Which graph shows the correct variation of r. | vedclass

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(B) In a series $LCR$ circuit, the impedance $Z$ is given by $Z = \sqrt{R^2 + (X_L - X_C)^2}$, where $X_L = 2\pi fL$ and $X_C = \frac{1}{2\pi fC}$.The

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$(P)$

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(B) In a series $LCR$ circuit, the impedance $Z$ is given by $Z = \sqrt{R^2 + (X_L - X_C)^2}$, where $X_L = 2\pi fL$ and $X_C = \frac{1}{2\pi fC}$.The r.m.s. current is given by $i = \frac{V}{Z} = \frac{V}{\sqrt{R^2 + (2\pi fL - \frac{1}{2\pi fC})^2}}$.At resonance frequency $f_0 = \frac{1}{2\pi\sqrt{LC}}$, the impedance $Z$ is minimum $(Z = R)$, and therefore the current $i$ is maximum.As the frequency $f$ moves away from $f_0$ (either increasing or decreasing), the impedance $Z$ increases, causing the current $i$ to decrease.This variation of current $i$ with frequency $f$ is represented by a bell-shaped curve, which corresponds to graph $(P)$.

List-$I$	List-$II$
$(a)$ $\omega L > \frac{1}{\omega C}$	$(i)$ Current is in phase with $emf$
$(b)$ $\omega L = \frac{1}{\omega C}$	$(ii)$ Current lags behind the applied $emf$
$(c)$ $\omega L < \frac{1}{\omega C}$	$(iii)$ Maximum current occurs
$(d)$ Resonant frequency	$(iv)$ Current leads the $emf$

Which graph shows the correct variation of r.m.s. current '$i$' with frequency '$f$' of a.c. in case of a series resonant circuit?

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