the capacitor and `I` the current in the circuit. It is found that the maximum value of charge `Q` is `200 mu C`.
a. When `Q = 100 mu C`, what is the value of `|(dI)/(dt)|`?
b. When `Q = 200 mu C`, what is the value of `I`?
c. Find the maximum value of `I`.
d. When `I` is equal to one-half its maximum value, what is the value of `|Q|`?

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