Circuit Theory/LC Tuned Circuits

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Series LC[edit]

A circuit of one Capacitor and one inductor connected in series

Circuit Impedance[edit]

Natural Response[edit]

At equilibrium , the total volatge of the two components are equal to zero

The Natural Response of the circuit is a Exponential Decrease in time

Resonance Response[edit]

.

In Resonance, Impedance of Inductor and Capacitance is equal and the sum of the Capacitor and Inductor's voltage are equal result in Standing Wave Oscillation . Therefore, Lossless LC series can generate Standing Wave Oscillation

LC in Parallel[edit]

A circuit of one Capacitor and one inductor connected in parallel

Circuit Impedance[edit]