62 Resonance 1

# 62 Resonance 1 - © 2008 A Ganago Resonance Resonance is...

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Unformatted text preview: © 2008 A. Ganago Resonance Resonance is defined through the equivalent impedance of the circuit: At resonance, the circuit behaves as purely resistive, so that the voltage is exactly in-phase with current. At resonance, some voltages in the circuit can greatly exceed the voltage applied to the circuit (the output gets larger than the input), due to the energy gradually stored in the circuit. © 2008 A. Ganago Impedance of an RLC Circuit • In a series RLC circuit, the equivalent impedance Z = R + Z L + Z C = R + j· X R is resistance, X is reactance • Z = R + j · ω · L + 1/( j · ω · C ) • X = ω · L - 1/( ω · C ) • At ω → 0 , X < 0 and at ω →∞ , X > 0 • There exists ω R where X = 0 © 2008 A. Ganago Resonant Frequency • The frequency ω R where the reactance X = 0 is called resonant frequency • In any circuit, the resonant frequency is defined as ω R where X = 0 • Thus the strategy for finding ω R is simple: [1] Calculate the equivalent impedance of the...
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62 Resonance 1 - © 2008 A Ganago Resonance Resonance is...

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