LC oscillations analysis

In LC oscillations of a capacitor with an initial charge q_(0) is connected in parallel.

In LC oscillation resistance is 100 Omega and inductance and capacitance is 1 H and 10 mu F . Find the half power of frequency .

A 16 mu F capacitor is charged to a 20 Volt potential. Battery is then disconnected and inductor of inductance 40 mH is connected across the capacitor, So that LC oscillations are step-up. Maximum current in the coil is

A 16 muF capacitor is charged to 20 volts. The battery is then disconnected and a pure 40mH coil is connected across the capacitor so that LC oscillations are set up. The maximum current in the coil is

A 10 mu F capacitor is charged to a potential of 25 V. The battery is then disconnected and a pure 100 mH coil is connected across the capacitor so that LC oscillations are set-up. What is the maximum current in the coil ?

Assertion : Angular frequency of LC oscillations is 2 rad//s and maximum current in the circuit is 1 A . Then, maximum rate of change of current should be 2 A//s . Reason: ((dI)/(dt))_(max)=(I_(max))omega

The frequency of LC oscillation is given by

Lc oscillation and induced electric field