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Exercise:
Calculate the em resonance frequency i.e. the frequency for lowest impedance of an ac series circuit with resistance RO inductance LO and capacitance CO. What are impedance and phase shift at this frequency?

Solution:
The impedance of an RLC series circuit is given by Zomega sqrtR^+leftomega L-fracomega Cright^ The minium value is given by the condition omega_ L fracomega_ C Longrightarrow f_ fracomega_pi fF fracpisqrtLtimesC f approx resultfP The impedance at the resonance frequency is Zomega_ R resultRO and the phase shift is given by tanDeltaphi fracomega_ L-fracomega_ CR Longrightarrow Deltaphi result i.e. the current is in phase with the voltage.
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Exercise:
Calculate the em resonance frequency i.e. the frequency for lowest impedance of an ac series circuit with resistance RO inductance LO and capacitance CO. What are impedance and phase shift at this frequency?

Solution:
The impedance of an RLC series circuit is given by Zomega sqrtR^+leftomega L-fracomega Cright^ The minium value is given by the condition omega_ L fracomega_ C Longrightarrow f_ fracomega_pi fF fracpisqrtLtimesC f approx resultfP The impedance at the resonance frequency is Zomega_ R resultRO and the phase shift is given by tanDeltaphi fracomega_ L-fracomega_ CR Longrightarrow Deltaphi result i.e. the current is in phase with the voltage.
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Circuits
Tags
ac circuit, impedance, lcr series circuit, phase shift, resonance
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(2, default)
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Language
ENG (English)
Type
Calculative / Quantity
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