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電路原理chapter10resonance(已修改)

2025-10-07 18:51 本頁面
 

【正文】 XRXXRωCωLRZ CLj )(j)1(j????????? I R j? L + _ Cωj1? U2. series resonance in the series RLC circuit 1) resonant condition: resonant angular frequency LCω10 ?c i r c u i t . t h e in o c c u r s r e s o n a n c e 1 w h e n00 ,CLω ??10. 1 series resonance 1. resonance definition Chapter 10 Resonance 2) the resonant condition in an series RLC circuit a. L and C keep constant, ? changes b. ? keeps constant, L or C changes( usually C changes) resonant angular frequency LCω10 ?resonant frequency LCf π210 ?resonant period LCfT π2/100 ??3) characteristics of the series RLC resonance p h as e . in ar e an d .a ?? IUb. The input impedance Z is purely resistive, Z=R. The impedance magnitude of the circuit |Z| reaches its minimum. |Z| ? ?0 O R c. Current I reaches its maximum. I0=U/R (U keeps constant)。 ? I R j? L + _ Cωj 1? U+ + + _ _ _ RU? LU? CU? 0 ?? ?? CL UUd. The sum of voltages across L and C is equal to zero. UU R ?? ? LU? CU? RU? ? IPhasor diagram at resonance If ?0L=1/(?0C )R , UL= UC U 。 e. power P=RI02=U2/R, the resistor absorbs the maximum power. 2002001 , ,0 ICωQLIω CLCL ??????3. characteristic impedance and quality factor 1). characteristic impedance ? unit: ? CLCL ??? 001???2). quality factor Q dimensionless CLRRCωRLωRQ1100 ???? ?Reactance of the inductor or the capacit
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