At resonance, what is the relation between impedance of a series $L C R$ circuit and its resistance $R$ ?

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Solution

At resonance, $X_{L} = X_{C}$ . So, total reactance $= X_{T} = X_{L} - X_{C} = 0$
So, the relation between impedance of a series $L C R$ circuit and its resistance $R$ at resonance is $Z = R$ .

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At resonance, what is the relation between impedance of a series LCR circuit and its resistance R?

At resonance, XL=XC. So, total reactance =XT=XL−XC=0So, the relation between impedance of a series LCR circuit and its resistance R at resonance is Z=R.

At resonance, what is the relation between impedance of a series $L C R$ circuit and its resistance $R$ ?

At resonance, $X_{L} = X_{C}$ . So, total reactance $= X_{T} = X_{L} - X_{C} = 0$
So, the relation between impedance of a series $L C R$ circuit and its resistance $R$ at resonance is $Z = R$ .