Three studends X,Y and Z performed an experiment for studying variation of a.c. with angular frequency in series LCR circuit, and obtained the graphs shown in Fig. They all used a.c. soucre of same rms value and inductance of same value. What can we conclude about (i) Capacitance value (ii) Resistance value used by them? In which case will the quality factor be maximum? What we conclude about nature of impedance of set up at frequency `omega_(0)` ?

Explanation

For resonance, `X_(L) = X_(C )`. As L is same, therefore, capactance used by all the three students must be the same for same value of `omega_(0)`.
Maximum value of current is inversely proportional to R. Therefore, resistance used by students X is lowest and resistance used by student Z is the highest.
At `omega_(0)`, impedance is equal to ohmic resistance only.