# Physics II Lab w answers_Part_31 - where Io exhibits...

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73 where I o exhibits resonance behaviour . The amplitude I o is given by 2 1 2 2 0 0 C L 1 L R I ± ² ³ ³ ´ µ · ¸ ¹ ¹ º » - + = ω ε ----------------------(4) R C 1 L Tan α - = -------------------------------(5) Gives the phase of the current relative to the applied emf. We can write I o = o / Z where , 2 1 2 2 C 1 L R Z ± ² ³ ³ ´ µ · ¸ ¹ ¹ º » - + = ------------------------(6) is the impedance of the circuit .The reactance X of the circuit is L 1 L X - = , ---------------------------(7) so that the impedance Z is given by Z= ( R 2 + X 2 ) 1/2 Clearly the impedance will be minimum (and I o will be maximum) at resonance condition when the reactance vanishes, i.e. . at the angular frequency (known as resonance frequency ) C L 1 0 = -------------------------------(8) which is the natural frequency of electromagnetic oscillations in LCR circuit without an external source of emf . I.2

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## This note was uploaded on 11/26/2011 for the course PHY 2053 taught by Professor Lind during the Fall '09 term at FSU.

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Physics II Lab w answers_Part_31 - where Io exhibits...

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