Answer:
Impedance Z given as
[tex]Z=\sqrt{(X_C^2-X_L^2)+R^2}[/tex]
At resonance
[tex]X_C=X_L[/tex]
[tex]Z=\sqrt{(X_C^2-X_C^2)+R^2}[/tex]
Z=R
At the resonance condition the impedance of a series RLC will be equal to the R.
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The quality factor of the circuit depends on R ,L ,C and width of the resonance.
Quality factor Q
[tex]Q=\dfrac{f}{BW}[/tex]
BW= Band width
f=Frequency at resonance