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Figure shows a series LCR circuit connected to a variable frequency 230 V source. Determine the source frequency which drives the circuit in resonance.

Q7.11     Figure shows a series LCR circuit connected to a variable frequency 230\: V source.  L=5.0HC=80\mu F, R=40\Omega.

(a)    Determine the source frequency which drives the circuit in resonance.

        

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Given,

Variable frequency supply voltage V = 230V

Inductance L=5.0H

Capacitance C=80\mu F=80*10^{-6}F

Resistance R=40\Omega

a) Resonance angular frequency in this circuit is given by :

w_{resonance}=\frac{1}{\sqrt{LC}}=\frac{1}{\sqrt{5*80*10^{-6}}}=\frac{1000}{20}=50rad/sec

Hence this circuit will be in resonance when supply frequency is 50 rad/sec.

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