Question

A 375 pF capacitor is charged to 185 V and then quickly connected to a 255 mH inductor.

Determine the frequency of oscillation.

Express your answer with the appropriate units.

Determine the peak value of the current.

Express your answer with the appropriate units.

Determine the maximum energy stored in the magnetic field of the inductor.

Express your answer with the appropriate units.

Answer 1

Frequency of an LC oscillator is given by

Peak current can be found using conservation of energy.

Initially current is 0 and all the energy is stored in the capacitor.

when current is maximum all this energy will go to inductor.

Energy in inductor is given by

equating the initial energy with the maximum energy in inductor we get

Maximum energy in inductor is equal to maximum energy in capacitor that is the initial energy in capacitor.

6.41*10^-6J