A change in the current of one circuit can induce an

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A change in the current of one circuit can induce an emf in a nearby circuit 1 12 2 12 I N M dt dI M N I M dt d N dt d N 1 12 2 1 12 2 12 2 2 E dt dI M 2 21 1 E It can be shown that: M M M 21 12 dt dI M 2 1 E dt dI M 1 2 E
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I l N B B 0 l A N N I BA N I N M B H H BH H 0
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Provide a transfer of energy between the capacitor and the inductor. Analogous to a spring- block system
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Assume the capacitor is fully charged and thus has some stored energy. When the switch is closed, the charges on the capacitor leave the plates and move in the circuit, setting up a current. This current starts to discharge the capacitor and reduce its stored energy.
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When the capacitor is fully discharged, it stores no energy, but the current reaches a maximum and all the energy is stored in the inductor. At the same time, the current increases the stored energy in the magnetic field of the inductor.
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When the capacitor becomes fully charged (with the opposite polarity), the energy is completely stored in the capacitor again. The e-field sets up the current flow in the opposite direction. The current continues to flow and now starts to charge the capacitor again, this time with the opposite polarity.
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Then the cycle completes itself in reverse.
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At some arbitrary time, t: 2 2 2 1 2 LI C Q U U U L C 0 dt dU 0 2 2 dt Q d L C Q LC 1 Natural frequency of oscillation t Q Q cos max t I t Q I sin sin max max
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