Electromagnetic Oscillations (quantitative):


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           Consider the LC circuit as discussed earlier. The total energy stored in the LC circuit is given as:

Since the total energy in an ideal LC circuit remains constant, the differential equation which governs the behavior of the circuit will be:

The solution of this differential equation will be: , where Qmax is the maximum charge of the capacitor and the angular frequency ω is given by,

This is the natural frequency of oscillation of the LC circuit and depends solely upon the inductance and capacitance of the circuit. The following graph shows the oscillation in an LC circuit.