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Lecture 30 - AC power. Resonance. Transformers

Lecture 30 - AC power. Resonance. Transformers - Resonance...

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1 Lecture 30 AC power Resonance AC power. Resonance. Transformers. Resonance Current amplitude in a series RLC circuit driven by a source of amplitude E : E I Z Maximum current when impendance is minimum  2 2 LC ZXXR  i.e., when XX Resonance 1 L C 0 1 Resonance: Driving frequency = natural frequency cos R 0 0 2 o Maximum current maximum cos cos ~ 1 ~ 0 (circuit in phase) It’s the bandpass filter! Power in AC circuits       cos Pt tit t I t   Instantaneous power supplied to the circuit: Often more useful: Average power EI   1 cos 2 PE sin tt    2 22 0 11 xx d x  2 0 1 0 2 xxdx Define: 2 rms 2 cos PEI Power factor Power factor (PF) Maximum power = 0 Resonant circuit EE ZR 2 PIR All energy dissipation happens at the resistor(s).

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2 The Q factor How “sharp” is the resonance? (ie, the resonance peak) U max
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Lecture 30 - AC power. Resonance. Transformers - Resonance...

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