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Lecture-17-03-18-08 - Lecture-17 Resonance in LRC Circuit...

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1 Lecture-17 Resonance in LRC Circuit Forced Harmonic Oscillation If LRC circuit is driven by AC source with V Drive , then The current in circuit maximizes when drive frequency ω Drive equals circuit’s own ω LRC . Total circuit resistance against the current is at minimum. The total circuit resistance, i.e., impedance , can be calculated by “phasors.” Note that under steady state condition, rms values can be used for I, V R , V L , V C : V R rms Square Root of <V R 2 > , where Thus V R rms I rms R V L rms I rms X L , where X L = ω L V C rms I rms X C , where X C = ( ω C) -1 t V C Q dt dQ R dt Q d L D o ω sin 2 2 = + + 2 2 2 0 2 2 0 2 2 1 ) ( sin 1 ) ( 1 2 R I dt t R I T dt IR T V o T o T R = = >= < ω
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